10 citations · 17 across the 3 of their papers we have counts for
4 papers · 1 filter
Symmetry breaking in ideal magnetohydrodynamics: the role of the velocity
Dimitri Cobb, Francesco Fanelli
The ideal magnetohydrodynamic equations are, roughly speaking, a quasi-linear symmetric hyperbolic system of PDEs, but not all the unknowns play the same role in this system. Indee…
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…
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…
On the fast rotation asymptotics of a non-homogeneous incompressible MHD system
Dimitri Cobb, Francesco Fanelli
This paper is devoted to the analysis of a singular perturbation problem for a -D incompressible MHD system with density variations and Coriolis force, in the limit of small Ros…