Becca Thomases

Associate Professor of Mathematics

Graduate Group of Applied Mathematics

University of California, Davis

 

E-mail address

lastname (At) hostname of webpage

Office

Mathematical Sciences Building, 2138

One Shields Ave.

University of California

Davis, CA 95616

Publications

  • 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

About Me

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Last revised 06/22/19