On the Dynamic Shear Flow Problem for Viscoelastic Liquids

DOI10.1137/0518075zbMath0653.76006OpenAlexW2091600638MaRDI QIDQ3799712

Hans Engler

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1137/0518075

zbMATH Keywords

energy estimatesglobal existenceparabolic integro-differential equationsviscoelastic liquidsbounded one- dimensional spatial domainsdynamic simple shear flowInitial- boundary value problemsthird order nonlinear integro-differential equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Viscoelastic fluids (76A10) Abel, Borel and power series methods (40G10)

Related Items (3)

Generalized solutions for one dimensional flows of K-BKZ fluids ⋮ Global Existence Result for the Generalized Peterlin Viscoelastic Model ⋮ Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials

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