Stability, uniqueness and recurrence of generalized traveling waves in time heterogeneous media of ignition type
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Publication:2951912
DOI10.1090/tran/6726zbMath1357.35079arXiv1408.3848OpenAlexW2962935492MaRDI QIDQ2951912
Publication date: 10 January 2017
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.3848
Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Traveling wave solutions (35C07) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Transition fronts in inhomogeneous Fisher-KPP reaction-diffusion equations
- Critical travelling waves for general heterogeneous one-dimensional reaction-diffusion equations
- Traveling waves in time dependent bistable equations.
- Propagation phenomena for time heterogeneous KPP reaction-diffusion equations
- Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
- Existence and non-existence of Fisher-KPP transition fronts
- Multi-dimensional travelling-wave solutions of a flame propagation model
- Traveling waves in discrete periodic media for bistable dynamics
- Traveling waves in a one-dimensional heterogeneous medium
- Stability and uniqueness of traveling waves for system of nonlocal evolution equations with bistable nonlinearity
- A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
- Existence of planar flame fronts in convective-diffusive periodic media
- Almost periodic differential equations
- On the nonlinear diffusion equation of Kolmogorov-Petrovskii-Piskunov type
- On the stability of waves of nonlinear parabolic systems
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Multidimensional nonlinear diffusion arising in population genetics
- The behavior of solutions of some non-linear diffusion equations for large time
- Convergence to travelling waves for solutions of a class of semilinear parabolic equations
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Traveling waves in diffusive random media
- On spreading speeds and traveling waves for growth and migration models in a periodic habitat
- Generalized traveling waves in disordered media: existence, uniqueness, and stability
- Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness
- Traveling waves in time almost periodic structures governed by bistable nonlinearities. II: Existence
- A discrete convolution model for phase transitions
- Existence, uniqueness, and stability of generalized traveling waves in time dependent monostable equations
- Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media
- Existence, uniqueness and asymptotic stability of traveling wavefronts in a non-local delayed diffusion equation
- Generalized fronts for one-dimensional reaction-diffusion equations
- Traveling Wave Solutions to Combustion Models and Their Singular Limits
- The zero set of a solution of a parabolic equation.
- Almost automorphic and almost periodic dynamics in skew-product semiflows
- Periodic traveling waves and locating oscillating patterns in multidimensional domains
- Wave-Block in Excitable Media Due to Regions of Depressed Excitability
- Front propagation in periodic excitable media
- Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
- On the method of moving planes and the sliding method
- Stability of Generalized Transition Fronts
- Generalized Transition Waves and Their Properties
- Almost Automorphic Functions on Groups
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