Existence of mild solutions and regularity criteria of weak solutions to the viscoelastic Navier-Stokes equation with damping

DOI10.4310/CMS.2020.v18.n1.a9zbMath1439.35377OpenAlexW3014462978MaRDI QIDQ1984709

Wenpei Wu, Zhong Tan, Jianfeng Zhou

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.4310/cms.2020.v18.n1.a9

zbMATH Keywords

self-similar solutionsasymptotic stabilitymild solutionsregularity criteriaviscoelastic Navier-Stokes equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Viscoelastic fluids (76A10) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Self-similar solutions to PDEs (35C06)

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