Averaging principle for multiscale stochastic reaction-diffusion-advection equations

被引：3
|
作者：
Gao, Peng [1 ,2 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Jilin, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 04期
关键词：
fast-slow SPDEs; strong convergence; stochastic averaging principle; stochastic reaction-diffusion-advection equation; HYPERBOLIC-PARABOLIC EQUATIONS;
D O I：
10.1002/mma.5418
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Stochastic averaging principle is a powerful tool for studying qualitative analysis of multiscale stochastic dynamical systems. In this paper, we will establish an averaging principle for stochastic reaction-diffusion-advection equations with slow and fast time scales. Under suitable conditions, we show that the slow component strongly converges to the solution of the corresponding averaged equation.
引用
收藏
页码：1122 / 1150
页数：29
相关论文
共 50 条
  • [1] Averaging principle for a class of stochastic reaction–diffusion equations
    Sandra Cerrai
    Mark Freidlin
    Probability Theory and Related Fields, 2009, 144 : 137 - 177
  • [2] Averaging principle for a class of stochastic reaction-diffusion equations
    Cerrai, Sandra
    Freidlin, Mark
    PROBABILITY THEORY AND RELATED FIELDS, 2009, 144 (1-2) : 137 - 177
  • [3] Error propagation in approximations to reaction-diffusion-advection equations
    Yannacopoulos, A.N.
    Tomlin, A.S.
    Brindley, J.
    Merkin, J.H.
    Pilling, M.J.
    Physics Letters, Section A: General, Atomic and Solid State Physics, 1996, 223 (1-2): : 82 - 90
  • [4] FRONT PROPAGATION IN BISTABLE REACTION-DIFFUSION-ADVECTION EQUATIONS
    Malaguti, Luisa
    Marcelli, Cristina
    Matucci, Serena
    ADVANCES IN DIFFERENTIAL EQUATIONS, 2004, 9 (9-10) : 1143 - 1166
  • [5] Pushed fronts of monostable reaction-diffusion-advection equations
    Guo, Hongjun
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 356 : 127 - 162
  • [6] Contrast structures in the reaction-diffusion-advection equations in the case of balanced advection
    Levashova, N. T.
    Nefedov, N. N.
    Yagremtsev, A. V.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2013, 53 (03) : 273 - 283
  • [7] Contrast structures in the reaction-diffusion-advection equations in the case of balanced advection
    N. T. Levashova
    N. N. Nefedov
    A. V. Yagremtsev
    Computational Mathematics and Mathematical Physics, 2013, 53 : 273 - 283
  • [8] Error propagation in approximations to reaction-diffusion-advection equations
    Yannacopoulos, AN
    Tomlin, AS
    Brindley, J
    Merkin, JH
    Pilling, MJ
    PHYSICS LETTERS A, 1996, 223 (1-2) : 82 - 90
  • [9] A KHASMINSKII TYPE AVERAGING PRINCIPLE FOR STOCHASTIC REACTION-DIFFUSION EQUATIONS
    Cerrai, Sandra
    ANNALS OF APPLIED PROBABILITY, 2009, 19 (03): : 899 - 948
  • [10] Comparison Principle for Reaction-Diffusion-Advection Problems with Boundary and Internal Layers
    Nefedov, Nikolay
    NUMERICAL ANALYSIS AND ITS APPLICATIONS, NAA 2012, 2013, 8236 : 62 - 72
12345