THE INHOMOGENEOUS DAM PROBLEM WITH LINEAR DARCY’S LAW AND DIRICHLET BOUNDARY CONDITIONS

DOI10.1142/S0218202596000432zbMath0869.76088OpenAlexW2034046594MaRDI QIDQ3125104

Abdeslem Lyaghfouri

Publication date: 4 September 1997

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202596000432

zbMATH Keywords

uniquenessregularity of free boundarygeneral permeability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05)

Related Items (12)

A numerical study of filtration problem in inhomogeneous dam with discontinuous permeability. ⋮ Unnamed Item ⋮ An optimal shape design formulation for inhomogeneous dam problems ⋮ Lipschitz Continuity and Explicit Form of Solution in a Class of Free Boundary Problem with Neumann Boundary Condition ⋮ Lipschitz continuity for elliptic free boundary problems with Dini mean oscillation coefficients ⋮ Unnamed Item ⋮ Uniqueness of solution of the unsteady filtration problem in heterogeneous porous media ⋮ On the continuity of the free boundary in problems of type \(\operatorname{div}(a(x)\nabla u)=-(h(x)\chi(u))_{x_1}\) ⋮ On the Lipschitz Continuity of the Solutions of a Class of Elliptic Free Boundary Problems ⋮ A note on Lipschitz continuity of the solutions of a class of elliptic free boundary problems ⋮ A note on finite deformation consolidation models. ⋮ REGULARITY RESULTS FOR A QUASILINEAR FREE BOUNDARY PROBLEM

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