Dynamics of Time-Periodic Reaction-Diffusion Equations with Front-Like Initial Data on $\mathbb{R}$
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Publication:5119974
DOI10.1137/19M1268987zbMath1447.35171arXiv1909.12480OpenAlexW3026151519MaRDI QIDQ5119974
Publication date: 9 September 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.12480
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07)
Related Items (6)
Asymptotic behavior of spreading fronts in an anisotropic multi-stable equation on \(\mathbb{R}^N\) ⋮ Long time behavior for a periodic Lotka-Volterra reaction-diffusion system with strong competition ⋮ Properties of traveling waves in an impulsive reaction-diffusion model with overcompensation ⋮ The trichotomy of solutions and the description of threshold solutions for periodic parabolic equations in cylinders ⋮ Admissible speeds in spatially periodic bistable reaction-diffusion equations ⋮ Convergence to traveling waves for time-periodic bistable reaction-diffusion equations
Cites Work
- Transition fronts in time heterogeneous and random media of ignition type
- Traveling waves in time dependent bistable equations.
- Uniqueness and stability properties of monostable pulsating fronts
- Threshold solutions and sharp transitions for nonautonomous parabolic equations on \({\mathbb{R}^N}\)
- Spreading speeds and traveling waves for periodic evolution systems
- Asymptotic behavior of solutions of a nonlinear diffusion equation with a source term of general form
- Convergence and sharp thresholds for propagation in nonlinear diffusion problems
- A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Multidimensional nonlinear diffusion arising in population genetics
- Monotonicity and convergence results in order-preserving systems in the presence of symmetry
- A short proof of the logarithmic Bramson correction in Fisher-KPP equations
- 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
- Pulsating solutions for multidimensional bistable and multistable equations
- Dynamics of time-periodic reaction-diffusion equations with compact initial support on \(\mathbb{R}\)
- Existence, uniqueness, and stability of generalized traveling waves in time dependent monostable equations
- Locally uniform convergence to an equilibrium for nonlinear parabolic equations on $R^N$
- Stability, uniqueness and recurrence of generalized traveling waves in time heterogeneous media of ignition type
- Dynamics of nonnegative solutions of one-dimensional reaction–diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences
- Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations
- Convergence of solutions of the Kolmogorov equation to travelling waves
- The zero set of a solution of a parabolic equation.
- Periodic traveling waves and locating oscillating patterns in multidimensional domains
- Propagation of frontal polymerization—crystallization waves
- Global Stability of Traveling Fronts and Convergence Towards Stacked Families of Waves in Monotone Parabolic Systems
- Propagating Terraces and the Dynamics of Front-Like Solutions of Reaction-Diffusion Equations on ℝ
- Planar Propagating Terraces and the Asymptotic One-dimensional Symmetry of Solutions of Semilinear Parabolic Equations
- Sharp transition between extinction and propagation of reaction
- Structure of periodic solutions and asymptotic behavior for time-periodic reaction-diffusion equations on \(\mathbb{R}\)
- Pulsating fronts for bistable on average reaction-diffusion equations in a time periodic environment
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