Interfaces in multidimensional diffusion equations with absorption terms

DOI10.1016/S0362-546X(03)00034-8zbMath1031.35082WikidataQ59227417 ScholiaQ59227417MaRDI QIDQ1870901

Yanyan Li

Publication date: 14 May 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Lagrangian coordinatesregularity of solutions and interfaces

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65)

Related Items (9)

Numerical study of the porous medium equation with absorption, variable exponents of nonlinearity and free boundary ⋮ Numerical artifacts in the generalized porous medium equation: why harmonic averaging itself is not to blame ⋮ Numerical methods for porous medium equation by an energetic variational approach ⋮ Anisotropic mesh adaptation for finite element solution of anisotropic porous medium equation ⋮ Discrete solutions for the porous medium equation with absorption and variable exponents ⋮ Existence and multiplicity of segregated solutions to a cell-growth contact inhibition problem ⋮ A study on moving mesh finite element solution of the porous medium equation ⋮ Smoothing effect of absorption for degenerate parabolic equations in 1-d ⋮ Lagrangian approach to the study of level sets: Application to a free boundary problem in climatology

Cites Work

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• Evolution equations and Lagrangian coordinates
• Behaviour of interfaces in a diffusion-absorption equation with critical exponents
• The regularity of solutions of reaction-diffusion equations via Lagrangian coordinates
• Regularity of interfaces in diffusion processes under the influence of strong absorption
• Analyticity of the Interface of the Porous Media Equation After the Waiting Time
• Regularity of the free boundary for the porous medium equation
• SECOND-ORDER INTERFACE EQUATIONS FOR NONLINEAR DIFFUSION WITH VERY STRONG ABSORPTION
• Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics

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