Stochastic differential equations and diffusion processes

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Infinite-Dimensional Dynamical Systems in Mechanics and Physics (Roger Temam)

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Introduction To Infinite Dimensional Linear Systems Theory

Second‐Order Parabolic Differential Equations

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Introduction To Stochastic Control Theory

Well-posedness for stochastic Camassa–Holm equation

Regularity criteria for the Navier–Stokes–Landau–Lifshitz system

Uniqueness of Weak Solutions to the 3D Ginzburg–Landau Superconductivity Model

Well-posedness and invariant measures for a class of stochastic 3D Navier-Stokes equations with damping driven by jump noise

The 3D Navier–Stokes–Voight model of viscoelastic incompressible fluid with random influence is investigated. We prove the existence and uniqueness of a weak solution using the Faedo–Galerkin method and then show that the long time dynamics is captured by a random attractor.

Hongjun Gao

Papers

Well-posedness for stochastic Camassa–Holm equation

Regularity criteria for the Navier–Stokes–Landau–Lifshitz system

Uniqueness of Weak Solutions to the 3D Ginzburg–Landau Superconductivity Model

Well-posedness and invariant measures for a class of stochastic 3D Navier-Stokes equations with damping driven by jump noise

Random dynamics of the 3D stochastic Navier–Stokes–Voight equations