Liapunov functionals for Smoluchowski's coagulation equation and convergence to self-similarity

DOI10.1007/s00605-005-0308-1zbMath1089.45003OpenAlexW2084601204MaRDI QIDQ814800

Philippe Laurençot, Stéphane Mischler

Publication date: 7 February 2006

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-005-0308-1

zbMATH Keywords

convergenceself-similar solutionLyapunov functionalSmoluchowski's coagulation equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Asymptotics of solutions to integral equations (45M05)

Related Items

Self-similar solutions with fat tails for Smoluchowski's coagulation equation with locally bounded kernels, On the convergence to critical scaling profiles in submonolayer deposition models, Exponential decay towards equilibrium for the inhomogeneous Aizenman-Bak model, Uniqueness of self-similar solutions to Smoluchowski's coagulation equations for kernels that are close to constant, Well-posedness of Smoluchowski's coagulation equation for a class of homogeneous kernels, Existence of self-similar solutions to Smoluchowski's coagulation equation

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