The propagation of travelling waves for stochastic generalized KPP equations. Appendix by J. G. Gaines

DOI10.1016/0895-7177(94)90162-7zbMath0807.60061OpenAlexW2035959500MaRDI QIDQ1336731

Huaizhong Zhao, K. David Elworthy

Publication date: 8 December 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(94)90162-7

zbMATH Keywords

Hamilton-Jacobi equationstochastic reaction-diffusion equationsstochastic Feynman-Kac formulawhite noise potentialexistence and propagation of approximate travelling waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stochastic analysis (60H99)

Related Items (13)

Effect of stochastic perturbations for front propagation in Kolmogorov Petrovskii Piscunov equations ⋮ Random traveling wave and bifurcations of asymptotic behaviors in the stochastic KPP equation driven by dual noises ⋮ Stochastic traveling wave solution to a stochastic KPP equation ⋮ Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen--Cahn Equation ⋮ Propagation of stochastic travelling waves of cooperative systems with noise ⋮ Stochastic travelling wave solution of the \(N\)-species cooperative systems with multiplicative noise ⋮ Unnamed Item ⋮ Existence and stability traveling wave solutions for a system of social outbursts ⋮ Stochastic traveling wave solution to stochastic generalized KPP equation ⋮ Stochastic generalised KPP equations ⋮ Travelling waves in monostable and bistable stochastic partial differential equations ⋮ The stochastic Burgers equation with vorticity: Semiclassical asymptotic series solutions with applications ⋮ Travelling wave of stochastic Lotka-Volterra competitive system

Cites Work

• Coupled reaction-diffusion equations
• Parabolic problems for the Anderson model. I: Intermittency and related topics
• Existence of solutions to Hamiltonian dynamical systems of optimal growth
• Stochastic parabolic equations in bounded domains: random evolution operator and lyapunov exponents
• Approximation for diffusion in random fields
• Functional Integration and Partial Differential Equations. (AM-109)
• Classical mechanics, the diffusion (heat) equation and the Schrödinger equation on a Riemannian manifold
• The travelling wave fronts of nonlinear reaction–diffusion systems via Friedlin's stochastic approaches
• Approximate travelling waves for generalized KPP equations and classical mechanics
• Diffusion processes in a small time interval
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