The weak solvability of an inhomogeneous dynamic problem for a viscoelastic continuum with memory

DOI10.1134/S0016266323010082zbMath1528.76002OpenAlexW4386451662MaRDI QIDQ6096017

Vladimir Orlov, Viktor G. Zvyagin

Publication date: 11 September 2023

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266323010082

zbMATH Keywords

weak solutioninitial-boundary value problemwell-posednessa priori estimateGalerkin approximationSchauder estimatefixed-point argumentregular Lagrangian trajectory

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10)

Cites Work

• Ordinary differential equations, transport theory and Sobolev spaces
• Solvability of one non-Newtonian fluid dynamics model with memory
• On one problem of viscoelastic fluid dynamics with memory on an infinite time interval
• Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics
• Estimates and regularity results for the DiPerna-Lions flow
• Weak solvability of fractional Voigt model of viscoelasticity
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