Well-posedness properties for a stochastic rotating shallow water model
DOI10.1007/s10884-022-10243-1MaRDI QIDQ6652533
Publication date: 12 December 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Maximum principles in context of PDEs (35B50) General theory of rotating fluids (76U05) 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) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rotation prevents finite-time breakdown
- On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
- Global existence and well-posedness of the 2D viscous shallow water system in Besov spaces
- Compact sets in the space \(L^ p(0,T;B)\)
- Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
- Existence theorem for the solution of a shallow water problem
- Global existence for the Dirichlet problem for the viscous shallow water equations
- Ill-posedness for the 2D viscous shallow water equations in the critical Besov spaces
- Stochastic one layer shallow water equations with Lévy noise
- Local martingale solutions to the stochastic one layer shallow water equations
- Global existence and local well-posedness of the 2D viscous shallow water system in Sobolev spaces
- Long-Time Existence of Smooth Solutions for the Rapidly Rotating Shallow-Water and Euler Equations
- On the Well-Posedness for the Viscous Shallow Water Equations
- Global Existence of Classical Solutions in the Dissipative Shallow Water Equations
- Existence and Uniqueness of a Classical Solution of an Initial-Boundary Value Problem of the Theory of Shallow Waters
- Numerically Modeling Stochastic Lie Transport in Fluid Dynamics
- Stochastic Equations in Infinite Dimensions
- Variational principles for stochastic fluid dynamics
- Global existence and well-posedness of the 2D viscous shallow water system in Sobolev spaces with low regularity
This page was built for publication: Well-posedness properties for a stochastic rotating shallow water model