Existence of global weak solutions for a class of quasilinear hyperbolic integro-differential equations describing visco-elastic materials

DOI10.1007/BF01459784zbMath0804.35131MaRDI QIDQ1337553

Hamid Bellout, Jindřich Nečas

Publication date: 9 November 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165209

zbMATH Keywords

existence of a global weak solutionGalerkin-Fadeo method

Mathematics Subject Classification ID

Related Items (3)

Motion of nonlinear visco-elastic fluid ⋮ Cauchy problem for quasi-linear wave equations with nonlinear damping and source terms ⋮ Cauchy problem for quasi-linear wave equations with viscous damping

Cites Work

• Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials
• On a class of quasilinear partial integrodifferential equations with singular kernels
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• On Besov spaces and Sobolev spaces of generalized functions defined on a general region
• On a special Schauder basis for the Sobolev spaces \(W_ 0^{1,p}(\Omega)\)
• On thermodynamics, strain impulses, and viscoelasticity
• The influence of elasticity on analysis: Modern developments
• On wave propagation in linear viscoelasticity
• A Model Equation for Viscoelasticity with a Strongly Singular Kernel
• Some remarks on the propagation and non-propagation of discontinuities in linearly viscoelastic liquids
• Existence of Global Weak Solutions to the Dynamical Problem for a Three-Dimensional Elastic Body with Singular Memory
• An Existence Result on a Volterra Equation in a Banach Space
• Construction of an orthonormal basis in $C^{m}(I^{d})$ and $W^{m}_{p}(I^{d})$
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
• Commutativite de deux foncteurs d'interpolation et applications
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