Three-dimensional solutions of nonlinear degenerate diffusion-convection processes

DOI10.1017/S0956792500000462zbMath0751.35020MaRDI QIDQ3978075

Gérard Gagneux, Monique Madaune-Tort

Publication date: 25 June 1992

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

zbMATH Keywords

comparison principleexistence and behavior of a break-through timehyperbolic behavior of a free boundarymotion of two immiscible incompressible fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

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Cites Work

• Un résultat de perturbations singulieres pour des inéquations variationnelles dégénéréeés
• On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
• On the behaviour and cases of nonexistence of the free boundary in a semibounded porous medium
• BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF EQUATIONS OF TWO-PHASE POROUS FLOW TYPE; STATEMENT OF THE PROBLEMS, QUESTIONS OF SOLVABILITY, JUSTIFICATION OF APPROXIMATE METHODS
• Un theoreme d'unicite pour des inequations variationnelles paraboliques degenerees
• CAUCHY'S PROBLEM FOR DEGENERATE SECOND ORDER QUASILINEAR PARABOLIC EQUATIONS