SIMULATIONS OF THE LIFSHITZ–SLYOZOV EQUATIONS: THE ROLE OF COAGULATION TERMS IN THE ASYMPTOTIC BEHAVIOR

DOI10.1142/S0218202513500061zbMath1267.82076OpenAlexW2016985482MaRDI QIDQ2836495

Frédéric Lagoutière, Thierry Goudon, Leon Matar Tine

Publication date: 3 July 2013

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202513500061

zbMATH Keywords

large time asymptotic behaviorLifshitz-Slyozov equationanti-dissipative finite volume algorithmcoagulation terms

Mathematics Subject Classification ID

Related Items (5)

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 ⋮ The influence of Brownian coagulation on the particle-size distribution function in supercooled melts and supersaturated solutions ⋮ Analysis and numerical simulation of a polymerization model with possible agglomeration process

Cites Work

• On a diffusive version of the Lifschitz-Slyozov-Wagner equation
• A scaling limit of the Becker-Döring equations in the regime of small excess density
• Self-similar solutions for the LSW model with encounters
• The Becker-Döring equations at large times and their connection with the LSW theory of coarsening
• Non-self-similar behavior in the LSW theory of Ostwald ripening
• From the Becker-Döring to the Lifshitz-Slyozov-Wagner equations
• Some remarks on large-time asymptotic of the Lifshitz-Slyozov equations.
• A modified version of the Lifshitz-Slyozov model
• Asymptotic behaviour of solutions to a simplified Lifshitz-Slyozov equation
• Efficient implementation of weighted ENO schemes
• On screening induced fluctuations in Ostwald ripening
• On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
• Numerical Approximation of the Lifshitz--Slyozov--Wagner Equation
• On solutions of the Lifshitz-Slyozov model
• Numerical Simulation of the Smoluchowski Coagulation Equation
• Well-posedness for measure transport in a family of nonlocal domain coarsening models
• A global existence theorem for the general coagulation–fragmentation equation with unbounded kernels
• The Lifshitz--Slyozov--Wagner Equation with Conserved Total Volume
• THE LIFSHITZ–SLYOZOV EQUATION WITH ENCOUNTERS
• Existence, Uniqueness and Mass Conservation for the Coagulation-Fragmentation Equation
• On the Initial-Value Problem in the Lifshitz--Slyozov--Wagner Theory of Ostwald Ripening
• Lifshitz-Slyozov equations: The model with encounters
• On the convergence to the smooth self-similar solution in the LSW model
• The LSW model for domain coarsening: Asymptotic behavior for conserved total mass.
• Contact discontinuity capturing schemes for linear advection and compressible gas dynamics

This page was built for publication: SIMULATIONS OF THE LIFSHITZ–SLYOZOV EQUATIONS: THE ROLE OF COAGULATION TERMS IN THE ASYMPTOTIC BEHAVIOR