Existence, regularity and weak-strong uniqueness for the three-dimensional Peterlin viscoelastic model

DOI10.4310/CMS.2022.v20.n1.a6zbMath1510.35205arXiv2102.02422MaRDI QIDQ6359788

A. Brunk, Yong Lu, Mária Lukáčová-Medvid'ová

Publication date: 4 February 2021

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Linear elasticity with initial stresses (74B10) Viscoelastic fluids (76A10) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Nonlinear constitutive equations for materials with memory (74D10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

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