A sequence of integro-differential equations approximating a viscous porous medium equation

DOI10.4171/ZAA/1004zbMath0986.76088WikidataQ115211793 ScholiaQ115211793MaRDI QIDQ5938151

Karl Oelschläger

Publication date: 2 June 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

integro-differential equationsasymptotic expansionuniform convergenceregularity conditionsviscous porous medium equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Flows in porous media; filtration; seepage (76S05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Related Items (3)

Interacting diffusions approximating the porous medium equation and propagation of chaos ⋮ Many-particle limit for a system of interaction equations driven by Newtonian potentials ⋮ Porous medium equation and cross-diffusion systems as limit of nonlocal interaction

Cites Work

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• On the McKean-Vlasov Limit for Interacting Diffusions
• Gradient estimates for variable coefficient parabolic equations and singular perturbation problems
• Simulation of the Solution of a Viscous Porous Medium Equation by a Particle Method
• THE DESCRIPTION OF MANY-PARTICLE SYSTEMS BY THE EQUATIONS FOR A VISCOUS, COMPRESSIBLE, BAROTROPIC FLUID

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