Parabolic Free Boundary Problems Arising in Porous Medium Combustion

DOI10.1093/imamat/39.3.241zbMath0681.35044OpenAlexW2165619720MaRDI QIDQ4730166

Andrew M. Stuart, John Norbury

Publication date: 1987

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3b1035619c94e5f55b484a29f32c42f5f6ee5d93

zbMATH Keywords

solution branchparabolic free boundary problemsreaction-diffusion typeglobal stability results

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs with low regular coefficients and/or low regular data (35R05) Theoretical approximation in context of PDEs (35A35) Free boundary problems for PDEs (35R35)

Related Items (10)

The semilinear heat equation with a Heaviside source term ⋮ Some existence, uniqueness and nonuniqueness theorems for solutions of parabolic equations with discontinuous nonlinearities ⋮ A Comparison Theorem for a Nonlinear system Arising in Porous Medium Combustion ⋮ A combined variational–monotone iterative method for elliptic boundary value problems with discontinuous nonlinearity ⋮ An existence result for elliptic differential inclusions with discontinuous nonlinearity ⋮ Classification and evolution of bifurcation curves for a porous-medium combustion problem with large activation energy ⋮ Existence of the free boundary in a multi-dimensional combustion problem ⋮ Corrections to: ``Singular limits in free boundary problems ⋮ Instabilities in a combustion model with two free interfaces ⋮ Singular limits in free boundary problems

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