6 citations · 8 across the 8 of their papers we have counts for
8 papers
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…
On Hydrodynamic Implosions and the Landau-Coulomb Equation
William Golding, Christopher Henderson
We study the inhomogeneous Landau equation with Coulomb potential and derive a new continuation criterion: a smooth solution can be uniquely continued for as long as it remains bou…
Production of the Fisher information for the Landau-Coulomb equation with L1 initial data
Laurent Desvillettes, William Golding, Maria Pia Gualdani +1
We consider the Landau-Coulomb equation for initial data with bounded mass, finite numbers of moments, and entropy. We show the existence of a global weak solution that has bounded…
Global smooth solutions to the Landau-Coulomb equation in
William Golding, Maria Gualdani, Amélie Loher
We consider the homogeneous Landau equation in with Coulomb potential and initial data in polynomially weighted . We show that there exists a smooth solutio…