Zobrazeno 1 - 10
of 112
pro vyhledávání: '"Zdzisław Brzeźniak"'
This monograph examines magnetization dynamics at elevated temperatures which can be described by the stochastic Landau-Lifshitz-Gilbert equation (SLLG). The first part of the book studies the role of noise in finite ensembles of nanomagnetic particl
Publikováno v:
Journal of Differential Equations. 325:1-69
We consider stochastic wave map equation on real line with solutions taking values in a $d$-dimensional compact Riemannian manifold. We show first that this equation has unique, global, strong in PDE sense, solution in local Sobolev spaces. The main
Publikováno v:
Quantum and Stochastic Mathematical Physics ISBN: 9783031140303
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3a1fcaad751a7ee0e75d7beaa1faacbc
https://doi.org/10.1007/978-3-031-14031-0_12
https://doi.org/10.1007/978-3-031-14031-0_12
Autor:
Zdzisław Brzeźniak, Jakub Slavík
Publikováno v:
Journal of Differential Equations. 296:617-676
We show that the stochastic 3D primitive equations with the Neumann boundary condition on the top, the lateral Dirichlet boundary condition and either the Dirichlet or the Neumann boundary condition on the bottom driven by multiplicative gradient-dep
Publikováno v:
Journal of the European Mathematical Society.
Autor:
Gaurav Dhariwal, Zdzisław Brzeźniak
Publikováno v:
Journal of Differential Equations. 285:128-174
We study two dimensional Navier–Stokes equations driven by a multiplicative Gaussian noise in the Stratonovich form along with a constraint on the L 2 -norm of the solution. In the deterministic setting [5] , it was shown that the global solution e
Publikováno v:
Journal of Evolution Equations. 21:3891-3961
In this paper we consider the 2D Ericksen–Leslie equations which describe the hydrodynamics of nematic liquid crystal with external body forces and anisotropic energy modeling the energy of applied external control such as magnetic or electric fiel
Publikováno v:
Journal of Differential Equations. 276:404-432
We consider a stochastic Camassa-Holm equation driven by a one-dimensional Wiener process with a first order differential operator as diffusion coefficient. We prove the existence and uniqueness of local strong solutions of this equation. In order to
Publikováno v:
Journal of Differential Equations. 269:9471-9507
The Landau–Lifshitz–Bloch equation perturbed by a space-dependent noise was proposed in [10] as a model for evolution of spins in ferromagnetic materials at the full range of temperatures, including the temperatures higher than the Curie temperat
Publikováno v:
Applied Mathematics and Optimization
Incompressible Navier-Stokes equations on a thin spherical domain $Q_\varepsilon$ along with free boundary conditions under a random forcing are considered. The convergence of the martingale solution of these equations to the martingale solution of t