On a doubly nonlinear diffusion equation in hydrology

DOI10.1016/0362-546X(87)90050-2zbMath0654.35049MaRDI QIDQ3800436

C. J. Van Duijn, Danielle Hilhorst

Publication date: 1987

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

convergencemodelinggroundwaterhydrologydoubly nonlinearunique existence

Mathematics Subject Classification ID

Related Items (13)

Existence and uniqueness of radial solutions for fresh/salt water interface equation in a confined aquifer ⋮ Existence results for doubly nonlinear higher order parabolic equations on unbounded domains ⋮ Stabilization of solutions for a class of degenerate equations in divergence form in one space dimension ⋮ On a doubly degenerate equation arising in fresh-salt water flow with pumping ⋮ On the asymptotic behaviour of the solutions of a degenerate equation in hydrology ⋮ Regularity properties of a doubly degenerate equation in hydrology ⋮ A necessary and sufficient condition for finite speed of propagation in the theory of doubly nonlinear degenerate parabolic equations ⋮ On a degenerate parabolic equation with singular convection ⋮ Identification of point sources in an elliptic equation from interior measurements: application to a seawater intrusion problem ⋮ Homogeneous diffusion in \({\mathbb{R}}\) with power-like nonlinear diffusivity ⋮ Regularity of the free boundary in a doubly degenerate parabolic equation ⋮ The fresh-salt water interface in a semi-pervious aquifer ⋮ A priori gradient bounds for fully nonlinear parabolic equations and applications to porous medium models

Cites Work

• A generalized diffusion equation: Radial symmetries and comparison theorems
• Regularizing effects for \(u_ t\) + A phi(u) = 0 in \(L^ 1\).
• Étude d'une équation doublement non linéaire
• The application of dissipative operators to nonlinear diffusion equations
• On the Diffusion of Immiscible Fluids in Porous Media
• Some qualitative properties of solutions of a generalised diffusion equation
• Hölder Continuity of Solutions of Parabolic Equations
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