Strong solutions to the Richards equation in the unsaturated zone
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Publication:990860
DOI10.1016/j.jmaa.2010.05.066zbMath1200.35177OpenAlexW2048879789MaRDI QIDQ990860
Publication date: 1 September 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.05.066
a priori estimatesstrong solutionsfixed point argumentDirichlet boundary datadegenerate parabolic equationsthree space dimensionsglobal in time existence
Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)
Related Items (11)
Convergence in \(C([0,T;L^{2}(\Omega))\) of weak solutions to perturbed doubly degenerate parabolic equations] ⋮ A quadrature-based scheme for numerical solutions to Kirchhoff transformed Richards' equation ⋮ Weak solutions of coupled variable-density flows and heat transfer in porous media ⋮ A preliminary model for optimal control of moisture content in unsaturated soils ⋮ Nonlinear elliptic-parabolic problems ⋮ A mixed MoL-TMoL for the numerical solution of the 2D Richards' equation in layered soils ⋮ Solution of double nonlinear problems in porous media by a combined finite volume-finite element algorithm ⋮ Elliptic-parabolic equation and the corresponding problem with free boundary. I: Elliptic problem with parameter ⋮ Stochastic Collocation Methods for Nonlinear Parabolic Equations with Random Coefficients ⋮ On doubly nonlinear elliptic-parabolic systems arising in coupled transport phenomena in unsaturated porous media ⋮ On the well-posedness of a nonlinear fourth-order extension of Richards' equation
Cites Work
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