Local martingale solutions to the stochastic two layer shallow water equations with multiplicative white noise
DOI10.1016/j.jmaa.2017.10.045zbMath1390.60243OpenAlexW2767686699MaRDI QIDQ1706388
Publication date: 22 March 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.045
stochastic partial differential equationspathwise solutionsmartingale solutionsGalerkin approximation scheme
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pathwise solutions of the 2-D stochastic primitive equations
- Random perturbation of PDEs and fluid dynamic models. École d'Été de Probabilités de Saint-Flour XL -- 2010
- Explosive solutions of stochastic reaction-diffusion equations in mean \(L^p\)-norm
- The stochastic primitive equations in two space dimensions with multiplicative noise
- Strong pathwise solutions of the stochastic Navier-Stokes system
- Global existence for the Cauchy problem for the viscous shallow water equations
- Existence theorem for the solution of a shallow water problem
- Martingale and stationary solutions for stochastic Navier-Stokes equations
- Existence of strong solutions for Itô's stochastic equations via approximations
- Local martingale and pathwise solutions for an abstract fluids model
- A concise course on stochastic partial differential equations
- Local martingale solutions to the stochastic one layer shallow water equations
- On the uniqueness of solutions of stochastic differential equations
- The Cauchy problem for viscous shallow water equations
- GPU accelerated lattice Boltzmann model for shallow water flow and mass transport
- An Introduction to 3D Stochastic Fluid Dynamics
- On the Well-Posedness for the Viscous Shallow Water Equations
- Young Measure‐Valued Solutions for Non-Newtonian Incompressible Fluids1
- PROBABILISTIC DYNAMICS OF TWO-LAYER GEOPHYSICAL FLOWS
- THE NONLINEAR GALERKIN METHOD APPLIED TO SHALLOW WATER EQUATIONS
- Mathematical Modeling in Continuum Mechanics
- Local Solutions for Stochastic Navier Stokes Equations
- Improvement and generalization of a finite element shallow-water solver to multi-layer systems
- ON A BI-LAYER SHALLOW WATER MODEL WITH RIGID-LID HYPOTHESIS
- Stochastic Navier-Stokes equations
- Stochastic Equations in Infinite Dimensions
- Stochastic differential equations. An introduction with applications.
This page was built for publication: Local martingale solutions to the stochastic two layer shallow water equations with multiplicative white noise