Singularly Perturbed Hyperbolic Evolution Problems with Infinite Delay and an Application to Polymer Rheology

DOI10.1137/0515026zbMath0554.35084OpenAlexW2016261574MaRDI QIDQ3217004

Michael Renardy

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1137/0515026

zbMATH Keywords

Sobolev spacesexistencesemigroupsevolution problemspolymeric liquidssingularly perturbed quasilinear hyperbolic differential-delay equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Singular perturbations in context of PDEs (35B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Viscoelastic fluids (76A10) Second-order nonlinear hyperbolic equations (35L70) Groups and semigroups of linear operators (47D03) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (8)

On a class of quasilinear partial integrodifferential equations with singular kernels ⋮ A local existence and uniqueness theorem for a K-BKZ-fluid ⋮ Regularity of pullback attractors and attraction in \(H^1\) in arbitrarily large finite intervals for 2D Navier-Stokes equations with infinite delay ⋮ A class of quasilinear parabolic equations with infinite delay and application to a problem of viscoelasticity ⋮ Local existence theorems for the first and second initial-boundary value problems for a weakly non-Newtonian fluid ⋮ Singularly perturbed problems in partial differential equations: A survey ⋮ Hyperbolicity and change of type in the flow of viscoelastic fluids ⋮ Recent advances in the continuum mechanics of viscoelastic liquids

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