10 citations · 21 across the 7 of their papers we have counts for
11 papers
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…
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…
Weak Solutions for a non-Newtonian Stokes-Transport System
Dimitri Cobb, Geoffrey Lacour
In this article, we study a non-Newtonian Stokes-Transport system. This set of PDEs was introduced as a model for describing the behavior of a cloud of particles in suspension in a…
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…
On the Well-Posedness of a Fractional Stokes-Transport System
Dimitri Cobb
The purpose of this paper is to study the existence, uniqueness and lifespan of solutions for a fractional Stokes-Transport system. This problem should be understood as a model for…
Remarks on Chemin's space of homogeneous distributions
Dimitri Cobb
This article focuses on Chemin's space of homogeneous distributions, which was introduced to serve as a basis for realizations of subcritical homogeneous Besov spa…