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math.AP2020★ 1 cited
Elsässer formulation of the ideal MHD and improved lifespan in two space dimensions
Dimitri Cobb, Francesco Fanelli
In the present paper, we show an improved lower bound for the lifespan of the solutions to the ideal MHD equations in the case of space dimension . In particular, for small in…
math.AP2020★ 6 cited
Rigorous derivation and well-posedness of a quasi-homogeneous ideal MHD system
Dimitri Cobb, Francesco Fanelli
The goal of this paper is twofold. On the one hand, we introduce a quasi-homogeneous version of the classical ideal MHD system and study its well-posedness in critical Besov spaces…