6 citations · 8 across the 8 of their papers we have counts for
3 papers · 2 filters
Global smooth solutions to the inhomogeneous Landau-Fermi-Dirac equation
William Golding, Christopher Henderson
We consider the spatially inhomogeneous Landau-Fermi-Dirac equation with Coulomb potential, a quantum modification of the classical Landau equation for fermions. Mathematically, th…
A sharp rigidity/flexibility threshold for the isotropic Landau equation
Nicholas Gismondi, William Golding, Matthew Novack
We establish a sharp rigidity/flexibility threshold for stationary solutions of the Krieger--Strain equation, an isotropic model of the Landau--Coulomb equation. For every $1< p <…
Pointwise bounds and obstructions to blowup for the Landau and Boltzmann equations
William Golding, Christopher Henderson, Luis Silvestre
We establish a new a priori estimate on solutions to the space-inhomogeneous Landau and Boltzmann equations. As a consequence, we prove a new continuation criterion, based on a wei…