Time-periodic planar fronts around an obstacle

DOI10.1007/s00332-021-09753-xzbMath1476.35119OpenAlexW3199595054MaRDI QIDQ2239303

Lin-Lin Li

Publication date: 3 November 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-021-09753-x

zbMATH Keywords

exterior domainstime-periodic planar frontstime-periodic reaction-diffusion equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Traveling wave solutions (35C07) Entire solutions to PDEs (35B08)

Related Items (4)

Entire solutions of combustion reaction-diffusion equations in exterior domains ⋮ Stability of entire solutions emanating from bistable planar traveling waves in exterior domains ⋮ Pulsating fronts of spatially periodic bistable reaction-diffusion equations around an obstacle ⋮ Front propagation and blocking of time periodic bistable reaction-diffusion equations in cylindrical domains

Cites Work

• Existence and global stability of traveling curved fronts in the Allen-Cahn equations
• Asymptotic properties and classification of bistable fronts with Lipschitz level sets
• Global stability of traveling curved fronts in the Allen-Cahn equations
• The uniqueness and asymptotic stability of pyramidal traveling fronts in the Allen-Cahn equations
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Transition fronts of time periodic bistable reaction-diffusion equations in \(\mathbb{R}^N\)
• \(V\)-shaped fronts around an obstacle
• On the mean speed of bistable transition fronts in unbounded domains
• Existence and qualitative properties of multidimensional conical bistable fronts
• Bistable traveling waves around an obstacle
• Stability of Planar Waves in the Allen–Cahn Equation
• Elliptic Partial Differential Equations of Second Order
• Periodic traveling waves and locating oscillating patterns in multidimensional domains
• Solutions of Semilinear Elliptic Equations in with Conical&Shaped Level Sets
• Generalized Transition Waves and Their Properties
• Traveling Fronts of Pyramidal Shapes in the Allen–Cahn Equations

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