Local martingale solutions to the stochastic one layer shallow water equations

DOI10.1016/j.jmaa.2016.10.036zbMath1387.60101OpenAlexW2538926953MaRDI QIDQ2374219

Yanyan Li

Publication date: 14 December 2016

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.2016.10.036

zbMATH Keywords

local existenceshallow water equationsstochastic partial differential equationsGalerkin approximationmartingale solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (6)

The Stampacchia maximum principle for stochastic partial differential equations forced by Lévy noise ⋮ Convergent finite element based discretization of a stochastic two‐phase flow model ⋮ Analytical properties for a stochastic rotating shallow water model under location uncertainty ⋮ Global martingale solutions to stochastic population-toxicant model with cross-diffusion ⋮ Well-posedness of solutions to stochastic fluid-structure interaction ⋮ Local martingale solutions to the stochastic two layer shallow water equations with multiplicative white noise

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
• On the uniqueness of solutions of stochastic differential equations
• The Cauchy problem for viscous shallow water equations
• Stochastic systems of diffusion equations with polynomial reaction terms
• GPU accelerated lattice Boltzmann model for shallow water flow and mass transport
• Global existence and regularity for the 3D stochastic primitive equations of the ocean and atmosphere with multiplicative white noise
• An Introduction to 3D Stochastic Fluid Dynamics
• On the Well-Posedness for the Viscous Shallow Water Equations
• 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
• 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 one layer shallow water equations