Rates of Convergence to Scaling Profiles in a Submonolayer Deposition Model and the Preservation of Memory of the Initial Condition

DOI10.1137/15M1035033zbMath1336.34023arXiv1508.03013MaRDI QIDQ2796501

João T. Pinto, Rafael Sasportes, Fernando Pestana Da Costa

Publication date: 29 March 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03013

zbMATH Keywords

coagulation processesdynamics of ODEsasymptotic evaluation of integralssubmonolayer deposition modelconvergence to scaling behavior

Mathematics Subject Classification ID

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)

Related Items (2)

On the convergence to critical scaling profiles in submonolayer deposition models ⋮ Point island dynamics under fixed rate deposition

Cites Work

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• Applications of centre manifold theory
• Long-time behaviour of point islands under fixed rate deposition
• Dynamics of a non-autonomous ODE system occurring in coagulation theory
• Rate of Convergence to Self-Similarity for Smoluchowski's Coagulation Equation with Constant Coefficients
• Rates of Convergence for Smoluchowski's Coagulation Equations

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