Weak-strong uniqueness and energy-variational solutions for a class of viscoelastoplastic fluid models

DOI10.1515/anona-2022-0274zbMath1504.35313arXiv2112.07480OpenAlexW4300860785MaRDI QIDQ2081372

Yanyan Li

Publication date: 12 October 2022

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.07480

zbMATH Keywords

viscoelastic fluidsviscoplasticityweak-strong uniquenessnonsmooth potentialrelative energy inequalityvanishing stress diffusion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

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