A class of quasilinear parabolic equations with infinite delay and application to a problem of viscoelasticity

DOI10.1016/0022-0396(83)90053-0zbMath0471.45006OpenAlexW1983344850MaRDI QIDQ1157511

Michael Renardy

Publication date: 1983

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90053-0

zbMATH Keywords

quasilinear parabolic equationsfunctional differential equationsviscoelastic liquidsdifferential-delay equationslocal-time existence theorem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Viscoelastic fluids (76A10) Groups and semigroups of linear operators (47D03) General theory of functional-differential equations (34K05)

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The first boundary value problem for strongly elliptic differential- difference equations, Regularity of pullback attractors and attraction in \(H^1\) in arbitrarily large finite intervals for 2D Navier-Stokes equations with infinite delay, Attractors for a double time-delayed 2D-Navier-Stokes model, Difference methods for parabolic history value problems, Local existence theorems for the first and second initial-boundary value problems for a weakly non-Newtonian fluid, Recent advances in the continuum mechanics of viscoelastic liquids

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