Numerical Approximation of the Lifshitz--Slyozov--Wagner Equation

DOI10.1137/S0036142902407599zbMath1053.35085MaRDI QIDQ4443602

Francis Filbet, Philippe Laurençot

Publication date: 18 January 2004

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergencefinite volume methodOstwald ripeningself-similar variablesnonlocal nonlinearitynonlinear transport equationLifshitz-Slyozov-Wagner model

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

Mesoscopic simulation of Ostwald ripening ⋮ NUMERICAL TREATMENT OF A NONLINEAR NONLOCAL TRANSPORT EQUATION MODELING CRYSTAL PRECIPITATION ⋮ A numerical scheme for the early steps of nucleation-aggregation models ⋮ Long-time asymptotics for polymerization models ⋮ 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

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