Eigenvalues of the Barenblatt-Pattle similarity solution in nonlinear diffusion

DOI10.1098/rspa.1982.0122zbMath0487.35008OpenAlexW2160578228MaRDI QIDQ3948005

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Publication date: 1982

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1982.0122

zbMATH Keywords

initial data with compact supportBarenblatt-Pattle similarity solutionthe nonlinear diffusion equationtwo point eigenvalue problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Series solutions to PDEs (35C10)

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On a general link between anomalous diffusion and nonextensivity ⋮ Stability analysis of gravity currents of a power-law fluid in a porous medium ⋮ Buoyancy segregation suppresses viscous fingering in horizontal displacements in a porous layer ⋮ The relaxation time for viscous and porous gravity currents following a change in flux ⋮ Stability of lubricated viscous gravity currents. Part 2. Global analysis and stabilisation by buoyancy forces ⋮ Viscous banding instabilities: non-porous viscous fingering ⋮ Self-similar gravity currents in porous media: Linear stability of the Barenblatt--Pattle solution revisited

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