128 citations · 387 across the 40 of their papers we have counts for
4 papers · 2 filters
Energy equality for the 3D critical convective Brinkman-Forchheimer equations
Karol W. Hajduk, James C. Robinson
In this paper we give a simple proof of the existence of global-in-time smooth solutions for the convective Brinkman-Forchheimer equations (also called in the literature the tamed…
Energy conservation in the 3D Euler equations on
James C. Robinson, José L. Rodrigo, Jack W. D. Skipper
The aim of this paper is to prove energy conservation for the incompressible Euler equations in a domain with boundary. We work in the domain , wher…
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…
Well-posedness for the diffusive 3D Burgers equations with initial data in
Benjamin C. Pooley, James C. Robinson
In this note we discuss the diffusive, vector-valued Burgers equations in a three-dimensional domain with periodic boundary conditions. We prove that given initial data in $H^{1/2}…