Noise effect on the 2D stochastic Burgers equation

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Statistical turbulence modeling (76F55) Brownian motion (60J65) Ergodicity, mixing, rates of mixing (37A25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic integral equations (60H20)

Cites Work

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One-dimensional stochastic Burgers equation driven by Lévy processes
On the uniqueness of invariant measure of the Burgers equation driven by Lévy processes
Strong pathwise solutions of the stochastic Navier-Stokes system
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The stochastic Burgers equation
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Scaling limits of Wick ordered KPZ equation
Exponential ergodicity of stochastic Burgers equations driven by \(\alpha\)-stable processes
Global well-posedness and large deviations for 3D stochastic Burgers equations
Large deviation principle of occupation measure for stochastic Burgers equation
Hyperbolicity of minimizers and regularity of viscosity solutions for a random Hamilton-Jacobi equation
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Space-time stationary solutions for the Burgers equation
Dynamic Scaling of Growing Interfaces
Thermodynamic Limit for Directed Polymers and Stationary Solutions of the Burgers Equation
Stochastic Cahn-Hilliard equation
Multidimensional Stochastic Burgers Equation
Large-Time Behavior for Viscous and Nonviscous Hamilton--Jacobi Equations Forced by Additive Noise
Forced Model Equation for Turbulence
The partial differential equation u_t + uu_x = μ_xx
On a quasi-linear parabolic equation occurring in aerodynamics
Stochastic Burgers' equation
Stochastic Equations in Infinite Dimensions
Global Well-Posedness and Regularity of Stochastic 3D Burgers Equation with Multiplicative Noise

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