Filtration with absorption: Necessary and sufficient condition for the propagation of perturbations to have finite velocity

DOI10.1016/0022-247X(82)90074-9zbMath0512.35048MaRDI QIDQ1839366

Robert Kersner

Publication date: 1982

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

zbMATH Keywords

filtrationCauchy problemabsorptionpropagation of perturbations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Perturbations in context of PDEs (35B20) Initial value problems for second-order parabolic equations (35K15)

Related Items (8)

Existence, uniqueness and properties of the solutions of a degenerate parabolic equation with diffusion-advection-absorption ⋮ Finite extinction time for solutions of nonlinear parabolic equations ⋮ Asymptotic spherical symmetry of the free boundary in degenerate diffusion equations ⋮ The occurrence of interfaces in nonlinear diffusion-advection processes ⋮ The cauchy problem for a quasilinear degenerate parabolic system ⋮ Finite velocity of the propagation of perturbations for general porous medium equations with strong degeneracy ⋮ Some properties of solutions for a system of dynamics of biological groups ⋮ Propagation profile of support for evolution \(p\)-Laplacian with convection in half space

Cites Work

• A necessary and sufficient condition for the existence of an interface in flows through porous media
• Degenerate parabolic equations with general nonlinearities
• Unnamed Item

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