A local existence and uniqueness theorem for a K-BKZ-fluid

DOI10.1007/BF00250683zbMath0603.76009OpenAlexW2169677492MaRDI QIDQ1082925

Michael Renardy

Publication date: 1985

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250683

zbMATH Keywords

uniquenesslocal existenceinitial value problemquasilinear hyperbolic equationsconstitutive lawKato's theoryK-BKZ fluidthree-dimensional motion

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (5)

On a class of quasilinear partial integrodifferential equations with singular kernels ⋮ An existence theorem for the Dirichlet problem in the elastodynamics of incompressible materials ⋮ On a kinetic formulation of elasto-viscoplasticity ⋮ Viscoelastic flows of Maxwell fluids with conservation laws ⋮ Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials

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