1 citations · 1 across the 4 of their papers we have counts for
10 papers
On 2D Harmonic Extensions of Vector Fields and Stellarator Coils
Adam J. Golab, James C. Robinson, José L. Rodrigo
We consider a problem relating to magnetic confinement devices known as stellarators. Plasma is confined by magnetic fields generated by current-carrying coils, and here we investi…
Remarks on a nonlocal transport
Dong Li, Jose Rodrigo
We consider a one dimensional nonlocal transport equation and its natural multi-dimensional analogues. By using a new pointwise inequality for the Hilbert transform, we give a shor…
Local Existence of Analytic Sharp Fronts for Singular SQG
Calvin Khor, José L. Rodrigo
In this paper, we prove local existence and uniqueness of analytic sharp-front solutions to a generalised SQG equation by the use of an abstract Cauchy--Kowalevskaya theorem. Here,…
On Sharp Fronts and Almost-Sharp Fronts for singular SQG
Calvin Khor, José L. Rodrigo
In this paper we consider a family of active scalars with a velocity field given by , for . This family of equations is a more singular ve…
Asymptotics for vortex filaments using a modified Biot-Savart kernel
Benjamin C. Pooley, José L. Rodrigo
We consider a family of approximations to the Euler equations obtained by adding to the non-locality in the Biot-Savart kernel together with a mollification (with par…
On the singularity formation and relaxation to equilibrium in 1D Fokker-Planck model with superlinear drift
José A. Carrillo, Katharina Hopf, José L. Rodrigo
We consider a class of Fokker--Planck equations with linear diffusion and superlinear drift enjoying a formal Wasserstein-like gradient flow structure with convex mobility function…