128 citations · 227 across the 8 of their papers we have counts for
9 papers
A Lagrangian scheme for the solution of nonlinear diffusion equations using moving simplex meshes
José A. Carrillo, Bertram Düring, Daniel Matthes +1
A Lagrangian numerical scheme for solving nonlinear degenerate Fokker-Planck equations in space dimensions is presented. It applies to a large class of nonlinear diffusion…
Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces
Charles L. Fefferman, David S. McCormick, James C. Robinson +1
This paper establishes the local-in-time existence and uniqueness of solutions to the viscous, non-resistive magnetohydrodynamics (MHD) equations in , , with i…
Lower bounds on blowing-up solutions of the 3D Navier--Stokes equations in , , and
David S. McCormick, Eric J. Olson, James C. Robinson +3
If is a smooth solution of the Navier--Stokes equations on with first blowup time , we prove lower bounds for in the Sobolev spaces , $\dot…
Local existence for the non-resistive MHD equations in Besov spaces
Jean-Yves Chemin, David S. McCormick, James C. Robinson +1
In this paper we prove the existence of solutions to the viscous, non-resistive magnetohydrodynamics (MHD) equations on the whole of , , for divergence-free…
Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
C. L. Fefferman, D. S. McCormick, J. C. Robinson +1
This paper establishes the local-in-time existence and uniqueness of strong solutions in for to the viscous, non-resistive magnetohydrodynamics (MHD) equations in…
Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation
David S. McCormick, James C. Robinson, Jose L. Rodrigo
We prove existence, uniqueness and regularity of weak solutions of a coupled parabolic-elliptic model in two dimensions; we consider the standard equations of magnetohydrodynamics…