Multi-dimensional stability of waves travelling through rectangular lattices in rational directions
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Publication:3450284
DOI10.1090/S0002-9947-2015-06392-2zbMath1377.34097arXiv1209.6416OpenAlexW2126466686MaRDI QIDQ3450284
Aaron Hoffman, Erik S. Van Vleck, Hermen Jan Hupkes
Publication date: 3 November 2015
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.6416
travelling wavesGreen's functionsnonlinear stabilityFourier synthesismultidimensional lattice differential equations
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Boundary value problems for functional-differential equations (34K10) Traveling wave solutions (35C07) Lattice functional-differential equations (34K31)
Related Items (13)
Curvature-driven front propagation through planar lattices in oblique directions ⋮ Travelling waves for complete discretizations of reaction diffusion systems ⋮ Large time behavior of the solutions with spreading fronts in the Allen-Cahn equations on \(\mathbb{R}^n\) ⋮ Stability of Traveling Waves for Reaction-Diffusion Equations with Multiplicative Noise ⋮ Traveling Waves and Pattern Formation for Spatially Discrete Bistable Reaction-Diffusion Equations ⋮ Entire solutions for bistable lattice differential equations with obstacles ⋮ Dynamics of curved travelling fronts for the discrete Allen-Cahn equation on a two-dimensional lattice ⋮ Stable periodic solutions to lambda-omega lattice dynamical systems ⋮ Stability of Traveling Waves for Systems of Reaction-Diffusion Equations with Multiplicative Noise ⋮ Ultracontractive Properties for Directed Graph Semigroups with Applications to Coupled Oscillators ⋮ Travelling corners for spatially discrete reaction-diffusion systems ⋮ Transition fronts of Fisher-KPP equations in locally spatially inhomogeneous patchy environments ⋮ Multidimensional stability of planar traveling waves for the scalar nonlocal Allen-Cahn equation
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