Zobrazeno 1 - 10
of 162
pro vyhledávání: '"Strain, Robert M."'
In the paper we study the Boltzmann equation in the diffusive limit in a channel domain $\mathbb{T}^2\times (-1,1)$ for the 3D kinetic Couette flow. Our results demonstrate that the first-order approximation of the solutions is governed by the pertur
Externí odkaz:
http://arxiv.org/abs/2409.00311
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 is two fold. We significantly condense the proof and we now obtain th
Externí odkaz:
http://arxiv.org/abs/2312.14323
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 boundary problem and show that they admit a boundary integral reduction,
Externí odkaz:
http://arxiv.org/abs/2301.12153
Autor:
Cameron, Stephen, Strain, Robert M.
We study the problem where a one-dimensional elastic string is immersed in a two-dimensional steady Stokes fluid. This is known as the Stokes immersed boundary problem and also as the Peskin problem. We consider the case with equal viscosities and wi
Externí odkaz:
http://arxiv.org/abs/2112.00692
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 be relatively insufficient. This paper deals with the mathematical anal
Externí odkaz:
http://arxiv.org/abs/2111.04583
Autor:
Jang, Jin Woo, Strain, Robert M.
This paper is concerned with the relativistic Boltzmann equation without angular cutoff. We establish the global-in-time existence, uniqueness, and asymptotic stability for solutions nearby the relativistic Maxwellian. We work in the case of a spatia
Externí odkaz:
http://arxiv.org/abs/2103.15885
Autor:
Jang, Jin Woo, Strain, Robert M.
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 under a smallness assumption on the initial data due to the lack of un
Externí odkaz:
http://arxiv.org/abs/2102.08846
Publikováno v:
Analysis & PDE 16 (2023) 785-838
The Peskin problem models the dynamics of a closed elastic filament immersed in an incompressible fluid. In this paper, we consider the case when the inner and outer viscosities are possibly different. This viscosity contrast adds further non-local e
Externí odkaz:
http://arxiv.org/abs/2009.03360
This article considers a long-outstanding open question regarding the Jacobian determinant for the relativistic Boltzmann equation in the center-of-momentum coordinates. For the Newtonian Boltzmann equation, the center-of-momentum coordinates have pl
Externí odkaz:
http://arxiv.org/abs/2006.02540
In this paper, we prove the propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation. These $L^\infty$ bounds have been known to be a challenging open problem in relativistic kinetic theory. To accomplish this
Externí odkaz:
http://arxiv.org/abs/1907.05784