Existence of a martingale solution of the stochastic Navier–Stokes equations in unbounded 2D and 3D domains
Z Brzeźniak, E Motyl - Journal of Differential Equations, 2013 - Elsevier
Stochastic Navier–Stokes equations in 2D and 3D possibly unbounded domains driven by a
multiplicative Gaussian noise are considered. The noise term depends on the unknown …
multiplicative Gaussian noise are considered. The noise term depends on the unknown …
Strong pathwise solutions of the stochastic Navier-Stokes system
N Glatt-Holtz, M Ziane - 2009 - projecteuclid.org
We consider the stochastic Navier-Stokes equations forced by a multiplicative white noise
on a bounded domain in space dimensions two and three. We establish the local existence …
on a bounded domain in space dimensions two and three. We establish the local existence …
Local and global well-posedness of SPDE with generalized coercivity conditions
In this paper we establish the local and global existence and uniqueness of solutions for
general nonlinear evolution equations with coefficients satisfying some local monotonicity …
general nonlinear evolution equations with coefficients satisfying some local monotonicity …
Rates of convergence for discretizations of the stochastic incompressible Navier--Stokes equations
E Carelli, A Prohl - SIAM Journal on Numerical Analysis, 2012 - SIAM
We show strong convergence with rates for an implicit time discretization, a semi-implicit
time discretization, and a related finite element based space-time discretization of the …
time discretization, and a related finite element based space-time discretization of the …
[HTML][HTML] Stochastic hydrodynamic-type evolution equations driven by Lévy noise in 3D unbounded domains—abstract framework and applications
E Motyl - Stochastic Processes and their Applications, 2014 - Elsevier
The existence of martingale solutions of the hydrodynamic-type equations in 3D possibly
unbounded domains is proved. The construction of the solution is based on the Faedo …
unbounded domains is proved. The construction of the solution is based on the Faedo …
Global existence of martingale solutions to the three-dimensional stochastic compressible Navier-Stokes equations
D Wang, H Wang - 2015 - projecteuclid.org
The stochastic three-dimensional compressible Navier-Stokes equations are considered in
a bounded domain with multiplicative noise. The global existence of martingale solution is …
a bounded domain with multiplicative noise. The global existence of martingale solution is …
Landau-Lifshitz-Navier-Stokes Equations: Large Deviations and Relationship to The Energy Equality
B Gess, D Heydecker, Z Wu - arXiv preprint arXiv:2311.02223, 2023 - arxiv.org
We study a dynamical large deviation principle for global solutions to the three-dimensional
Landau-Lifschitz-Navier-Stokes equations with spatially correlated noise, in a scaling …
Landau-Lifschitz-Navier-Stokes equations with spatially correlated noise, in a scaling …
Well-posedness of Hall-magnetohydrodynamics system forced by Lvy noise
K Yamazaki, MT Mohan - … and Partial Differential Equations: Analysis and …, 2019 - Springer
We establish the existence and uniqueness of a local smooth solution to the Cauchy
problem for the Hall-magnetohydrodynamics system that is inviscid, resistive, and forced by …
problem for the Hall-magnetohydrodynamics system that is inviscid, resistive, and forced by …
Strong Solutions of the Stochastic Navier-Stokes Equations in ℝ 3
JU Kim - Indiana University mathematics journal, 2010 - JSTOR
We establish the existence of local strong solutions to the stochastic Navier-Stokes
equations in ℝ3. When the noise is multiplicative and non-degenerate, we show the …
equations in ℝ3. When the noise is multiplicative and non-degenerate, we show the …
Martingale solutions for the three-dimensional stochastic nonhomogeneous incompressible Navier–Stokes equations driven by Lévy processes
In this paper, the three-dimensional stochastic nonhomogeneous incompressible Navier–
Stokes equations driven by Lévy processes consisting of the Brownian motion, the …
Stokes equations driven by Lévy processes consisting of the Brownian motion, the …