Self-similar solutions for the LSW model with encounters

DOI10.1016/j.jde.2009.07.021zbMath1182.45004arXiv0803.3521OpenAlexW2018395445MaRDI QIDQ1032877

Juan J. L. Velazquez, Michael Herrmann, Barbara Niethammer

Publication date: 5 November 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3521

zbMATH Keywords

self-similar solutionsstationary solutionskinetics of phase transitionscoarsening with encountersLSW model (Lifshitz, Slyozov and Wagner)

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Interacting particle systems in time-dependent statistical mechanics (82C22) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (4)

Fast fusion in a two-dimensional coagulation model ⋮ The influence of Brownian coagulation on the particle-size distribution function in supercooled melts and 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

Cites Work

• Derivation of the LSW-theory for Ostwald ripening by homogenization methods
• Non-self-similar behavior in the LSW theory of Ostwald ripening
• The Becker-Döring equations and the Lifshitz-Slyozov theory of coarsening
• Asymptotic behaviour of solutions to a simplified Lifshitz-Slyozov equation
• Self-similar solutions with fat tails for a coagulation equation with nonlocal drift
• On screening induced fluctuations in Ostwald ripening
• Effective Theories for Ostwald Ripening
• An Asymptotic Solution of Aggregation Dynamics
• THE LIFSHITZ–SLYOZOV EQUATION WITH ENCOUNTERS
• Approach to self‐similarity in Smoluchowski's coagulation equations
• On the convergence to the smooth self-similar solution in the LSW model

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