A dynamic boundary value problem arising in the ecology of mangroves

DOI10.1016/j.nonrwa.2005.10.005zbMath1104.92061OpenAlexW4243052412MaRDI QIDQ867964

Julián Velasco, Gonzalo Galiano

Publication date: 19 February 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.10.005

zbMATH Keywords

existenceuniquenessdead coresystem of partial differential equationsdynamic boundary condition

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40)

Related Items (6)

On the existence of a solution for an adsorption dynamic model with the Langmuir isotherm ⋮ Sharp estimates for the global attractor of scalar reaction-diffusion equations with a Wentzell boundary condition ⋮ Competing through altering the environment: a cross-diffusion population model coupled to transport-Darcy flow equations ⋮ Finite element approximation of a surface-subsurface coupled problem arising in forest dynamics ⋮ Periodic solutions arising in ecology of mangroves ⋮ Existence of solutions and stability analysis for a Darcy flow with extraction

Cites Work

• Strongly continuous dual semigroups
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• \(L_p\)-theory for the Stefan problem
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• Parabolic problems with nonlinear dynamical boundary conditions and singular initial data
• The support shrinking properties for solutions of quasilinear parabolic equations with strong absorption terms
• The parabolic differential equations and the associated semigroups of transformation
• Quasilinear parabolic systems with dynamical boundary conditions
• Stabilization of solutions of nonlinear and degenerate evolution equations
• A diffusion-convection problem with drainage arising in the ecology of mangroves
• Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
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