On dissipative solutions to a system arising in viscoelasticity

DOI10.1007/s00021-019-0459-9zbMath1427.35205arXiv1903.03635OpenAlexW2921279484MaRDI QIDQ2007769

Martin Kalousek

Publication date: 22 November 2019

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03635

zbMATH Keywords

existenceweak-strong uniquenessdissipative solutionincompressible vicoelastic system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Navier-Stokes equations (35Q30) PDEs in connection with mechanics of deformable solids (35Q74) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Strong solutions to PDEs (35D35)

Related Items (4)

Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids ⋮ Dissipative solutions to a system for the flow of magnetoviscoelastic materials ⋮ Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity ⋮ Weak-strong uniqueness of incompressible magneto-viscoelastic flows

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