On nonlinear problems of parabolic type with implicit constitutive equations involving flux

DOI10.1142/S0218202521500457zbMath1492.35152arXiv2009.06917MaRDI QIDQ5024427

Erika Maringová, Miroslav Bulíček, Josef Málek

Publication date: 31 January 2022

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06917

zbMATH Keywords

maximal monotone graphimplicit constitutive theoryexistence and uniqueness of weak solutionsMaxwell-Stefan diffusion equationssecond-order quasilinear parabolic systems in divergence form

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (5)

A semismooth Newton method for implicitly constituted non-Newtonian fluids and its application to the numerical approximation of Bingham flow ⋮ Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks ⋮ On unsteady internal flows of incompressible fluids characterized by implicit constitutive equations in the bulk and on the boundary ⋮ On evolutionary problems with a-priori bounded gradients ⋮ On the dynamic slip boundary condition for Navier–Stokes-like problems

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