Some remarks on large-time asymptotic of the Lifshitz-Slyozov equations.

DOI10.1023/A:1015404021853zbMath1067.82046OpenAlexW1556372033MaRDI QIDQ1609216

Thierry Goudon, Jean-François Collet, Alexis F. Vasseur

Publication date: 15 August 2002

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015404021853

zbMATH Keywords

phase transitionlarge-time behaviorentropy dissipation method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Boundary value problems for linear first-order PDEs (35F15)

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A Lifshitz-Slyozov type model for adipocyte size dynamics: limit from Becker-Döring system and numerical simulation ⋮ Long-time asymptotics for polymerization models ⋮ Fokker--Planck Approach of Ostwald Ripening: Simulation of a Modified Lifshitz--Slyozov--Wagner System with a Diffusive Correction ⋮ The initial-boundary value problem for the Lifshitz–Slyozov equation with non-smooth rates at the boundary ⋮ On the Relation between the Lifshitz--Slyozov and the Lifshitz--Slyozov--Wagner Models for Supersaturated Solutions ⋮ SIMULATIONS OF THE LIFSHITZ–SLYOZOV EQUATIONS: THE ROLE OF COAGULATION TERMS IN THE ASYMPTOTIC BEHAVIOR ⋮ Analysis and numerical simulation of a polymerization model with possible agglomeration process

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