Existence result for degenerate cross-diffusion system with application to seawater intrusion
From MaRDI portal
Publication:5376683
DOI10.1051/cocv/2017058zbMath1410.35106arXiv1408.3925OpenAlexW2962689233MaRDI QIDQ5376683
Jana Alkhayal, Samar Issa, Mustapha Jazar, Régis Monneau
Publication date: 17 May 2019
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.3925
PDEs in connection with fluid mechanics (35Q35) Degenerate parabolic equations (35K65) Second-order parabolic systems (35K40)
Related Items (7)
A fitness-driven cross-diffusion system from population dynamics as a gradient flow ⋮ Bounded weak solutions to the thin film Muskat problem via an infinite family of Liapunov functionals ⋮ Bounded weak solutions to a class of degenerate cross-diffusion systems ⋮ Well posedness of general cross-diffusion systems ⋮ A nonlinear optimization method applied to the hydraulic conductivity identification in unconfined aquifers ⋮ Self-Similarity in a 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and stability of solutions for a strongly coupled system modelling thin fluid films
- A thin film approximation of the Muskat problem with gravity and capillary forces
- Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media
- Modelling and analysis of the Muskat problem for thin fluid layers
- Compact families of piecewise constant functions in \(L^p (0,T;B)\)
- Global solutions to a class of multi-species reaction-diffusion systems with cross-diffusions arising in population dynamics
- Compact sets in the space \(L^ p(0,T;B)\)
- Global existence of solutions of a strongly coupled quasilinear parabolic system with applications to electrochemistry.
- On the global existence of a cross-diffusion system
- Uniform boundedness and convergence of solutions to the systems with cross-diffusions dominated by self-diffusions
- Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model
- A chemotaxis model motivated by angiogenesis
- Existence of the global attractor for a strongly coupled parabolic system arising in population dynamics
- A gradient flow approach to a thin film approximation of the Muskat problem
- A note on Aubin-Lions-Dubinskiĭ lemmas
- Analysis of a parabolic cross-diffusion population model without self-diffusion
- Global Well-Posedness of a Conservative Relaxed Cross Diffusion System
- Derivation of Seawater Intrusion Models by Formal Asymptotics
- Non-negative global weak solutions for a degenerate parabolic system modelling thin films driven by capillarity
- Global existence of solutions for a strongly coupled quasilinear parabolic system
- Global solution to some quasilinear parabolic system in population dynamics
- Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion
- Global existence for a parabolic chemotaxis model with prevention of overcrowding
This page was built for publication: Existence result for degenerate cross-diffusion system with application to seawater intrusion
