On Incompressible Heat-Conducting Viscoelastic Rate-Type Fluids with Stress-Diffusion and Purely Spherical Elastic Response

DOI10.1137/20M1384452zbMath1475.35262arXiv2007.05749MaRDI QIDQ5003336

Vít Pruša, Miroslav Bulíček, Endre Süli, Josef Málek

Publication date: 21 July 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05749

zbMATH Keywords

weak solutionincompressible fluidnon-Newtonian fluidviscoelastic fluidglobal-in-time existencestress-diffusiontemperature-dependent material moduli

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

On planar flows of viscoelastic fluids of Giesekus type ⋮ A Cahn–Hilliard phase field model coupled to an Allen–Cahn model of viscoelasticity at large strains ⋮ Global existence and decay estimate of solution to rate type viscoelastic fluids

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