Well-posedness for the three dimensional stochastic planetary geostrophic equations of large-scale ocean circulation
DOI10.3934/dcds.2020332zbMath1460.35348OpenAlexW3086259030MaRDI QIDQ1995559
Publication date: 24 February 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2020332
well-posednessplanetary geostrophic equationsadditive noiseweak \(\mathcal{D}\)-pullback mean random attractors
Attractors (35B41) Hydrology, hydrography, oceanography (86A05) Applications of stochastic analysis (to PDEs, etc.) (60H30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30) Infinite-dimensional random dynamical systems; stochastic equations (37L55) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Geophysical flows (76U60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Random attractors for non-autonomous stochastic wave equations with multiplicative noise
- Mean-square random dynamical systems
- Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
- Infinite-dimensional dynamical systems in mechanics and physics.
- Random attractors
- 2D stochastic Navier-Stokes equations driven by jump noise
- Well-posedness and invariant measures for a class of stochastic 3D Navier-Stokes equations with damping driven by jump noise
- Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise
- Weak pullback attractors for mean random dynamical systems in Bochner spaces
- Random attractor for the three-dimensional planetary geostrophic equations of large-scale ocean circulation with small multiplicative noise
- Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms
- Qualitative properties for the stochastic Navier-Stokes equation
- Some mathematical properties of the planetary geostrophic equations for large-scale ocean circulation
- Ergodic theory of chaos and strange attractors
- Random attractors for the three dimensional stochastical planetary geostrophic equations of large-scale ocean circulation
- Long-time behavior of 3D stochastic planetary geostrophic viscous model
- Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
- Flattening, squeezing and the existence of random attractors
- Remarks on the planetary geostrophic model of gyre scale ocean circulation
This page was built for publication: Well-posedness for the three dimensional stochastic planetary geostrophic equations of large-scale ocean circulation
