Junior Analysis Seminar – Matteo Giardi (Max Planck)

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Title Ideal MHD below the classical well-posedness threshold Abstract We discuss local well-posedness in $H^s$ of solutions for the ideal incompressible magnetohydrodynamics system posed on $[0,T]\times\mathbb{R}^d$. Building on a recent result, we show how the wave-null structure induced by a non-vanishing (constant) initial magnetic field can be leveraged to improve the classical Lisphitz threshold $s>d/2+1$ to $s>(d+1)/2$ for the velocity initial data. Please note that the seminar will take place in person in room 140 of Huxley Building. Click here to get to the Junior Analysis Seminar web…