Stochastic stability of Burgers equation

DOI10.1007/s10114-016-5433-3zbMath1407.37083OpenAlexW2474740232MaRDI QIDQ2396737

Yan Zheng

Publication date: 24 May 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-5433-3

zbMATH Keywords

Burgers equationstochastic stabilitywhite noise

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) White noise theory (60H40) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

• Approximations to the stochastic Burgers equation
• Two results concerning asymptotic behavior of solutions of the Burgers equation with force
• The Burgers equation with a random force and a general model for directed polymers in random environments
• Invariant measures for Burgers equation with stochastic forcing
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