Becca Thomases

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Thomas SiderisProfessor of Mathematics, University of California, Santa BarbaraVerified email at math.ucsb.edu
Michael ShelleyCenter for Computational Biology, The Flatiron Institute, and Courant Institute, NYUVerified email at cims.nyu.edu
David B. SteinCenter for Computational Biology, Flatiron Institute, Simons FoundationVerified email at flatironinstitute.org
Michael RenardyVirginia TechVerified email at vt.edu
Chuanbin LiDepartment of Mathematics, The Penn State UniversityVerified email at psu.edu
Dehua WangUniversity of PittsburghVerified email at math.pitt.edu
Paloma Gutierrez - CastilloKrener Assistant Professor, University of California, DavisVerified email at math.ucdavis.edu
Boyang QinPostdoc, Molecular Biology, Mechanical and Aerospace Engineering, PrincetonVerified email at princeton.edu
Paulo E. ArratiaProfessor of Mechanical Engineering & Applied Mechanics, University of PennsylvaniaVerified email at seas.upenn.edu
Arvind GopinathDepartment of Bioengineering, University of California, MercedVerified email at ucmerced.edu
Jean-Luc ThiffeaultUniversity of Wisconsin - MadisonVerified email at math.wisc.edu
Jason MetcalfeProfessor of Mathematics, University of North CarolinaVerified email at email.unc.edu
Joseph BielloUniversity of California, DavisVerified email at math.ucdavis.edu

Becca Thomases

Professor of Mathematics, University of California, Davis

Verified email at math.ucdavis.edu

Complex Fluid modeling and simulation partial differential equations fluid dynamics


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Long time behavior of solutions to the 3D compressible Euler equations with damping TC Sideris, B Thomases, D Wang Taylor & Francis Group 28 (3-4), 795-816, 2003	237	2003
Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit TC Sideris, B Thomases Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2005	119	2005
Symmetric factorization of the conformation tensor in viscoelastic fluid models N Balci, B Thomases, M Renardy, CR Doering Journal of Non-Newtonian Fluid Mechanics 166 (11), 546-553, 2011	118	2011
Emergence of singular structures in Oldroyd-B fluids B Thomases, M Shelley Physics of fluids 19 (10), 103103, 2007	114	2007
Mechanisms of elastic enhancement and hindrance for finite-length undulatory swimmers in viscoelastic fluids B Thomases, RD Guy Physical review letters 113 (9), 098102, 2014	108	2014
Immersed boundary smooth extension: a high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods DB Stein, RD Guy, B Thomases Journal of Computational Physics 304, 252-274, 2016	82	2016
Global existence for three‐dimensional incompressible isotropic elastodynamics TC Sideris, B Thomases Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2007	78	2007
Transition to mixing and oscillations in a Stokesian viscoelastic flow B Thomases, M Shelley Physical review letters 103 (9), 094501, 2009	59	2009
Flagellar swimming in viscoelastic fluids: role of fluid elastic stress revealed by simulations based on experimental data C Li, B Qin, A Gopinath, PE Arratia, B Thomases, RD Guy Journal of The Royal Society Interface 14 (135), 20170289, 2017	44	2017
Immersed boundary smooth extension (IBSE): a high-order method for solving incompressible flows in arbitrary smooth domains DB Stein, RD Guy, B Thomases Journal of Computational Physics 335, 155-178, 2017	42	2017
An analysis of the effect of stress diffusion on the dynamics of creeping viscoelastic flow B Thomases Journal of Non-Newtonian Fluid Mechanics 166 (21-22), 1221-1228, 2011	41	2011
A Stokesian viscoelastic flow: transition to oscillations and mixing B Thomases, M Shelley, JL Thiffeault Physica D: Nonlinear Phenomena 240 (20), 1602-1614, 2011	35	2011
Local energy decay for solutions of multi-dimensional isotropic symmetric hyperbolic systems TC Sideris, B Thomases Journal of Hyperbolic Differential Equations 3 (04), 673-690, 2006	29	2006
The role of body flexibility in stroke enhancements for finite-length undulatory swimmers in viscoelastic fluids B Thomases, RD Guy Journal of Fluid Mechanics 825, 109-132, 2017	28	2017
Proper Orthogonal Decomposition (POD) of the flow dynamics for a viscoelastic fluid in a four-roll mill geometry at the Stokes limit P Gutierrez-Castillo, B Thomases Journal of Non-Newtonian Fluid Mechanics 264, 48-61, 2019	19	2019
Computational challenges for simulating strongly elastic flows in biology RD Guy, B Thomases Complex Fluids in Biological Systems: Experiment, Theory, and Computation …, 2015	16	2015
Orientation dependent elastic stress concentration at tips of slender objects translating in viscoelastic fluids C Li, B Thomases, RD Guy Physical Review Fluids 4 (3), 031301, 2019	15	2019
A mathematician’s perspective on the Oldroyd B model: Progress and future challenges M Renardy, B Thomases Journal of Non-Newtonian Fluid Mechanics 293, 104573, 2021	13	2021
Elastic Waves in Exterior Domains Part II: Global Existence with a Null Structure J Metcalfe, B Thomases International Mathematics Research Notices 2007 (9), rnm034-rnm034, 2007	11	2007
Convergent solutions of Stokes Oldroyd-B boundary value problems using the Immersed Boundary Smooth Extension (IBSE) method DB Stein, RD Guy, B Thomases Journal of Non-Newtonian Fluid Mechanics 268, 56-65, 2019	10	2019

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