Singular limit of solutions of the porous medium equation with absorption

DOI10.1090/S0002-9947-98-02030-3zbMath0927.35009OpenAlexW1510726810MaRDI QIDQ4211165

Kin Ming Hui

Publication date: 10 September 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02030-3

zbMATH Keywords

singular limitporous medium equation with absorption

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Singular limit of the generalized Burgers equation with absorption

Cites Work

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• On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
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• A singular limit problem for the porous medium equation
• Existence and uniqueness of solutions of diffusion-absorption equations with general data
• Asymptotic behaviour of solutions of hyperbolic conservation laws u^t + (u^m)_x = 0 as m → ∞ with inconsistent initial values
• The Cauchy Problem for u t = Δu m When 0 < m < 1
• Asymptotic behaviour of solutions of ut = Δum − up AS p → ∞
• Continuity of solutions of a singular parabolic equation
• Singular limit of solutions of the generalized p-Laplacian equation
• Singular Limit of Solutions of u t = Δu m - A ⋅∇(u q /q) as q →∞

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