On the convergence to critical scaling profiles in submonolayer deposition models
DOI10.3934/krm.2018053zbMath1406.34039arXiv1707.02529OpenAlexW2963691180MaRDI QIDQ1715980
Rafael Sasportes, João T. Pinto, Fernando Pestana Da Costa
Publication date: 29 January 2019
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.02529
coagulation processesdynamics of ODEsasymptotic evaluation of integralsconvergence to scaling behavioursubmonolayer deposition model
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Growth and boundedness of solutions to ordinary differential equations (34C11) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Invariant manifolds for ordinary differential equations (34C45) Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary lattice differential equations (34A33)
Cites Work
- Unnamed Item
- Liapunov functionals for Smoluchowski's coagulation equation and convergence to self-similarity
- An introduction to mathematical models of coagulation--fragmentation processes: a discrete deterministic mean-field approach
- The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
- On the rate of convergence to equilibrium in the Becker--Döring equations.
- On the evolution of large clusters in the Becker-Döring model
- From the Becker-Döring to the Lifshitz-Slyozov-Wagner equations
- Long-time behaviour of point islands under fixed rate deposition
- Trend to equilibrium for the Becker-Döring equations : an analogue of Cercignani's conjecture
- Exponential convergence to equilibrium for subcritical solutions of the Becker-Döring equations
- Rates of Convergence to Scaling Profiles in a Submonolayer Deposition Model and the Preservation of Memory of the Initial Condition
- Algebraic Decay to Equilibrium for the Becker--Döring Equations
- Rate of Convergence to Self-Similarity for Smoluchowski's Coagulation Equation with Constant Coefficients
- Rates of Convergence for Smoluchowski's Coagulation Equations
- Approach to self‐similarity in Smoluchowski's coagulation equations
This page was built for publication: On the convergence to critical scaling profiles in submonolayer deposition models