Long-term Behavior and Numerical Analysis of a Nonlocal Evolution Equation with Kac Potential

DOI10.1137/130949956zbMath1341.82049OpenAlexW1971868242MaRDI QIDQ5253457

Sarah Duffin, Jianlong Han, Seth Armstrong, Chun-Lei Zhang

Publication date: 26 May 2015

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

Full work available at URL: https://doi.org/10.1137/130949956

zbMATH Keywords

finite difference schemelong-term behaviorlong-range interactionnonlocal evolution equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Maximum principles in context of PDEs (35B50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Integro-partial differential equations (35R09)

Cites Work

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• Stability of the interface in a model of phase separation
• Glauber evolution with Kac potentials: II. Fluctuations
• Glauber evolution with Kac potentials: III. Spinodal decomposition
• Traveling Waves of Bistable Dynamics on a Lattice

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