258 citations · 2.3k across the 46 of their papers we have counts for
4 papers · 2 filters
Propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation
Jin Woo Jang, Robert M. Strain, Seok-Bae Yun
In this paper, we prove the propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation. These bounds have been known to be a chall…
Global mild solutions of the Landau and non-cutoff Boltzmann equations
Renjun Duan, Shuangqian Liu, Shota Sakamoto +1
This paper proves the existence of small-amplitude global-in-time unique mild solutions to both the Landau equation including the Coulomb potential and the Boltzmann equation witho…
Uniqueness of Bounded Solutions for the Homogeneous Relativistic Landau Equation with Coulomb Interactions
Robert M. Strain, Zhenfu Wang
We prove the uniqueness of weak solutions to the spatially homogeneous special relativistic Landau equation under the conditional assumption that the solution satisfies $(p^0)^7 F(…
Global Regularity for Gravity Unstable Muskat Bubbles
Francisco Gancedo, Eduardo Garcia-Juarez, Neel Patel +1
In this paper, we study the dynamics of fluids in porous media governed by Darcy's law: the Muskat problem. We consider the setting of two immiscible fluids of different densities…