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math.AP2025
Well-posedness and the Łojasiewicz-Simon inequality in the asymptotic analysis of a nonlinear heat equation with constraints of finite codimension
Ashish Bawalia, Zdzisław Brzeźniak, Manil T. Mohan +1
We establish the global well-posedness of the valued strong solution to a nonlinear heat equation with constraints on a \textit{Poincaré domain} $\bO\subset \R^d$ whose boun…
math.AP2014
Random attractors for the stochastic Navier--Stokes equations on the 2D unit sphere
Zdzislaw Brzeźniak, Beniamin Goldys, Quoc Thong Le Gia
In this paper we prove the existence of random attractors for the Navier--Stokes equations on 2 dimensional sphere under random forcing irregular in space and time. We also deduce…