Becca Thomases

Associate Professor of Mathematics, University of California, Davis

 

E-mail address

lastname (At) hostname of webpage

Office

Mathematical Sciences Building, 3214

One Shields Ave.

University of California

Davis, CA 95616

Phone: (530) 554 - 2988

Fax: (530) 752 - 6635

Current Teaching

Winter 2016: 17A

Recent Teaching

Fall 2013: 21C,390

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

Publications

  • 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

About Me

Links

 

Last revised 4/7/16