Fragmentation–diffusion model. Existence of solutions and their asymptotic behaviour
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Publication:4212397
DOI10.1017/S0308210500021764zbMath0912.35031MaRDI QIDQ4212397
Dariusz Wrzosek, Philippe Laurençot
Publication date: 25 May 1999
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
well-posednessasymptotic convergence to spatially homogeneous equilibrium statesmass-preserving solutions
Related Items (6)
The discrete diffusive coagulation-fragmentation equations with scattering ⋮ Implementation of a fragmentation--coagulation--scattering model for the dynamics of stirred liquid--liquid dispersions ⋮ CONSERVATIVE AND SHATTERING SOLUTIONS FOR SOME CLASSES OF FRAGMENTATION MODELS ⋮ Global existence for the discrete diffusive coagulation-fragmentation equations in \(L^1\). ⋮ CONVERGENCE PROPERTIES OF A STOCHASTIC MODEL FOR COAGULATION-FRAGMENTATION PROCESSES WITH DIFFUSION ⋮ Mass-conserving solutions to the discrete coagulation-fragmentation model with diffusion
Cites Work
- The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
- Dual semigroups and second order linear elliptic boundary value problems
- Coagulation-diffusion systems: Derivation and existence of solutions for the diffuse interface structure equations
- Semigroups of linear operators and applications to partial differential equations
- Asymptotic behavior of solutions to the coagulation-fragmentation equations. II: Weak fragmentation
- Asymptotic behaviour of solutions to the diffusive fragmentation-coagulation system
- Existence of solutions to coagulation-fragmentation systems with diffusion
- Asymptotic behaviour of solutions to the coagulation–fragmentation equations. I. The strong fragmentation case
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