AbstractWe construct solutions for 2- and 3-D stochastic nonhomogeneous incompressible Navier–Stokes equations with general multiplicative noise. These equations model the velocity of a mixture of incompressible fluids of varying density, influenced by random external forces that involve feedback; that is, multiplicative noise. Weak solutions for the corresponding deterministic equations were first found by Kazhikhov [A.V. Kazhikhov, Solvability of the initial and boundary-value problem for the equations of motion of an inhomogeneous viscous incompressible fluid, Soviet Phys. Dokl. 19 (6) (1974) 331–332; English translation of the paper in: Dokl. Akad. Nauk SSSR 216 (6) (1974) 1240–1243]. A stochastic version with additive noise was solved ...
Munteanu I, Röckner M. Global solutions for random vorticity equations perturbed by gradient depende...
AbstractA direct solution of the Kolmogorov equation associated to a stochastic Navier–Stokes equati...
This article is dedicated to G. Da Prato for his 70th birthday. Abstract: We construct a Markov fami...
We construct solutions for 2- and 3-D stochastic nonhomogeneous incompressible Navier–Stokes equatio...
AbstractWe construct solutions for 2- and 3-D stochastic nonhomogeneous incompressible Navier–Stokes...
The stochastic non-homogeneous (i.e. non-constant density) incompressible Navier-Stokes equations wi...
We consider the Navier–Stokes equations in $R^d$ (d=2,3) with a stochastic forcing term which is whi...
AbstractWe consider a stochastic Korteweg–de Vries equation forced by a random term of white noise t...
+ ρ < u, ∇> u = ν∆u−∇p+ ρf(t, u) + ρg(t, u)dw dt div u = 0, u|∂D = 0, u|t=0 = u0(1) (2) ∂ρ ∂t ...
This dissertation is devoted to the equations of motion governing the evolution of a fluid or gas at...
Breit D, Feireisl E, Hofmanová M, Maslowski B. Stationary solutions to the compressible Navier–Stoke...
In the first two chapters, a concise introduction to stochastic integration in Hilbert spaces is gi...
UID/MAT/00297/2019This article studies the stochastic evolution of incompressible non-Newtonian flui...
In this paper, we study the stochastic Navier–Stokes equations (SNSE) perturbed by Lévy noise in thr...
In a first part, we are concerned with stochastic two-dimensional Navier-Stokes (NS), non-linear Sch...
Munteanu I, Röckner M. Global solutions for random vorticity equations perturbed by gradient depende...
AbstractA direct solution of the Kolmogorov equation associated to a stochastic Navier–Stokes equati...
This article is dedicated to G. Da Prato for his 70th birthday. Abstract: We construct a Markov fami...
We construct solutions for 2- and 3-D stochastic nonhomogeneous incompressible Navier–Stokes equatio...
AbstractWe construct solutions for 2- and 3-D stochastic nonhomogeneous incompressible Navier–Stokes...
The stochastic non-homogeneous (i.e. non-constant density) incompressible Navier-Stokes equations wi...
We consider the Navier–Stokes equations in $R^d$ (d=2,3) with a stochastic forcing term which is whi...
AbstractWe consider a stochastic Korteweg–de Vries equation forced by a random term of white noise t...
+ ρ < u, ∇> u = ν∆u−∇p+ ρf(t, u) + ρg(t, u)dw dt div u = 0, u|∂D = 0, u|t=0 = u0(1) (2) ∂ρ ∂t ...
This dissertation is devoted to the equations of motion governing the evolution of a fluid or gas at...
Breit D, Feireisl E, Hofmanová M, Maslowski B. Stationary solutions to the compressible Navier–Stoke...
In the first two chapters, a concise introduction to stochastic integration in Hilbert spaces is gi...
UID/MAT/00297/2019This article studies the stochastic evolution of incompressible non-Newtonian flui...
In this paper, we study the stochastic Navier–Stokes equations (SNSE) perturbed by Lévy noise in thr...
In a first part, we are concerned with stochastic two-dimensional Navier-Stokes (NS), non-linear Sch...
Munteanu I, Röckner M. Global solutions for random vorticity equations perturbed by gradient depende...
AbstractA direct solution of the Kolmogorov equation associated to a stochastic Navier–Stokes equati...
This article is dedicated to G. Da Prato for his 70th birthday. Abstract: We construct a Markov fami...