Local martingale solutions and pathwise uniqueness for the three-dimensional stochastic inviscid primitive equations
DOI10.1007/s40072-022-00266-6zbMath1527.35426arXiv2201.05924OpenAlexW4221153824WikidataQ114219495 ScholiaQ114219495MaRDI QIDQ6062435
Publication date: 30 November 2023
Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.05924
pathwise uniquenesshydrostatic Euler equationshydrostatic Navier-Stokes equationsstochastic primitive equationslocal martingale solutions
PDEs in connection with fluid mechanics (35Q35) Stochastic analysis applied to problems in fluid mechanics (76M35) Meteorology and atmospheric physics (86A10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs in connection with geophysics (35Q86)
Cites Work
- Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data
- Pathwise solutions of the 2-D stochastic primitive equations
- Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain
- Analyticity of solutions for a generalized Euler equation
- On the hydrostatic approximation of the Navier-Stokes equations in a thin strip
- Sobolev, Besov and Nikolskii fractional spaces: Imbeddings and comparisons for vector valued spaces on an interval
- Gevrey class regularity for the solutions of the Navier-Stokes equations
- The stochastic primitive equations in two space dimensions with multiplicative noise
- Strong pathwise solutions of the stochastic Navier-Stokes system
- Ill-posedness of the hydrostatic Euler and Navier-Stokes equations
- Compact sets in the space \(L^ p(0,T;B)\)
- Remarks on the derivation of the hydrostatic Euler equations.
- The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation
- Martingale and stationary solutions for stochastic Navier-Stokes equations
- Existence of strong solutions for Itô's stochastic equations via approximations
- Finite-time blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation
- Well-posedness of the 3D stochastic primitive equations with multiplicative and transport noise
- On the effect of rotation on the life-span of analytic solutions to the \(3D\) Inviscid primitive equations
- Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity
- On the effect of fast rotation and vertical viscosity on the lifespan of the \(3D\) Primitive equations
- On the well-posedness of reduced \(3D\) primitive geostrophic adjustment model with weak dissipation
- Well-posedness of the hydrostatic Navier-Stokes equations
- Local martingale and pathwise solutions for an abstract fluids model
- On the \(H ^{s }\) theory of hydrostatic Euler equations
- Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics
- Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
- Existence of a solution `in the large' for the 3D large-scale ocean dynamics equations
- Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces
- Ill-posedness of the hydrostatic Euler and singular Vlasov equations
- The primitive equations approximation of the anisotropic horizontally viscous \(3D\) Navier-Stokes equations
- Mathematical Justification of the Hydrostatic Approximation in the Primitive Equations of Geophysical Fluid Dynamics
- Global existence and regularity for the 3D stochastic primitive equations of the ocean and atmosphere with multiplicative white noise
- Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion
- Homogeneous hydrostatic flows with convex velocity profiles
- Editorial board
- On the derivation of homogeneous hydrostatic equations
- Stochastic Equations in Infinite Dimensions
- On the Local Well-posedness of the Prandtl and Hydrostatic Euler Equations with Multiple Monotonicity Regions
- On the regularity of the primitive equations of the ocean
- Blowup of solutions of the hydrostatic Euler equations
- Stochastic Navier-Stokes equations
- Stochastic primitive equations with horizontal viscosity and diffusivity
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