On the global well-posedness of a class of 2D solutions for the Rosensweig system of ferrofluids

2018/01/11 by Scrobogna, Stefano · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1801.03777

Abstract

We study study a class of 2D solutions of a Bloch-Torrey regularization of the Rosensweig system in the whole space, which arise when the initial data and the external magnetic field are 2D. We prove that such solutions are globally defined if the initial data is in H^k(ℝ²), k\geqslant 1 .

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• Existence of weak solution of 3D ferrohydrodynamic equations with transport noise: Bloch-Torrey regularisation
• Global existence of weak solutions to a two-phase diffuse interface model of ferrofluids dynamics

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