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

DOI10.4310/CMS.2022.v20.n1.a6MaRDI QIDQ2076196

Yanyan Li

Publication date: 16 February 2022

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.02422

zbMATH Keywords

weak-strong uniquenesscomplex fluidsparabolic regularityrelative energy

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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