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20072026
most citedStochastic tamed Navier-Stokes equations on :existence, uniqueness of solution and existence of an invariant measure

29 citations · 117 across the 20 of their papers we have counts for

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math.AP2020★ 6 cited

Well-Posedness of the 3D Stochastic Primitive Equations with Transport Noise

Zdzisław Brzeźniak, Jakub Slavík

We show that that the stochastic 3D primitive equations with either the physical boundary conditions or Neumann boundary conditions on the top and bottom and Dirichlet boundary con…

math.AP2020

Low regularity solutions to the stochastic geometric wave equation driven by a fractional Brownian sheet

Zdzisław Brzeźniak, Nimit Rana

We announce a result on the existence of a unique local solution to a stochastic geometric wave equation on the one dimensional Minkowski space with values in an…

math.AP2019★ 29 cited

Stochastic tamed Navier-Stokes equations on :existence, uniqueness of solution and existence of an invariant measure

Zdzisław Brzeźniak, Gaurav Dhariwal

Röckner and Zhang in [27] proved the existence of a unique strong solution to a stochastic tamed 3D Navier-Stokes equation in the whole space and for the periodic boundary case usi…

math.AP2019

Existence of a unique solution and invariant measures for the stochastic Landau--Lifshitz--Bloch equation

Zdzislaw Brzeźniak, Beniamin Goldys, Kim Ngan Le

The Landau--Lifshitz--Bloch equation perturbed by a space-dependent noise was proposed in Garanin 1991 as a model for evolution of spins in ferromagnatic materials at the full rang…

math.AP2017★ 2 cited

Stochastic Constrained Navier-Stokes Equations on

Zdzisław Brzeźniak, Gaurav Dhariwal

We study constrained 2-dimensional Navier-Stokes Equations driven by a multiplicative Gaussian noise in the Stratonovich form. In the deterministic case [4] we showed the existence…

math.AP2016★ 14 cited

2D Constrained Navier-Stokes Equations

Zdzisław Brzeźniak, Gaurav Dhariwal, Mauro Mariani

We study 2D Navier-Stokes equations with a constraint on energy of the solution. We prove the existence and uniqueness of a global solution for the constrained Navier-Stokes…