258 citations · 2.3k across the 46 of their papers we have counts for
45 papers · 1 filter
The 3D kinetic Couette flow via the Boltzmann equation in the diffusive limit
Renjun Duan, Shuangqian Liu, Robert M. Strain +1
In the paper we study the Boltzmann equation in the diffusive limit in a channel domain for the 3D kinetic Couette flow. Our results demonstrate that th…
On Nonlinear Stability of Muskat Bubbles
Francisco Gancedo, Eduardo García-Juárez, Neel Patel +1
In this paper we consider gravity-capillarity Muskat bubbles in 2D. We obtain a new approach to improve our result in [25]. Due to a new bubble-adapted formulation, the improvement…
Well-Posedness of the 3D Peskin Problem
Eduardo García-Juárez, Po-Chun Kuo, Yoichiro Mori +1
This paper introduces the 3D Peskin problem: a two-dimensional elastic membrane immersed in a three-dimensional steady Stokes flow. We obtain the equations that model this free bou…
Magnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulus
Jin Woo Jang, Robert M. Strain, Tak Kwong Wong
Although the nuclear fusion process has received a great deal of attention in recent years, the amount of mathematical analysis that supports the stability of the system seems to b…
Asymptotic Stability of the Relativistic Boltzmann Equation without Angular Cut-off
Jin Woo Jang, Robert M. Strain
This paper is concerned with the relativistic Boltzmann equation without angular cutoff. We establish the global-in-time existence, uniqueness, and asymptotic stability for solutio…
Frequency multiplier estimates for the linearized relativistic Boltzmann operator without angular cutoff
Jin Woo Jang, Robert M. Strain
This paper is concerned with the relativistic Boltzmann equation without angular cutoff. The non-cutoff theory for the relativistic Boltzmann equation has been rarely studied even…