A study of pattern forming systems with a fully nonlocal interaction kernel of possibly changing sign

DOI10.1016/j.physd.2018.12.008zbMath1451.35246OpenAlexW2910984446WikidataQ128626852 ScholiaQ128626852MaRDI QIDQ2217903

Jeremy Trageser, Xiaofeng Ren

Publication date: 12 January 2021

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2018.12.008

zbMATH Keywords

pattern formationjump discontinuitiesnonlocalFitzHugh-Nagumo systemcritical solutionssign-changing kernel

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Generalized solutions to partial differential equations (35D99) Pattern formations in context of PDEs (35B36)

Cites Work

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• The Evans-Krylov theorem for nonlocal fully nonlinear equations
• Nonlocal anisotropic dispersal with monostable nonlinearity
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• Reformulation of elasticity theory for discontinuities and long-range forces
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• Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities
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• A non-local anisotropic model for phase transitions: asymptotic behaviour of rescaled energies
• Young measures in a nonlocal phase transition problem
• On the Spectra of Three-Dimensional Lamellar Solutions of the Diblock Copolymer Problem

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