The non-monotonicity of the KPP speed with respect to diffusion in the presence of a shear flow
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Publication:2845430
DOI10.1090/S0002-9939-2013-11728-4zbMath1282.35192arXiv1103.0052OpenAlexW2964189578MaRDI QIDQ2845430
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Publication date: 30 August 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.0052
Reaction-diffusion equations (35K57) Estimates of eigenvalues in context of PDEs (35P15) Shear flows and turbulence (76F10) Population dynamics (general) (92D25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Ecology (92D40) Traveling wave solutions (35C07)
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Cites Work
- The homogenized equation of a heterogeneous reaction-diffusion model involving pulsating traveling fronts
- The speed of propagation for KPP reaction-diffusion equations within large drift
- Two-dimensional curved fronts in a periodic shear flow
- Homogenization and influence of fragmentation in a biological invasion model
- Sharp asymptotics for KPP pulsating front speed-up and diffusion enhancement by flows
- Pulsating traveling fronts in space-time periodic media
- Asymptotic spreading in heterogeneous diffusive excitable media
- Direct and indirect effects of invasions of predators on a multiple- species community
- The speed of propagation for KPP type problems. I: Periodic framework
- On spreading speeds and traveling waves for growth and migration models in a periodic habitat
- Reaction-diffusion equations in space-time periodic media
- KPP pulsating front speed-up by flows
- Quenching of combustion by shear flows
- Spreading speeds as slowest wave speeds for cooperative systems
- Variational principle for spreading speeds and generalized propagating speeds in time almost periodic and space periodic KPP models
- A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations
- Some dependence results between the spreading speed and the coefficients of the space–time periodic Fisher–KPP equation
- Pulsating travelling fronts: Asymptotics and homogenization regimes
- Front Propagation in Heterogeneous Media
- Front propagation in periodic excitable media
- Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales
