Random dynamics of the stochastic Boussinesq equations driven by Lévy noises

DOI10.1155/2013/653160zbMath1279.60079OpenAlexW2008611617MaRDI QIDQ370112

Yuhong Li, Jin-qiao Duan, Jian Hua Huang

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/653160

zbMATH Keywords

regularityexistenceuniquenessglobal weak solutionstochastic Boussinesq equationsrandom dynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items

Strong solutions for the stochastic Navier-Stokes equations on the 2D rotating sphere with stable Lévy noise, Additive noise destroys the random attractor close to bifurcation, Random attractors for stochastic Navier-Stokes equation on a 2D rotating sphere with stable Lévy noise, Dynamics for a stochastic reaction-diffusion equation with additive noise

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Bénard problem with random perturbations: Dissipativity and invariant measures
• Regularity of Ornstein-Uhlenbeck processes driven by a Lévy white noise
• Large deviations for the two-dimensional Navier-Stokes equations with multiplicative noise
• Large deviations for the Boussinesq equations under random influences
• Stochastic partial differential equations in \(M\)-type 2 Banach spaces
• Rare events in the Boussinesq system with fluctuating dynamical boundary conditions
• Ergodicity for the dissipative Boussinesq equations with random forcing
• Random Dynamics of the Boussinesq System with Dynamical Boundary Conditions
• Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains
• Lévy Processes and Stochastic Calculus
• Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
• STOCHASTIC DYNAMICS OF A COUPLED ATMOSPHERE–OCEAN MODEL
• Stochastic Partial Differential Equations with Levy Noise