Kelvin-Voight equation with \(p\)-Laplacian and damping term: existence, uniqueness and blow-up

DOI10.1016/j.jmaa.2016.09.023zbMath1354.35086OpenAlexW2520747508MaRDI QIDQ333863

Mohammad Hasan, M. Dambrine

Publication date: 31 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.09.023

zbMATH Keywords

weak solutionblow-up\(p\)-LaplacianKelvin-Voight

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (14)

An inverse problem for the pseudo-parabolic equation with p-Laplacian ⋮ Kelvin-Voigt equations perturbed by anisotropic relaxation, diffusion and damping ⋮ Feedback control problem for modified Kelvin-Voigt model ⋮ Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping ⋮ Numerical solutions of the Allen-Cahn equation with the \(p\)-Laplacian ⋮ Generalized Kelvin-Voigt equations with \(p\)-Laplacian and source/absorption terms ⋮ An inverse source problem for a nonlinear pseudoparabolic equation with p-Laplacian diffusion and damping term ⋮ Inverse problem for integro-differential Kelvin-Voigt equations ⋮ An inverse problem for Kelvin–Voigt equations perturbed by isotropic diffusion and damping ⋮ Global existence and blow-up for wave equation of \(p\)-Laplacian type ⋮ An initial boundary value problem for a pseudoparabolic equation with a nonlinear boundary condition ⋮ The classical Kelvin–Voigt problem for incompressible fluids with unknown non-constant density: existence, uniqueness and regularity ⋮ Kelvin–Voigt equations with anisotropic diffusion, relaxation and damping: Blow-up and large time behavior ⋮ An inverse problem for generalized Kelvin–Voigt equation with p-Laplacian and damping term

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