Zobrazeno 1 - 10
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pro vyhledávání: '"Wang, Xuecheng"'
Autor:
Wang, Xuecheng
We prove the global stability of small perturbation near the the constant equilibrium for the two dimensional simplified Ericksen-Leslie's hyperbolic system for incompressible liquid crystal model, where the direction function of liquid crystal molec
Externí odkaz:
http://arxiv.org/abs/2403.18385
The goal of this article is twofold. First, we investigate the linearized Vlasov-Poisson system around a family of spatially homogeneous equilibria in $\mathbb{R}^3$ (the unconfined setting). Our analysis follows classical strategies from physics and
Externí odkaz:
http://arxiv.org/abs/2305.11166
Autor:
Wang, Xuecheng
Motivated by the study of uniaxial crystal optics, we consider a coupled system of $3D$ anisotropic wave equations, in which they have the same speed only in one direction but distinct speeds in the other directions. Moreover, this system has a $1D$-
Externí odkaz:
http://arxiv.org/abs/2303.03973
Autor:
Wang, Xuecheng
We prove global stability of the Minkowski spacetime in the wave coordinates system for the massive Einstein-Vlasov system. In particular, compared with previous results by Lindblad-Taylor, in which the Vlasov part is assumed to have compact support
Externí odkaz:
http://arxiv.org/abs/2210.00512
We prove asymptotic stability of the Poisson homogeneous equilibrium among solutions of the Vlassov-Poisson system in the Euclidean space $\mathbb{R}^3$. More precisely, we show that small, smooth, and localized perturbations of the Poisson equilibri
Externí odkaz:
http://arxiv.org/abs/2205.04540
Autor:
Wang, Xuecheng
We show that the simplified $3D$ relativistic Vlasov-Maxwell (sRVM) system, in which there is no magnetic field, poses a global solution for a class of arbitrarily large cylindrically symmetric initial data. In particular, a vanishing order condition
Externí odkaz:
http://arxiv.org/abs/2203.01202
Autor:
Wang, Xuecheng
We show that the $3D$ relativistic Vlasov-Maxwell system admits global solution for a class of arbitrarily large cylindrically symmetric initial data.
Comment: 113 pages, comments are welcome!
Comment: 113 pages, comments are welcome!
Externí odkaz:
http://arxiv.org/abs/2203.01199
Publikováno v:
In Phytomedicine December 2024 135
We prove small data modified scattering for the Vlasov-Poisson system in dimension $d=3$ using a method inspired from dispersive analysis. In particular, we identify a simple asymptotic dynamic related to the scattering mass.
Externí odkaz:
http://arxiv.org/abs/2005.03617
Autor:
Wang, Xuecheng
We prove global existence of the $3D$ relativistic Vlasov-Maxwell system for a class of arbitrary large regular initial data with spherical symmetry, in which the initial distribution function of particles is assumed to decay fast but polynomially to
Externí odkaz:
http://arxiv.org/abs/2003.14192