The Effect on Fisher-KPP Propagation in a Cylinder with Fast Diffusion on the Boundary

DOI10.1137/17M1125388zbMath1386.35211arXiv1504.04698OpenAlexW2964192972WikidataQ58925389 ScholiaQ58925389MaRDI QIDQ4594919

No author found.

Publication date: 27 November 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04698

zbMATH Keywords

reaction-diffusion systemsKPP equationsdifferent spatial dimensionsasymptotic speed of spreading

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Second-order parabolic systems (35K40) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (8)

Propagation speed in a strip bounded by a line with different diffusion ⋮ Asymptotic Stability for Diffusion with Dynamic Boundary Reaction from Ginzburg–Landau Energy ⋮ The field-road diffusion model: fundamental solution and asymptotic behavior ⋮ Influence of a road on a population in an ecological niche facing climate change ⋮ Propagation for KPP bulk-surface systems in a general cylindrical domain ⋮ Spreading speeds and pulsating fronts for a field-road model in a spatially periodic habitat ⋮ On some model problem for the propagation of interacting species in a special environment ⋮ Generalized principal eigenvalues for heterogeneous road–field systems

Cites Work

• Unnamed Item
• The shape of expansion induced by a line with fast diffusion in Fisher-KPP equations
• Inequalities involving modified Bessel functions of the first kind
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Multidimensional nonlinear diffusion arising in population genetics
• Well-posedness and exponential equilibration of a volume-surface reaction-diffusion system with nonlinear boundary coupling
• The influence of a line with fast diffusion on Fisher-KPP propagation
• Propagation speed in a strip bounded by a line with different diffusion
• Fisher–KPP propagation in the presence of a line: further effects
• Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems

This page was built for publication: The Effect on Fisher-KPP Propagation in a Cylinder with Fast Diffusion on the Boundary