Associate Professor of Mathematics

Graduate Group of Applied Mathematics

University of California, Davis

lastname (At) hostname of webpage

Mathematical
Sciences Building, 2138

One Shields Ave.

University of
California

Davis, CA 95616

- P. Gutierrez-Castillo, A. Kagel, B. Thomases, "Three dimensional viscoelastic instabilities in a four-roll mill geometry at the Stokes limit", Accepted, Physics of Fluids (2020). Authors final copy here
- B. Thomases and R.D. Guy, "Polymer stress growth in viscoelastic fluids in oscillating extensional flows with applications to micro-organism locomotion", J. Non-Newtonian Fluid Mech., 269, (2019): 47-56. arxiv
- D. Stein, R.D. Guy, and B. Thomases, "Convergent solutions of Stokes Oldroyd-B boundary value problems using the Immersed Boundary Smooth Extension (IBSE) method", J. Non-Newtonian Fluid Mech., 268, (2019): pp. 56-65. link to journal
- P. Gutierrez-Castillo, B. Thomases, "Proper Orthogonal Decomposition (POD) of the flow dynamics for a viscoelastic fluid in a four-roll mill geometry at the Stokes limit", Journal of Non-Newtonian Fluid Mechanics 264 (2019): 48-61. link to journal,
- C. Li, B. Thomases, R.D. Guy, "Orientation dependent elastic stress concentration at tips of slender objects translating in viscoelastic fluids", Physical Review Fluids 4, 031301(R), (2019) arXiv:1809.03563
- C. Li, B. Qin, A. Gopinath, P. Arratia, B. Thomases, R.D. Guy, "Flagellar swimming in viscoelastic fluids: role of fluid elastic stress revealed by simulations based on experimental data", Journal of The Royal Society Interface, 14.135 (2017): 20170289. link to journal
- B. Thomases and R.D. Guy, "The role of body flexibility in stroke enhancements for finite-length undulatory swimmers in viscoelastic fluids", Journal of Fluid Mechanics, 825 (2017): 109-132. link to journal, arXiv preprint
- D. Stein, R.D. Guy, and B. Thomases, "Immersed Boundary Smooth Extension (IBSE): A high-order method for solving incompressible flows in arbitrary smooth domains", Journal of Computational Physics, 335 (2017): 155-178. link to journal, arXiv preprint
- J. A. Biello and B. Thomases, "Equilibrium circulation and stress distribution in viscoelastic creeping flow", Journal of Non-Newtonian Fluid Mechanics 229 (2016): 101-111. link to journal, 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, (2011). 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

- Curriculum Vitae
- Check out this news article about my research.
- Here's a blog post about using undergraduate learning assistants in math classes.

Last revised January, 2020