Global weak solutions for a degenerate parabolic system modelling seawater intrusion in confined aquifers

DOI10.1080/00036811.2018.1544622zbMath1458.35218OpenAlexW2901059318MaRDI QIDQ5147280

Jana Alkhayal, Mustapha Jazar, Régis Monneau

Publication date: 3 February 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1544622

zbMATH Keywords

entropy estimatenon-negative solutionsstrongly coupled systemseawater intrusion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Initial value problems for second-order parabolic systems (35K45) Quasilinear parabolic equations (35K59)

Related Items (2)

The porous medium equation as a singular limit of the thin film Muskat problem ⋮ Convergence of a multi-point flux approximation finite volume scheme for a sharp-diffuse interfaces model for seawater intrusion

Cites Work

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• On the global existence for a degenerate elliptic-parabolic seawater intrusion problem
• Global solutions to a class of multi-species reaction-diffusion systems with cross-diffusions arising in population dynamics
• Compact sets in the space \(L^ p(0,T;B)\)
• Quasilinear elliptic-parabolic differential equations
• A gradient flow approach to a thin film approximation of the Muskat problem
• Analysis of a parabolic cross-diffusion population model without self-diffusion
• Derivation of Seawater Intrusion Models by Formal Asymptotics
• Non-negative global weak solutions for a degenerate parabolic system modelling thin films driven by capillarity
• Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion

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