Multidimensional singular diffusion

DOI10.1007/BF00128761zbMath0795.35044OpenAlexW1963721346MaRDI QIDQ1321012

John R. King

Publication date: 8 May 1994

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00128761

zbMATH Keywords

nonlinear diffusion equationbackground concentrationfinite mass solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Diffusion (76R50) Degenerate parabolic equations (35K65)

Related Items (2)

Supercritical density relaxation as a new approach of droplet vaporization ⋮ Ray methods for free boundary problems

Cites Work

• Nonexistence of solutions for nonlinear heat equations of fast-diffusion type
• Hyperbolic phenomena in a strongly degenerate parabolic equation
• Integral results for nonlinear diffusion equations
• 'Instantaneous source' solutions to a singular nonlinear diffusion equation
• Positivity properties of viscosity solutions of a degenerate parabolic equation
• Sorption Limits with Increasing Diffusion Coefficients
• The Mesa Problem: Diffusion Patterns for u_t = ∇ · (u^m∇u) as m → +∞
• Asymptotic behavior of the nonlinear diffusion equation n t = (n−1n x)x
• Asymptotic results for nonlinear outdiffusion

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