1 citations · 2 across the 12 of their papers we have counts for
15 papers
Global well-posedness and Asymptotic analysis of a nonlinear heat equation with constraints of finite codimension
Ashish Bawalia, Zdzisław Brzeźniak, Manil T. Mohan
We prove the global existence and the uniqueness of the valued () strong solutions of a nonlinear heat equation with constraints over bounded doma…
Weak solutions of Navier-Stokes Equation with purely discontinuous Lévy Noise
Zdzisław Brzeźniak, Tomasz Kosmala, Elżbieta Motyl +1
In this paper we prove the existence of weak martingale solutions to the stochastic Navier-Stokes Equations driven by pure jump Lévy processes. Our proof consists of two parts. In…
Semigroups on generalized Sobolev spaces associated with Laplacians with applications Stochastic PDEs with singular boundary conditions
Sergio Albeverio, Zdzisław Brzeźniak, Szymon Peszat
Laplacians associated with domains with singular boundary conditions and are considered together with semigroups on generalized Sobolev spaces, they generate. Applications are give…
Inviscid Limit of the Stochastic Hyperviscous Navier-Stokes Equations and Invariant Measures for the Euler Equations in
Zdzisław Brzeźniak, Matteo Ferrari
We prove the existence and some moment estimates for an invariant measure for the two-dimensional (D) deterministic Euler equations on the unbounded domain and…
Global well posedness and ergodic results in regular Sobolev spaces for the nonlinear Schrödinger equation with multiplicative noise and arbitrary power of the nonlinearity
Zdzisław Brzeźniak, Benedetta Ferrario, Mario Maurelli +1
We consider the nonlinear Schrödinger equation on the -dimensional torus , with the nonlinearity of polynomial type . For any and $s>\fr…
Wave maps in dimension with an external forcing
Zdzisław Brzeźniak, Jacek Jendrej, Nimit Rana
This paper aims to establish the local and global well-posedness theory in , inspired by the approach of Keel and Tao [Internat. Math. Res. Notices, 1998], for the forced wave…