Rigorous Derivation of a Nonlinear Diffusion Equation as Fast-Reaction Limit of a Continuous Coagulation-Fragmentation Model with Diffusion
DOI10.1080/03605300903225396zbMath1184.35020OpenAlexW2131585228MaRDI QIDQ3653277
Klemens Fellner, Laurent Desvillettes, José Antonio Carrillo
Publication date: 22 December 2009
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: http://ddd.uab.cat/record/54907
Integro-partial differential equations (45K05) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Integro-partial differential equations (35R09)
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Cites Work
- Unnamed Item
- Exponential decay towards equilibrium for the inhomogeneous Aizenman-Bak model
- Fast-reaction limit for the inhomogeneous Aizenman-Bak model
- Convergence of an entropic semi-discretization for nonlinear Fokker-Planck equations in \(\mathbb R^d\)
- Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds
- Entropy methods for reaction-diffusion systems
- Convergence to equilibrium in a system of reacting polymers
- On the spatially homogeneous Boltzmann equation
- On the rate of convergence to equilibrium in the Becker--Döring equations.
- A reaction-diffusion system with fast reversible reaction.
- The continuous coagulation-fragmentation equations with diffusion
- Fast Reaction Limit of the Discrete Diffusive Coagulation–Fragmentation Equation
- Blowup in Reaction-Diffusion Systems with Dissipation of Mass
- On a quasilinear degenerate system arising in semiconductors theory. I: Existence and uniqueness of solutions
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