A Quasilinear Parabolic Equation Describing the Elongation of Thin Filaments of Polymeric Liquids

DOI10.1137/0513016zbMath0489.35049OpenAlexW2010435965MaRDI QIDQ3950936

Michael Renardy

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1137/0513016

zbMATH Keywords

Neumann boundary conditionquasilinear parabolicnonlinear partial integrodifferential equationrubberlike liquidelongation of thin filaments of polymeric liquids

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Integro-partial differential equations (45K05) Viscoelastic fluids (76A10) Nonlinear differential equations in abstract spaces (34G20)

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

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