Asymptotic behaviour of solutions to the diffusive fragmentation-coagulation system

DOI10.1016/S0167-2789(97)00178-4zbMath0960.82017OpenAlexW2062705313MaRDI QIDQ1963421

Frederic Poupaud, Jean-François Collet

Publication date: 1 February 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00178-4

zbMATH Keywords

attractorsparabolic partial differential equationsphase transitionsH-theoremfragmentation-coagulation equations

Mathematics Subject Classification ID

Statistical mechanics of liquids (82D15) Partial differential equations of mathematical physics and other areas of application (35Q99) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (8)

The discrete diffusive coagulation-fragmentation equations with scattering ⋮ Convergence to equilibrium for the continuous coagulation-fragmentation equation ⋮ Exponential decay towards equilibrium for the inhomogeneous Aizenman-Bak model ⋮ Moment bounds for the Smoluchowski equation and their consequences ⋮ Discrete coagulation-fragmentation system with transport and diffusion ⋮ Fast Reaction Limit of the Discrete Diffusive Coagulation–Fragmentation Equation ⋮ The Becker-Döring model with diffusion: II. Long time behavior ⋮ Fragmentation–diffusion model. Existence of solutions and their asymptotic behaviour

Cites Work

• Unnamed Item
• Unnamed Item
• The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
• Coagulation-diffusion systems: Derivation and existence of solutions for the diffuse interface structure equations
• The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
• Convergence to equilibrium in a system of reacting polymers
• Existence of solutions for the discrete coagulation-fragmentation model with diffusion
• Metastable states for the Becker-Döring cluster equations
• Asymptotic behavior of solutions to the coagulation-fragmentation equations. II: Weak fragmentation
• Existence of solutions to coagulation-fragmentation systems with diffusion
• Attractors of partial differential evolution equations and estimates of their dimension
• Trend to equilibrium in the Becker-Doring cluster equations
• Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data
• Asymptotic behaviour of solutions to the coagulation–fragmentation equations. I. The strong fragmentation case

This page was built for publication: Asymptotic behaviour of solutions to the diffusive fragmentation-coagulation system