Partial CV for Richard J. Braun
- Contact Information
- Department of Mathematical Sciences
- University of Delaware
- Newark, DE 19716
- Voice: (302) 831-1869, Fax: (302) 831-4511
- Email: braun@math.udel.edu
- Web: http://www.math.udel.edu/~braun
- Education
- Department of Engineering Sciences and Applied Mathematics
- Northwestern University, Evanston, IL
- Ph.D. in Applied Mathematics, 1991
- Advisor: Professor S.H. Davis
- Department of Mechanical Engineering
- Santa Clara University, Santa Clara, CA
- M.S. in Mechanical Engineering, 1987
- B.S. in Mechanical Engineering, 1983
- Experience
- Department of Mathematical Sciences
- University of Delaware, Newark, DE
- Professor, 2004-
- Associate Professor, 1999-2004.
- Assistant Professor, 1995-1999.
- Institute for Mathematics and its Applications
- University of Minnesota, Minneapolis, MN
- Associate Director, 2013-2014.
- School of Mathematics
- University of Minnesota, Minneapolis, MN
- Visiting Professor, 2013-2014.
- Mathematical and Computational Sciences Division
- National Institute of Standards and Technology, Gaithersburg, MD
- Guest Researcher, 2007-2011.
- Faculty Appointee, 1996-2001, 2001-2006.
- Research Mathematician, 1993-1995.
- National Research Council Postdoctoral Fellow, 1991-1993.
- Advisor: Dr. G.B. McFadden
- Institute for Mathematics and Its Applications
- University of Minnesota, Minneapolis, MN
- Long term visitor, 9/2009-12/2009.
- Faculty of Mathematical Studies
- University of Southampton, Southampton, UK
- EPSRC Visiting Fellow, 1/2002-8/2002.
- Hewlett Packard Company, Santa Clara, CA
- Manufacturing Engineer and Development Engineer, 1984-1987.
- Department of Mechanical Engineering
- Santa Clara University, Santa Clara, CA
- Teaching Assistant, 1983-1984.
- Editorial Positions
- Mathematics-in-Industry Case Studies, Editorial Board, 2007-now.
- SIAM Journal on Applied Mathematics, Associate Editor, 2009-now.
- Journal of Engineering Mathematics, Executive Associate Editor, 2011-now.
- Associate Editor, Interfacial Phenomena and Heat Transfer, 2013-now.
- Editorial Board Member, Journal of Modeling in Ophthalmology, 2015-now.
- Research Interests
- My research interests include the theory of phase change and
fluid dynamics with free boundaries and the dynamics of the tear film on
the ocular surface.
The mathematical aspects include nonlinear ordinary
and partial differential equations, differential algebraic equations,
asymptotic and perturbation methods, and scientific computing.
- Publications
- Computed Tear Film and Osmolarity Dynamics on an Eye-Shaped Domain," Longfei Li,
R.J. Braun, T.A. Driscoll, W.D. Henshaw, J.W. Banks and P.E. King-Smith, Math. Med.
Biol., 2015; doi.
- The Effects of Increasing Ocular Surface Stimulation on Blinking and Tear Secretion," Ziwei
Wu, C.G. Begley, N. Port, A. Bradley, R.J. Braun and P.E. King-Smith, Invest. Ophthalmol.
Vis. Sci., 56:4211-4220, 2015; doi
- "Tear Film Dynamics with Evaporation, Osmolarity and Surfactant Transport," J. Siddique
and R.J. Braun, Appl. Math. Modeling, 39:255-269, 2015; doi.
- "Tear film dynamics with evaporation, wetting, and time-dependent flux boundary condition on an eye-shaped domain,"
Longfei Li, RJ Braun, KL Maki, WD Henshaw, PE King-Smith,
Physics of Fluids, 26:052101 (2014); doi
- "A Model for Tear Film Thinning With Osmolarity and Fluorescein," RJ Braun, NR Gewecke, CG Begley, PE King-Smith and JI Siddique, Invest. Ophthalmol. Vis. Sci. 55:1133-1142, 201;
doi
- "Heat transfer and tear film dynamics over multiple blink cycles," Quan Deng, RJ Braun and TA Driscoll, Phys. Fluids, 26:071901 (2014); doi
- "A model for the tear film and ocular surface temperature for partial blinks," Quan Deng, RJ Braun, TA Driscoll and PE King-Smith, Interfacial Phenomena and Heat Transfer, 1:357-381, 2013; doi
- "Evaporation-driven instability of the precorneal tear film," C-C Peng, C Cerretani, RJ Braun and CJ Radke, Advances in Colloid and Interface Science, 206:250-264, 2014;
doi
- "Tear Film Breakup and Structure Studied by Simultaneous Video Recording of Fluorescence and Tear Film Lipid Layer Images," PE King-Smith, KS Reuter, RJ Braun, JJ Nichols and KK Nichols, Invest. Ophthalmol. Vis. Sci., 54:4900-09, 2013;
doi
- "Tear Film Images and Breakup Analyzed Using Fluorescent Quenching," PE King-Smith, P. Ramamoorthy, RJ Braun and JJ Nichols, Invest. Ophthalmol. Vis. Sci. 54:6003-11, 2013;
doi
- "A Model for the Human Tear Film with Heating from Within the Eye," Longfei Li and R.J. Braun, Phys. Fluids 24, (2012) 062103.
- "Dynamics of the Tear Film," R.J. Braun, Annu. Rev. Fluid Mech. 44, (2012) 267-297.
- "High resolution microscopy
of the lipid layer of the tear film," P.E. King-Smith, J.J. Nichols, R.J. Braun, K.K. Nichols, The Ocular Surface 9(4), (2011) 197-211.
- "Continuum Models for the Spread of Alcohol Abuse,"
D.A. French, Z. Teymuroglu, T.J. Lewis and R.J. Braun,
J. Int. Eqns. Appl., 22 (2010) 443-464.
- "Thin Film Dynamics on a Prolate Spheroid with Application to the Cornea,"
R.J. Braun, R. Usha, G.B. McFadden, T.A. Driscoll, L.P. Cook and P.E. King-Smith,
J. Engrg. Maths., 73 (2012) 121-138.
- "Tear Film Dynamics on an Eye-shaped Domain II. Flux Boundary Conditions,"
K.L. Maki, R.J. Braun, P. Ucciferro, W.D. Henshaw and P.E. King-Smith, J Fluid Mech 647 (2010) 361-390.
- "Tear Film Dynamics on an Eye-shaped Domain I. Pressure Boundary Conditions,"
K.L. Maki, R.J. Braun, W.D. Henshaw and P.E. King-Smith, Math Med Biol
27, (2010) 227-254.
- "A Model for Wetting and Evaporation of a Post-blink Precorneal Tear Film,"
K.N. Winter, D.M. Anderson and R.J. Braun, Math Med Biol 27, (2010) 211-225.
- "The Contribution of Lipid Layer Movement to Tear Film Thinning and Breakup,"
P.E. King-Smith, B.A. Fink, J.J. Nichols, K.K. Nichols, R.J. Braun and G.B. McFadden,
Invest. Ophthalmol. Vis. Sci., 50, (2009) 2747-2756.
- "An Overset Grid Method for the Study of Reflex Tearing,"
K.L. Maki, R.J. Braun, T.A. Driscoll, and P.E. King-Smith,
Math. Med. Biol. 25, (2008) 187-214.
- "Contributions of Evaporation and Other Mechanisms to Tear Film Thinning and Breakup: A Review,"
P. Ewen King-Smith, Jason J. Nichols, Kelly K. Nichols, Barbara A. Fink and Richard J. Braun,
Optom. Vision Sci. 85(8), (2008) 623-630.
- "Single-Equation Models for the Tear Film in a Blink Cycle:
Realistic Lid Motion,"
A. Heryudono, R.J. Braun, T.A. Driscoll, L.P. Cook, K. Maki and P.E. King-Smith,
Math. Med. Biol. 24, (2007) 347-377.
- "Model Problems for the Tear Film in a Blink Cycle:
Single Equation Models," R.J. Braun and P.E. King-Smith,
J. Fluid Mech. 586, (2007) 465-490.
- "Models for Human Tear Film Dynamics,"
R.J. Braun, in Wave Dynamics and Thin Film Flow Systems,
R. Usha, A. Sharma and B.S. Dandapat, eds.,
(Narosa, Chennai, India, 2006) pp. 404-434.
- "Application of Small-World Network Theory into Alcohol Epidemiology,"
R.J. Braun, R.A. Wilson, R.A. Buchanan, J.A. Pelesko, and J.A. Gleeson,
J. Studies on Alcohol 67 (2006) 591-599.
- "Numerical Simulation of Liquid Phase Electro-Epitaxial Selective
Area Growth," M. Khenner and R.J. Braun," J. Crystal Growth 279, (2005) 213-228.
- "Modelling Drainage of the Precorneal Tear Film After a Blink,"
R.J. Braun and A.D. Fitt, Mathematical Medicine and Biology
20, (2003) 1-28.
- "A1-L1_0 Phase Boundaries and Anisotropy
via Multiple-Order-Parameter Theory for an fcc Alloy,"
G.B. Tanoglu, R.J. Braun, J.W. Cahn and G.B. McFadden, Interfaces
and Free Boundaries 5(3), (2003) 275-299.
- "A 2+1 Dimensional Insoluble Surfactant Model for Vertical
Draining Free Film," S. Naire, R.J. Braun and S.A. Snow,
J. Comp. Appl. Math 166, (2004) 385-410.
- "A Model for Anisotropic Epitaxial Lateral Overgrowth,"
M. Khenner, R.J. Braun and M.G. Mauk,
J. Crystal Growth 241, (2002) 330-346.
- "An Isotropic Model for Crystal Growth from Vapor
on a Patterned Substrate," M. Khenner, R.J. Braun and M.G. Mauk,
J. Crystal Growth, 235 (2002) 425-438.
- "Models for Gravitationally-Driven Free Film Drainage,"
R.J. Braun, S.A. Snow, and S. Naire, J. Engrg. Math.
43, (2002) 281-314.
- "Gravitationally-Driven Drainage of a Bounded Vertical Film with
an Insoluble Surfactant," A.H. Heidari, R.J. Braun, A.H. Hirsa,
S.A. Snow and S. Naire, J. Colloid Interface Sci 253, (2002) 295--307.
- "Model Phase Diagrams for an fcc Alloy,"
R.J. Braun, J. Zhang, J.W. Cahn, G.B. McFadden and A.A. Wheeler,
Proceedings of Interfaces for the Twenty-First Century, (Imperial
College Press, London, 2002), pp. 213-230.
- "An Insoluble Surfactant Model for a Vertical Draining Free Film
with Variable Surface Viscosity,"
S. Naire, R.J. Braun, and S.A. Snow, Physics of Fluids 13,
(2001) 2492-2502.
- "An Insoluble Surfactant Model for a Vertical Draining Free Film,"
S. Naire, R.J. Braun, and S.A. Snow, J. Colloid Interface Sci.,
230 (2000) 91-106.
- "Modelling the Stabilising Behaviour of Silicone Surfactants
During the Processing of Polyurethane Foam: The Use of Thin Liquid Films,"
Steven A. Snow, Udo C. Pernisz, Benjamin M. Nugent, Robert E. Stevens,
Richard J. Braun and Shailesh Naire,
in Advances in Urethane Science and Technology,
ed. by D. Klempner and K.C. Frisch (Rapra Technology Ltd.,
Shawsbury, UK, 2001) pp. 213-260 (book chapter).
- "Limiting Cases of Gravitational Drainage of a Vertical Free Film
for Evaluating Surfactants,"
S. Naire, R.J. Braun, and S.A. Snow, SIAM J. Appl. Math., 61
(2000) 889-913.
- "A Perspective on Phase-Field Models of Solidification," R.J. Braun,
American Association for Crystal Growth
Newsletter, Winter, 1999 (solicited review article).
- "Gravitational Drainage of a Tangentially Immobile Thick Film,"
R.J. Braun, S.A. Snow and U.C. Pernisz, J. Colloid Interface Sci.
219 (1999) 225-240.
- "Perturbation Analysis of a Problem of Carrier,"
A.D. MacGillivray, R.J. Braun and G.B. Tanoglu,
Stud. Appl. Math., 104 (2000) 293-311.
- "Adaptive Finite-Difference Computations of Dendritic Growth
Using a Phase-Field Model,"
R.J. Braun, B.T. Murray and J. Soto, Model. Sim. Mat. Sci. Eng.
5 (1997) 365-380.
- "Adaptive Phase-Field Computations of Dendritic Crystal Growth,"
R.J. Braun and B.T. Murray,
J. Crystal Growth 177 (1997)
41-53.
- "Anisotropic Equilibrium and Growth Shapes in a Multiple-Order-Parameter
Model of an fcc Alloy," R.J. Braun, J.W. Cahn, G.B. McFadden,
H.E. Rushmeier and A.A. Wheeler, Acta mater. 46
(1997) 1-12.
- "Anisotropy of Interfaces in an Ordered Alloy: A
Multiple-Order-Parameter Model,"
R.J. Braun, J.W. Cahn, G.B. McFadden, and A.A. Wheeler,
Trans. Roy. Soc. London A 355 (1997)
1787-1833.
- "Anisotropic Interfaces and Ordering in fcc Alloys: A
Multiple-Order-Parameter Continuum Theory," R.J. Braun,
J.W. Cahn, J. Hagedorn, G.B. McFadden and A.A. Wheeler,
Mathematics of Microstructure Evolution, ed. L-Q. Chen
et al., (TMS/SIAM, Philadelphia, 1996) 225-244.
- "Lubrication Theory for the Reactive Spreading of Thin Drops,"
R.J. Braun, B.T. Murray, W.J. Boettinger and G.B. McFadden,
Physics of Fluids 7 (1995) 1797-1810.
- "Recent Developments in Phase-Field Models of Solidification,"
A.A. Wheeler, N.A. Ahmad, W.J. Boettinger, R.J. Braun, G.B. McFadden
and B.T. Murray, Advances in Space Research 16
(1995) pp. (7)163-(7)172.
- "Morphological Instability in Phase Field Models of
Solidification," R. J. Braun, G. B. McFadden and S. R. Coriell,
Phys. Rev. E 49 (1994) 4336-4352.
- "Thermodynamically-Consistent Phase-Field Models for
Solidification," S. L. Wang, R. F. Sekerka, A. A. Wheeler,
B. T. Murray, S. R. Coriell, R. J. Braun and G. B. McFadden,
Physica D 69 (1993) 189-200.
- "Phase-Field Models for Anisotropic Interfaces," G. B.
McFadden, A. A. Wheeler, R. J. Braun, S. R. Coriell and R. F.
Sekerka, Phys. Rev. E 48 (1993) 2016-2024.
- "Asymptotic Behavior of Modulated Taylor-Couette Flows with a
Crystal-Melt Interface," R.J. Braun, G.B. McFadden, B.T.
Murray, S.R. Coriell, M.E. Glicksman and M.E. Selleck,
Phys. Fluids A 5 (1993) 1891-1903.
- "Effect of Modulated Taylor-Vortex Flows on Crystal-Melt
Interfaces," G.B. McFadden, R.J. Braun, B.T. Murray, S.R. Coriell and
M.E. Glicksman, Proceedings of the NATO Advanced Research Workshop on
Interactive Dynamics of Convection and Solidification,
(Kluwer Scientific, Amsterdam, 1992) pp. 19-21.
- "Pulsatile Instability in Rapid Directional Solidification:
Strongly Nonlinear Analysis," R.J. Braun, G.J. Merchant, K.
Brattkus and S.H. Davis, Proceedings of the VIIIth
European Symposium on Materials and Fluid Sciences in Microgravity,
Vol. II, (ESA Publications Division, Noordwijk, 1992) pp. 559-562.
- "Pulsatile Instability in Rapid Directional Solidification:
Strongly Nonlinear Analysis," G. J. Merchant, R. J. Braun,
K. Brattkus and S. H. Davis, SIAM J. Appl. Math. 52
(1992) 1279-1302.
- "Pulsatile and Cellular Mode Interaction in Rapid Directional
Solidification," R. J. Braun, G. J. Merchant and S. H. Davis,
Phys. Rev. B 45 (1992) 7002-7016.
- "Cellular Instability in Rapid Directional Solidification:
Bifurcation Theory," R.J. Braun and S.H. Davis,
Acta metall. mater. 40 (1992) 2617-2638.
- "Oscillatory Instabilities in Rapid Directional Solidification:
Bifurcation Theory," R.J. Braun and S.H. Davis,
J. Crystal Growth 112 (1991) 670-690.
- Funding History
- National Science Foundation DMS-1412085,
"Collaborative Research: Tear Film Dynamics: Modeling, Blinking, and Computation,"
with T.A. Driscoll, 2014-18, plus REU supplements in 2015 and 2016.
- IMA Participating Institution Conference grant for 28th annual
Mathematical Problems in Industry Workshop, with
D.A. Edwards and L.F. Rossi, 2012.
- National Science Foundation, DMS-1022704, "Modeling Tear Film Dynamics,"
with T.A. Driscoll, P.E. King-Smith and W.D. Henshaw, 2010-13; REU support for two students in summer 2011.
- National Science Foundation, DMS-0753064, "Collaborative Research: Special meeting: The MPI Workshop," coPI with L. Rossi (PI).
(Collaborative with projects at Rensselaer Polytechnic Institute and Worcester Polytechnic Institute).
- National Science Foundation, DMS-0616483, "Modeling the Blink Cycle and Lipid Dynamics in the Tear Film,"
with L.P. Cook, T.A. Driscoll, P.E. King-Smith
and W.D. Henshaw, 2006-2010; REU supplement for summer 2007 for two undergraduates and summers 2008 2009 and 2010 for one undergraduate each.
- University of Delaware, Foreign Travel Award, 2006.
- IMA PI Conference Grant for MPI 2004, with D.A. Edwards, 2004.
- National Science Foundation, DMS-0322585, "Mathematical Sciences
Scientific Computing Research Environments," with T.A. Driscoll, P.B. Monk and
L.F. Rossi, 2003-2005.
- Dow Corning Corporation, For modeling vertical draining free films,
three grants: 1996-1997; 1997-1999; 1999-2002.
- National Institute of Standards and Technology, Support for
15th and 16th annual Mathematical Problems in Industry Workshops,
two grants: 1999; 2000.
- E.I. du Pont de Nemours and Company, "Modeling Oxide Growth at High
Temperature," 1998-2001.
- National Science Foundation DMS-9631287,
"GIG--Applied Mathematics with Internship," with P.B. Monk (PI)
and L.P. Cook-Ioannidis, 1996-2001.
- National Science Foundation, DMS-9722854, "Mathematical Sciences
Scientific Computing Research Environments," with P.B. Monk (PI)
and R.E. Kleinman, 1997-1999.
- National Science Foundation DMS--9623092, "Mathematical Sciences:
Computational Two-Phase Viscous Drop Spreading," 1996-2000.
- University of Delaware Research Foundation, "Phase Boundary
Dynamics Using a MuLtiple-Order-Parameter Theory," 1996-1997.
- Thesis/Degree Students
- Ms. Lan Zhong, PhD in Applied Mathematics, expected 2018.
- Mr. Michael Stapf, PhD in Applied Mathematics, expected 2018.
- Ms. Amy Janett, MS in Applied Mathematics, 2016.
- Dr. Longfei Li, PhD in Applied Mathematics, 2014.
- Dr. Quan Deng, PhD in Applied Mathematics, jointly with Toby Driscoll, 2013.
- Ms. Jennifer Bruhns, BS with Distinction in Quantitative Biology, 2013.
- Mr. Vikramjit Singh, BS with Distinction in Chemical Engineering, 2013.
- Dr. Kara Maki, PhD in Applied Mathematics, 2009.
- Dr. Shailesh Naire, PhD in Applied Mathematics, 2000.
- Dr. Gamze Tanoglu, PhD in Applied Mathematics, 2000.
- Dr. Paki Suwannajan, BS with Distinction in Mathematics, 1999.
- Dr. Jie Zhang, MS in Applied Mathematics, 1997.
- Summer Students
- Ms. Rayanne Luke, Graduate summer project for UNIDEL program, 2017.
- Mr. Ryan Evans, Graduate summer project (2013).
- Mr. Kevin Buckman, Graduate summer project (Unidel), 2013.
- Mr. Justin Grier, Undergraduate summer project, 2013.
- Mr. Matthew Moye, Science and Engineering Scholar, 2013.
- Ms. Jennifer Bruhns, Undergraduate summer project (HHMI), 2011, 2012; (Independent study) 12S; (UG thesis) 2012-13.
- Mr. Vikramjit Singh, Undergraduate summer scholar (SES, 2012; UG thesis 2012-13).
- Mr. Dylan Chapp, Undergraduate summer scholar (NSF REU), 2012
- Mr. Michael Stapf, Graduate summer project (Unidel), 2012.
- Mr. Tianyu Qiu, Graduate summer project (GEMS team), 2012.
- Mr. Douglas Freeman, Undergraduate summer project (NSF REU), 2011.
- Mr. Kaijing Wang, Undergraduate summer project, 2011.
- Mr. Robert Paul, Undergraduate summer project (NSF REU), 2011.
- Mr. Wai-Kit Shum, Undergraduate summer project, 2011.
- Mr. Longfei Li, Graduate summer project (GEMS team), 2010.
- Ms. Stacey Watro, Undergraduate summer project (NSR REU), 2010.
- Mr. Jiahua Tang, Graduate summer project (GEMS team), 2009.
- Ms. Esra Ozturk, Graduate SIAM Handbook of Formulas project, 2009.
- Mr. Brian Ruberti, Graduate SIAM Handbook of Formulas project, 2009.
- Mr. Wisely Wong, Graduate SIAM Handbook of Formulas project, 2009.
- Mr. Don Knieriem, Undergraduate summer project, (HHMI) 2007, 2008.
- Mr. Peter Ucciferro, Undergraduate summer projects, (NSF REU) 2007-09.
- Mr. Paul Parsons, Undergraduate summer project, (NSF REU)2007.
- Mr. Joseph Hartnett, Undergraduate summer project, 2006.
- Mr. A. Homayoun Heidari, Graduate visiting scholar, 1/01-2/01.
- Mr. Juan Soto, Summer student at NIST jointly with B.T. Murray, 1992-94.
- Postdocs
- Dr. Nicholas Gewecke, 8/11-8/14.
- Dr. Michael Sostarecz, 9/04-6/06, jointly with L.P. Cook.
- Dr. Mikhail Khenner, 8/00-7/02.
- Dr. Cynthia (Spade) DeBisschop, 7/00-6/01, jointly with L.P. Cook.
- Visiting Professors
- Dr. R. Usha, IIT Madras, 8/07--8/08.
- Thesis Committees
- Dr. Kuang-Ting Hsiao, PhD in Mechanical Engineering, 1999,
Advisor: Prof. Suresh Advani.
- Dr. Bradley D. Johnson, PhD in Civil Engineering, 2000, Advisor:
Prof. Nobuhisa Kobayashi.
- Dr. Bryan Wood, PhD in Applied Mathematics, 2003, Advisors:
Profs. L.P. Cook and G. Schleiniger.
- Dr. Ozer Elbeyli, PhD in Mechanical Engineering, 2004, Advisor:
Prof. Jian-Qiao Sun.
- Dr. Mihaela Blenariu, PhD in Applied Mathematics, SUNY Buffalo,
2004, Advisor:
Prof. Brian Spencer.
- Dr. Jeffrey Lawrence, PhD in Mechanical Engineering, 2005,
Advisor: Prof. Suresh Advani.
- Dr. Jiguang Sun, PhD in Applied Mathematics, 2005, Advisor:
Prof. Peter Monk.
- Dr. I. M. Rizwan Sadiq, PhD in Applied Mathematics, IIT Madras,
2007, Advisor: Prof. R. Usha.
- Dr. J. Regan Beckham, PhD in Appied Mathematics, 2008, Advisor:
Profs. John Pelesko and Philip Broadbridge.
- Dr. Derek Moulton, PhD in Applied Matheamtics, 2008, Advisor:
Prof. John Pelesko.
- Dr. Zaeem Khan, PhD in Mechanical Engineering, 2009, Advisor:
Prof. Sunil Agrawal.
- Dr. Vivek Sangwan, PhD in Mechanical Engineering, 2010, Advisor:
Prof. Sunil Agrawal.
- Selected Professional Activities
- Member: American Physical Society,
Society for Industrial and Applied Mathematics,
Tear Film and Ocular Surface Society, International Society for Dacryology and
Dry Eye.
- Director of Graduate Studies, Department of Mathematical Sciences, 2007-09.
- Co-organizer of Mathematical Modeling in Industry: A Workhop for Graduate Students, IMA, 2005-2011.
- Chair of organizing committee for 15th, 16th, 20th and 23rd
annual Mathematical
Problems in Industry Workshops,
1999, 2000, 04, 07.
- Organizing committee member for Mathematical
Problems in Industry Workshops, 1999-2012.
- Organized a four-session minisymposium with N. Gewecke and E. Peterson called "Thin Fluid Film Dynamics and Applications"
for SIAM Annual Meeting, 2012.
- Organized and chaired a two-session minisymposium with C. Breward called "Dynamics on the Anterior Eye"
for ICIAM, 2011.
- Organized and chaired a minisymposium called "Recent Applications of
Dynamical Systems in Industrial Settings" for SIAM Applied Dynamical Systems
Meeting, 2005.
- Organized and chaired a minisymposium called "Recent Progress
in Thin Fluid Flows" for AMS Eastern Section Meeting, 2005.
- Co-organized Applied Math Seminar, University of Delaware Department
of Mathematical Sciences, 1997-01, 02-04, 06-07, 10-11.
- Peer Review of Articles for Physics of Fluids, Journal of Crystal Growth,
SIAM Journal on Applied Mathematics,
Quarterly Journal of Mechanics and Applied Mathematics, Physical
Review Letters, Journal of Vibration and Acoustics,
European Journal of Mechanics B, Journal of Colloid and
Interface Science, Philosophical Magazine A,
Journal of Fluid Mechanics, Journal of Computational Physics,
Journal of Engineering Mathematics, Physica D, European
Journal of Applied Mathematics, Current Eye Research,
Interfaces and Free Boundaries, IMA Journal on Applied Mathematics, Journal of Biomechanics, Experimental Eye Research, Bulletin of Mathematical Biology, Optometry and Vision Science, Physical Review B, Journal of the American Statistical Association, Mathematical Methods in the Applied Sciences.
- Peer Review of Proposals for NASA, NRC, NSF, US-Israeli BSF, DOE, EPSRC and the
Petroleum Research Fund.
- Peer Review of Books for SIAM, Wiley and McGraw-Hill.
- Recent Invited Talks
- Frontiers in Applied and Computational Mathematics,", NJIT (Minisymposium talk, June, 2015).
- World Congress of Biomechanics (Minisymposium talk, Boston, July 2014).
- IPAM Workshop "Mathematical Challenges in Ophthalmology," UCLA (January, 2014).
- The Ohio State University (Department of Mathematics, December, 2013).
- EuroMech Colloquium 533 ``Biomechanics of the Eye;" University of Genova, Italy (July, 2013).
- Thin Liquid Films and Fluid Interfaces: Models, Experiments and Applications; Banff International Research Station, December 2012.
- Indiana University (School of Optometry, October, 2012).
- The 17th European Conference on Mathematics for Industry 2012 (2 minisymposia, Lund, Sweden, 2012).
- Ursinus College (Colloquium, Department of Mathematics, 2011).
- Southern Methodist University (Research Colloquium, Department of Mathematics, 2010).
- Oxford University (Differential Equations and Applications Seminar, OCIAM, 2010).
- Small Scale Hydrodynamics: Theory and Application in Microfluidics and Thin Films (Banff International Research Station, 2010).
- Oxford Center for Collaborative Applied Mathematics (Tear Film Group; Oxford, UK, 2009).
- IMA Annual Program Workshop on Flowing Complex Fluids: Rheological Measurements and Constitutive
Modeling (Minneapolis, Sept 2009).
- SIAM Annual Meeting Minisymposium talk (2001, 02, 08 2009).
- Rensselaer Polytechnic Institute (RTG series, Department of Mathematical Sciences, 2009).
- Shippensburg University (Department of Mathematics, 2009).
- AMS Southeast Regional Meeting Special Session on Biological Materials (Raleigh, 2009).
- SIAM Annual Meeting Minisymposium Panel Discussion on Undergraduate Research (San Diego, 2008).
- George Mason University (Department of Mathematical Sciences, 2007).
- SANUM 2007 (Stellenbosch, South Africa, 2007).
- University of the Witwatersrand (Johannesburg, South Africa, 2007).
- SIAM CSE Meeting Minisymposium talk (Costa Mesa, CA, 2007).
- Wave Dynamics and Stability of Thin Film Flow Systems (IIT Madras, India, 2006).
- Recent Contributed Talks
- Tear Film and Ocular Surface Society (2004, 07, 10; 2 posters each).
- Association for Research in Vision and Ophthalmology (2010, 11, 12; poster).
- IMA Hot Topics Workshop on Higher Order Geometric Evolution Equations (poster, 2009).
- APS Division of Fluid Dynamics Annual Meeting (04-10).
- SIAM Applications of Dynamical Systems Meeting (Snowbird, 2005).
- AMS Eastern Section Meeting (University of Delaware, 2005).
- SIAM Annual Meeting (2006, 08)
- Honors and Awards
- Nominated for University Excellence-in-Teaching Award (2006).
- Who's Who in Science and Engineering (since 1998).
- Who's Who in American Education (since 2007).
- American Men and Women of Science (since 1998).
- National Research Council Postdoctoral Fellowship,
National Institute of Standards and Technology (1991-93).
- NASA Graduate Student Researchers Program Fellowship (1989-91).
- Cabell Fellowship, Northwestern University (1987-88).
- Member, Tau Beta Pi, Sigma Xi.
- Outstanding Student Contribution Award,
American Society of Mechanical
Engineers Student Section (1983).
- University Scholarship, Santa Clara University (4 years).
- Presidential Scholarship, Santa Clara University (Senior year).
- Courses Taught
- Math 243 Analytic Geometry and Calculus C
- Math 302 Ordinary Differential Equations
- Math 349 Elementary Linear Algebra
- Math 351 Engineering Mathematics I (* = developed new course)
- Math 353 Engineering Mathematics III (*)
- Math 426 Introduction to Numerical Analysis and Algorithmic Computation
- Math 428 Algorithmic and Numerical Solution of Differential Equations
- Math/Cheg 460 Introduction to Systems Biology
- Math 503 Advanced Calculus
- Math 535 Partial Differential Equations (*)
- Math 611 Introduction to Numerical Analysis and Scientific Computation
- Math 612 Introduction to Numerical Methods for Partial Differential Equations
- Math 660 Introduction to Systems Biology
- Math 667 Introduction to Continuum Mechanics: Topics in Viscous Fluid Flow (*)
- Math 810 Asymptotic and Perturbation Methods
- Math 824 Topics in Applied Mathematics (Viscoelasticity and Free Surface Flows)
- Math 870 Reading courses (Spectral Methods with Matlab; Dynamics on Networks)
- Math 964 Precandidacy Study (Reading in Mathematics and Spectral Methods)
- Personal Information
- Citizenship: U.S.A.
- Hobbies: Bicycling, running and hiking.
Richard Braun 9/29/15