On a class of compressible viscoelastic rate-type fluids with stress-diffusion

DOI10.1088/1361-6544/ab3614zbMath1423.76032arXiv1810.00271OpenAlexW3104232305MaRDI QIDQ5240854

Eduard Feireisl, Miroslav Bulíček, Josef Málek

Publication date: 29 October 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.00271

zbMATH Keywords

non-Newtonian fluidviscoelastic fluidglobal-in-time existencestress diffusion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Weak solutions to PDEs (35D30)

Related Items (6)

The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates ⋮ Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion ⋮ On planar flows of viscoelastic fluids of Giesekus type ⋮ Quasistatic hypoplasticity at large strains Eulerian ⋮ On the Cauchy Problem for a Compressible Oldroyd-B Model Without Stress Diffusion ⋮ From quasi-incompressible to semi-compressible fluids

Cites Work

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• Ordinary differential equations, transport theory and Sobolev spaces
• Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
• A thermodynamic framework for rate-type fluid models
• PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion
• Singular limits in thermodynamics of viscous fluids

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