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math.AP2025
Scattering of the 2D modified Zakharov-Kuznetsov equation
Philippe Anjolras
We study the modified Zakharov-Kuznetsov equation in dimension : \[ \partial_t u + \partial_x \left( Δu + u^3 \right) = 0 \] where $u : (t, (x, y)) \in \mathbb{R} \times \mathb…
math.AP2025
Path-connectedness of incompressible Euler solutions
Philippe Anjolras
We study the incompressible Euler equation and prove that the set of weak solutions is path-connected. More precisely, we construct paths of Hölder regularity , valued in…