On the speed of spread for fractional reaction-diffusion equations

DOI10.1155/2010/315421zbMath1225.35252arXiv0908.0024OpenAlexW1984995410WikidataQ58651242 ScholiaQ58651242MaRDI QIDQ606230

Hans Engler

Publication date: 16 November 2010

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.0024

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Traveling wave solutions (35C07) Fractional partial differential equations (35R11)

Related Items

The influence of fractional diffusion in Fisher-KPP equations ⋮ Distributed order reaction-diffusion systems associated with Caputo derivatives ⋮ A pseudospectral method for the one-dimensional fractional Laplacian on \(\mathbb{R} \) ⋮ A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations ⋮ The Cattaneo type space-time fractional heat conduction equation ⋮ Spreading speed in a fractional attraction-repulsion chemotaxis system with logistic source ⋮ The stability of the equilibria of the Allen–Cahn equation with fractional diffusion ⋮ Fourier spectral methods for fractional-in-space reaction-diffusion equations ⋮ Travelling waves in monostable and bistable stochastic partial differential equations ⋮ Propagation acceleration in reaction diffusion equations with anomalous diffusions ⋮ The stability of traveling waves for Allen–Cahn equations with fractional Laplacian ⋮ The spreading property for a prey-predator reaction-diffusion system with fractional diffusion ⋮ Computational solutions of distributed order reaction-diffusion systems associated with Riemann-Liouville derivatives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solutions for fractional reaction-diffusion equations
• Front-type solutions of fractional Allen-Cahn equation
• Multidimensional nonlinear diffusion arising in population genetics
• Interacting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation, and duality
• Front propagation in reactive systems with anomalous diffusion
• Chaos, fractional kinetics, and anomalous transport
• Positive Halbgruppen auf einen \(n\)-dimensionalen Torus
• Fractional reproduction-dispersal equations and heavy tail dispersal kernels
• Semi-groupes de Feller sur une variété à bord compacte et problèmes aux limites intégro-différentiels du second ordre donnant lieu au principe du maximum
• Asymptotic Behavior and Traveling Wave Solutions for Parabolic Functional Differential Equations
• Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
• The fundamental solution of the space-time fractional diffusion equation
• Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts