Stochastic Burgers Equation with Random Initial Velocities: A Malliavin Calculus Approach

DOI10.1137/120871882zbMath1274.60205OpenAlexW2072523408MaRDI QIDQ2855131

Salah-Eldin A. Mohammed, Tu-Sheng Zhang

Publication date: 24 October 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f119de192ca8381aa65aebd7f796298128f0d85d

zbMATH Keywords

Malliavin calculusstochastic Burgers equationstochastic semiflowsmooth cocyclerandom initial velocityanticipating Burgers equation

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stochastic integral equations (60H20)

Related Items (8)

Stochastic Burgers' equation on the real line: regularity and moment estimates ⋮ The dynamics of the stochastic shadow Gierer-Meinhardt system ⋮ Global Well-Posedness and Regularity of Stochastic 3D Burgers Equation with Multiplicative Noise ⋮ Stochastic nonlocal conservation laws on whole space ⋮ Stochastic partial differential equations driven by space-time fractional noises ⋮ Martingale and weak solutions for a stochastic nonlocal Burgers equation on finite intervals ⋮ Stochastic partial differential equations with gradient driven by space-time fractional noises ⋮ Global well-posedness and large deviations for 3D stochastic Burgers equations

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