25 citations · 33 across the 7 of their papers we have counts for
7 papers
Nonlinear asymptotic stability in for Lipschitz solutions to scalar conservation laws
William Golding
In this note, we show nonlinear stability in for Lipschitz solutions to genuinely nonlinear, multi-dimensional scalar conservation laws. As an application, we are able t…
Nonlinear regularization estimates and global well-posedness for the Landau-Coulomb equation near equilibrium
William Golding, Maria Gualdani, Amélie Loher
We consider the Landau equation with Coulomb potential in the spatially homogeneous case. We show short time propagation of smallness in norms for and instantaneous r…
Unconditional regularity and trace results for the isentropic Euler equations with
William Golding
In this paper, we study the regularity properties of bounded entropy solutions to the isentropic Euler equations with . First, we use a blow-up technique to obtain a new trac…
Existence of smooth solutions to the Landau-Fermi-Dirac equation with Coulomb potential
William Golding, Maria Pia Gualdani, Nicola Zamponi
In this paper, we prove global-in-time existence and uniqueness of smooth solutions to the homogeneous Landau-Fermi-Dirac equation with Coulomb potential. The initial conditions ar…
Sharp a-contraction estimates for small extremal shocks
William Golding, Sam Krupa, Alexis Vasseur
In this paper, we study the -contraction property of small extremal shocks for 1-d systems of hyperbolic conservation laws endowed with a single convex entropy, when subjected t…
Uniqueness Criteria for the Oseen Vortex in the 3d Navier-Stokes Equations
Jacob Bedrossian, William Golding
In this paper, we consider the uniqueness of solutions to the 3d Navier-Stokes equations with initial vorticity given by , where is the one d…