Stochastic Traveling Wave Solution to a Stochastic KPP Equation

Huang Zhehao; Liu Zhengrong; Wang Zhenzhen

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Stochastic Traveling Wave Solution to a Stochastic KPP Equation

机译：随机KPP方程的随机行波解

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摘要

In this paper, we consider the stochastic KPP equation which is perturbed by an environmental noise. Applying an extended stochastic ordering technique, we establish the existence of a stochastic traveling wave solution to the equation and give a sufficient condition under which solutions can be attracted to the stochastic traveling wave.

机译：在本文中，我们考虑了随机KPP方程，该方程受环境噪声的干扰。应用扩展的随机排序技术，我们建立了该方程的随机行波解的存在性，并给出了可以吸引随机行波解的充分条件。

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来源
《Journal of dynamics and differential equations》 |2016年第2期|389-417|共29页
作者
Huang Zhehao; Liu Zhengrong; Wang Zhenzhen;
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作者单位

S China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China;

S China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China;

S China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China;

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原文格式 PDF
正文语种 eng
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关键词
Stochastic KPP equation; Stochastic ordering technique; Stochastic traveling wave solution; Attractive domain;

机译：随机KPP方程随机排序技术随机行波解吸引域;

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1. Stochastic traveling wave solution to stochastic generalized KPP equation [J] . Huang Zhehao, Liu Zhengrong Nonlinear differential equations and applications: NoDEA . 2015,第1期

机译：随机广义KPP方程的随机行波解
2. Stochastic traveling waves of a stochastic Fisher–KPP equation and bifurcations for asymptotic behaviors [J] . Zhenzhen Wang, Zhehao Huang, Zhengrong Liu Stochastics and dynamics . 2019,第4期

机译：随机捕捞的随机行驶波，渐近行为的随机行为和分叉
3. Random traveling wave and bifurcations of asymptotic behaviors in the stochastic KPP equation driven by dual noises [J] . Huang Zhehao, Liu Zhengrong Journal of Differential Equations . 2016,第2期

机译：双重噪声驱动的随机KPP方程中的随机行波和渐近行为的分支
4. TRAVELING WAVE SOLUTIONS WITH MIXED DISPERSAL FOR SPATIALLY PERIODIC FISHER-KPP EQUATIONS [C] . Aijun Zhang AIMS International Conference on Dynamical Systems, Differential Equations and Applications . 2013

机译：具有混合分散的行进波解决方程，用于空间周期性捕捞方程式
5. Numerical solution of Fokker-Planck equations using stochastic differential equations [D] . Richardson, James Scott 2005

机译：利用随机微分方程数值求解Fokker-Planck方程
6. STOCHASTIC SOLUTIONS FOR FRACTIONAL WAVE EQUATIONS [O] . MARK M. MEERSCHAERT, RENÉ L. SCHILLING, ALLA SIKORSKII -1

机译：分数阶方程的随机解
7. Asymptotic behaviors and stochastic traveling waves in stochastic Fisher-KPP equations [O] . Zhenzhen Wang, Tianshou Zhou 2021

机译：随机Fisher-KPP方程中的渐近行为和随机行驶波

Stochastic Traveling Wave Solution to a Stochastic KPP Equation

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