Fast reaction limit of a volume–surface reaction–diffusion system towards a heat equation with dynamical boundary conditions
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Publication:2826329
DOI10.3233/ASY-161371zbMath1348.35280OpenAlexW2464673214MaRDI QIDQ2826329
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Publication date: 14 October 2016
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3233/asy-161371
entropy methoddynamical boundary conditionfast reaction limitenergy equation methodvolume-surface reaction-diffusion systems
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37)
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Cites Work
- Passing from bulk to bulk-surface evolution in the Allen-Cahn equation
- Goldstein-Wentzell boundary conditions: recent results with Jerry and Gisèle Goldstein
- The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction
- Vector-valued heat equations and networks with coupled dynamic boundary conditions
- Heat equation with dynamical boundary conditions of reactive-diffusive type
- Strongly continuous dual semigroups
- The effective boundary conditions and their lifespan of the logistic diffusion equation on a coated body
- Continuous dependence on the boundary conditions for the Wentzell Laplacian
- Instantaneous limits of reversible chemical reactions in presence of macroscopic convection.
- A reaction-diffusion system with fast reversible reaction.
- Global attractors for damped semilinear wave equations.
- The heat equation with generalized Wentzell boundary condition.
- Effective boundary conditions resulting from anisotropic and optimally aligned coatings: the two dimensional case
- The influence of a line with fast diffusion on Fisher-KPP propagation
- Derivation and physical interpretation of general boundary conditions
- Diffusion on a curved surface coupled to diffusion in the volume: application to cell biology
- Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations
- Fisher–KPP propagation in the presence of a line: further effects
- The effect of a line with nonlocal diffusion on Fisher-KPP propagation
- Finite element analysis for a coupled bulk-surface partial differential equation
