3 papers
math.AP2025
Effective Dynamics and Blow Up in a Model of Magnetic Relaxation
Dimitri Cobb, Daniel Sánchez-Simón del Pino, Juan J. L. Velázquez
In this article we study a one dimensional model for Magnetic Relaxation. This model was introduced by Moffatt and describes a low resistivity viscous plasma, in which the pressure…
math.AP2025
Existence and Uniqueness for the SQG Vortex-Wave System when the Vorticity is Constant near the Point-Vortex
Dimitri Cobb, Martin Donati, Ludovic Godard-Cadillac
This article studies the vortex-wave system for the Surface Quasi-Geostrophic equation with parameter 0 < s < 1. We obtained local existence of classical solutions in H^4 under the…
math.AP2024
Unbounded Yudovich Solutions of the Euler Equations
Dimitri Cobb, Herbert Koch
In this article, we will study unbounded solutions of the 2D incompressible Euler equations. One of the motivating factors for this is that the usual functional framework for the E…