Wavefronts for discrete two-dimensional nonlinear diffusion equations

DOI10.1016/S0893-9659(01)00152-5zbMath1022.35077MaRDI QIDQ1861781

Ana Carpio

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

traveling wavesdislocationsdiscrete nonlinear diffusion equationsdiscrete wavefrontsexistence of steady wavefronts

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Partial functional-differential equations (35R10) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

• Multi-dimensional travelling-wave solutions of a flame propagation model
• Existence of traveling wavefront solutions for the discrete Nagumo equation
• Multidimensional nonlinear diffusion arising in population genetics
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Waves in Excitable Media
• Unnamed Item

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