Convergence to equilibrium for the continuous coagulation-fragmentation equation

DOI10.1016/S0007-4497(02)00002-7zbMath1027.82030MaRDI QIDQ1408439

Stéphane Mischler, Philippe Laurençot

Publication date: 15 September 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

LaSalle invariance principleConvergence to equilibriumH-Theorem

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Asymptotics of solutions to integral equations (45M05) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45)

Related Items

The discrete diffusive coagulation-fragmentation equations with scattering ⋮ Solutions with peaks for a coagulation-fragmentation equation. II: Aggregation in peaks ⋮ Temporal oscillations in Becker–Döring equations with atomization ⋮ Exponential decay towards equilibrium for the inhomogeneous Aizenman-Bak model ⋮ Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance ⋮ Coagulation-fragmentation model for animal group-size statistics ⋮ On self-similarity and stationary problem for fragmentation and coagulation models. ⋮ A kinetic model for coagulation-fragmentation ⋮ Solutions with peaks for a coagulation–fragmentation equation. Part I: stability of the tails ⋮ Stationary solutions to coagulation-fragmentation equations ⋮ Liapunov functionals for Smoluchowski's coagulation equation and convergence to self-similarity

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