| 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 | 271 | 2003 |
| 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 | 144 | 2011 |
| 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 | 140 | 2005 |
| 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 | 126 | 2014 |
| Emergence of singular structures in Oldroyd-B fluids B Thomases, M Shelley Physics of fluids 19 (10), 2007 | 121 | 2007 |
| 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 | 94 | 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 | 93 | 2007 |
| Transition to mixing and oscillations in a Stokesian viscoelastic flow B Thomases, M Shelley Physical review letters 103 (9), 094501, 2009 | 72 | 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 | 58 | 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 | 55 | 2017 |
| 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 | 47 | 2021 |
| 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 | 47 | 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 | 44 | 2011 |
| 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 | 34 | 2017 |
| 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 | 32 | 2006 |
| 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 | 24 | 2019 |
| 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 | 19 | 2019 |
| Computational challenges for simulating strongly elastic flows in biology RD Guy, B Thomases Complex fluids in biological systems: experiment, theory, and computation …, 2014 | 19 | 2014 |
| 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 | 14 | 2019 |
| 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 | 12 | 2007 |
Thomas SiderisProfessor of Mathematics, University of California, Santa BarbaraVerified email at math.ucsb.edu