Effect of stochastic perturbations for front propagation in Kolmogorov Petrovskii Piscunov equations

DOI10.1016/j.spa.2017.11.009zbMath1434.60164arXiv1506.08566OpenAlexW2963649918MaRDI QIDQ1615901

John Noble

Publication date: 31 October 2018

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08566

zbMATH Keywords

stochastic partial differential equationsrandom travelling fronts

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

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• Effect of noise on front propagation in reaction-diffusion equations of KPP type
• The propagation of travelling waves for stochastic generalized KPP equations. Appendix by J. G. Gaines
• Stochastic p.d.e.'s arising from the long range contact and long range voter processes
• Two properties of stochastic KPP equations: ergodicity and pathwise property
• Convergence of solutions of the Kolmogorov equation to travelling waves
• Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
• A correction to: Application of Brownian motion to the equation of Kolmagorov-Petrovski-Piskonov
• Maximal displacement of branching brownian motion
• On gradients of approximate travelling waves for generalised KPP equations

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