On a priori estimates of weak solutions of one nonhomogeneous problem of dynamics of viscoelastic medium with memory

DOI10.3103/S1066369X21050066zbMath1475.35299OpenAlexW3167693806MaRDI QIDQ2041612

Viktor G. Zvyagin, Vladimir Orlov

Publication date: 23 July 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21050066

zbMATH Keywords

weak solutiona priori estimatesviscoelastic continuous mediumregular Lagrangean flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30)

Cites Work

• Transport equation and Cauchy problem for BV vector fields
• Ordinary differential equations, transport theory and Sobolev spaces
• A non-homogeneous regularized problem of dynamics of viscoelastic continuous medium
• On weak solutions of a regularized model of a viscoelastic fluid
• On the weak solvability of the problem of viscoelasticity with memory
• Estimates and regularity results for the DiPerna-Lions flow
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On a priori estimates of weak solutions of one nonhomogeneous problem of dynamics of viscoelastic medium with memory