Stopping and merging problems for the porous media equation
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Publication:4854167
DOI10.1093/imamat/54.3.227zbMath0840.35050OpenAlexW2002094394MaRDI QIDQ4854167
Publication date: 5 December 1995
Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imamat/54.3.227
matched asymptotic expansionssimilarity solutionperturbation methodsporous media equationshort-time behaviorlubrication equation
Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)
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Early and late stages of \(K(m,n)\) compactons interaction ⋮ Merging traveling waves for the porous-Fisher's equation ⋮ Similarity solutions of the lubrication equation ⋮ A fifth order accurate geometric mesh finite difference method for general nonlinear two point boundary value problems ⋮ Determination of the interface position for some nonlinear diffusion problems ⋮ The Structure of Internal Layers for Unstable Nonlinear Diffusion Equations
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