Ergodicity of Galerkin approximations of surface quasi-geostrophic equations and Hall-magnetohydrodynamics system forced by degenerate noise
DOI10.1007/s00030-022-00753-8zbMath1490.35357OpenAlexW4210848722MaRDI QIDQ2119249
Publication date: 23 March 2022
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-022-00753-8
ergodicityHörmander's conditionsurface quasi-geostrophic equationsHall-magnetohydrodynamics systemHarris' condition
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Applications of stochastic analysis (to PDEs, etc.) (60H30) White noise theory (60H40) Magnetohydrodynamics and electrohydrodynamics (76W05) Many-body theory; quantum Hall effect (81V70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) 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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Singularity formation for the incompressible Hall-MHD equations without resistivity
- Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system
- A theory of regularity structures
- On partial regularity for the steady Hall magnetohydrodynamics system
- A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs
- On Malliavin's proof of Hörmander's theorem
- The Bénard problem with random perturbations: Dissipativity and invariant measures
- Well-posedness for Hall-magnetohydrodynamics
- Remarks on the three and two and a half dimensional Hall-magnetohydrodynamics system: deterministic and stochastic cases
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- Viscosity versus vorticity stretching: global well-posedness for a family of Navier-Stokes-alpha-like models
- Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Dissipativity and invariant measures for stochastic Navier-Stokes equations
- On hydromagnetic waves in atmospheres with application to the Sun
- Stochastic Navier-Stokes equations: Analysis of the noise to have a unique invariant measure
- Ergodicity of the finite-dimensional approximation of the 3D Navier-Stokes equations forced by a degenerate noise
- Ergodicity of the 2-D Navier-Stokes equation under random perturbations
- Nonlinear maximum principles for dissipative linear nonlocal operators and applications
- Stochastic 2D hydrodynamical type systems: well posedness and large deviations
- Irreducibility of the three, and two and a half dimensional Hall-magnetohydrodynamics system
- Well-posedness of Hall-magnetohydrodynamics system forced by Lévy noise
- Markov selections for the magnetohydrodynamics and the Hall-magnetohydrodynamics systems
- Sub and supercritical stochastic quasi-geostrophic equation
- Stochastic Hall-magneto-hydrodynamics system in three and two and a half dimensions
- On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics
- Variation on a theme of Caffarelli and Vasseur
- Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
- Markov selections for the 3D stochastic Navier-Stokes equations
- Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations
- Hypoelliptic second order differential equations
- Bifurcation analysis of magnetic reconnection in Hall-MHD-systems
- Ergodicity for the dissipative Boussinesq equations with random forcing
- On the temporal decay for the Hall-magnetohydrodynamic equations
- Vorticity and Incompressible Flow
- Mathematics of Two-Dimensional Turbulence
- Some mathematical questions related to the mhd equations
- Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
- Malliavin calculus for the stochastic 2D Navier—Stokes equation
- Regularity and Blow up for Active Scalars
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
- Ergodic results for stochastic navier-stokes equation
- Behavior of Solutions of 2D Quasi-Geostrophic Equations
- Ergodicity for the Navier‐Stokes equation with degenerate random forcing: Finite‐dimensional approximation
- Strong Feller property of the magnetohydrodynamics system forced by space–time white noise
- Ergodicity of a Galerkin approximation of three-dimensional magnetohydrodynamics system forced by a degenerate noise
- Stochastic Equations in Infinite Dimensions
- On Partial Regularity for the 3D Nonstationary Hall Magnetohydrodynamics Equations on the Plane
- On the spontaneous magnetic field in a conducting liquid in turbulent motion
- The invariant theory of isotropic turbulence in magneto-hydrodynamics
- Stochastic Burgers' equation
- Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation
This page was built for publication: Ergodicity of Galerkin approximations of surface quasi-geostrophic equations and Hall-magnetohydrodynamics system forced by degenerate noise