Associate
Professor of Mathematics,

lastname (At) hostname of webpage

Mathematical
Sciences Building, 3214

One Shields Ave.

University of
California

Davis, CA 95616

Phone: (530) 554
- 2988

Fax: (530) 752 -
6635

Winter 2016: 17A

Winter 2012: Complex Fluids with Applications to Biology

Fall 2011: 2011/2012 VIGRE RFG Complex Fluids

Fall 2011: Math 17C

Winter 2011: Math 16C

Winter 2011: Math 185A

Fall 2010: Math 201A

- J. A. Biello and B. Thomases, "Equilibrium circulation and stress distribution in viscoelastic creeping flow", Arxiv preprint
- D. Stein, R.D. Guy, and B. Thomases, "Immersed Boundary Smooth Extension: A high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods", Journal of Computational Physics, Vol 304 C, pp. 252-274 (2016) pdf
- R.D. Guy and B. Thomases, "Computational challenges for simulating strongly elastic flows in biology", Complex Fluids in Biological Systems. 359-397 (2015). pdf
- B. Thomases and R.D. Guy, "Mechanisms of elastic enhancement and
hindrance for finite length undulatory swimmers in viscoelastic
fluids", Physical Review Letters. Vol 113, 098102 (2014). pdf

- B. Thomases, "An Analysis of the Effect of Stress Diffusion on the Dynamics of Creeping Viscoelastic Flow", Journal of Non-Newtonian Fluid Mechanics, Vol 166, 21-22, pp. 1221-1228, (2001). pdf

- B. Thomases, M. Shelley, and Thiffeault J.-L., " A Stokesian Viscoelastic Flow: Transition to oscillations and
mixing", Physica D, 240 Vol 20, pp. 1602-1614 (2011). pdf
- N. Balci, B. Thomases, C. Doering, and M. Renardy, " Symmetric Factorization of the Conformation Tensor in Viscoelastic Fluid Models",
Journal of Non-Newtonian Fluid Mechanics, Vol 166, pp. 546-553 (2011). arxiv
- B. Thomases and M. Shelley "Transition to Mixing and Oscillations in a Stokesian Viscoelastic Flow", Physical Review Letters, 103, 094501 (2009). pdf
- B. Thomases and M. Shelley "Emergence of Singular Structures in Oldroyd-B Fluids", Physics of Fluid, Vol. 19 no. 10,
(2007). pdf
- J. Metcalfe and B. Thomases "Elastic waves in exterior domains, Part II: Global existence with a null structure", International Mathematics Research Notices, rnm034-43 (2007) pdf
- T. Sideris and B. Thomases, "Global Existence for 3D
Incompressible Isotropic Elastodynamics".
Communications in Pure and Applied Mathematics, Vol 60, no. 12, 1707-1730 (2007) pdf
- T. Sideris and B. Thomases
"Local Energy Decay for Solutions of
Multi-Dimensional Isotropic Symmetric Hyperbolic Systems", Journal of Hyperbolic
Differential Equations, Vol. 4, pp. 673-690 (2006)
pdf
- C. Morawetz and B. Thomases, "A Decay Theorem for Some Symmetric
Hyperbolic Systems", Journal of Hyperbolic Differential Equations, Vol. 3, pp. 475-480 (2006) pdf
- T. Sideris and B. Thomases,
"Global Existence For 3D
Incompressible Isotropic Elastodynamics Via the
Incompressible Limit", Comm. Pure Appl. Math.
58 no. 6, 750-788 (2005) pdf
- T. Sideris, B. Thomases, and D. Wang,
"Long Time Behavior of
Solutions to the 3D Compressible Euler Equations with Damping" Comm.
Partial Differential Equations, Vol 28, no 3-4, pp. 796-816 (2003) pdf

- Department of Mathematics, UC Davis
- University of California, Davis
- Courant Institute of Mathematical Sciences

Last revised 4/7/16