Zobrazeno 1 - 10
of 2 941
pro vyhledávání: '"Cheng, Xing."'
In this article, we consider an energy-critical complex Ginzburg-Landau equation in the exterior of a smooth compact strictly convex obstacle. We prove the global well-posedness of energy-critical complex Ginzburg-Landau equation in an exterior domai
Externí odkaz:
http://arxiv.org/abs/2410.04381
Autor:
Cheng, Xing, Zheng, Jiqiang
In this article, we consider the nonlinear Schr\"odinger equation on the cylinder $\mathbb{R}^d\times \mathbb{T}$. In the long range case, we show there is no linear scattering state of the nonlinear Schr\"odinger equation on $\mathbb{R}^d \times \ma
Externí odkaz:
http://arxiv.org/abs/2405.09740
Autor:
Cheng, Xing, Zheng, Yunrui
We consider the viscous incompressible fluids in a three-dimensional horizontally periodic domain bounded below by a fixed smooth boundary and above by a free moving surface. The fluid dynamics are governed by the Navier-Stokes equations with the eff
Externí odkaz:
http://arxiv.org/abs/2404.16585
Autor:
Cheng, Xing, Zheng, Yunrui
In this article, we consider energy-critical complex Ginzburg-Landau equation in three and four dimensions. We give the dynamics when the energy of the initial data is equal to the energy of the stationary solution.
Externí odkaz:
http://arxiv.org/abs/2402.18347
We study the limit behavior of the solutions to energy-critical complex Ginzburg-Landau equation. We give a rigorous theory of the zero-dispersion limit from energy-critical complex Ginzburg-Landau equation to energy-critical nonlinear heat equation
Externí odkaz:
http://arxiv.org/abs/2311.00499
Autor:
Xuhua Duan, Hao Li, Donglin Kuang, Pengfei Chen, Mengfan Zhang, Tengfei Li, Dechao Jiao, Yanliang Li, Xiang He, Cheng Xing, Haibo Wang, Yaoxian Liu, Limin Xie, Shixi Zhang, Qiang Zhang, Peixin Zhu, Yongchuang Chang, Jichen Xie, Jianzhuang Ren, Xinwei Han
Publikováno v:
Signal Transduction and Targeted Therapy, Vol 9, Iss 1, Pp 1-9 (2024)
Abstract This randomized, prospective, multicenter (12 centers in China) phase III trial (Chinese Clinical Trial Registry #ChiCTR2000041170) compared drug-eluting bead transarterial chemoembolization (DEB-TACE) combined with apatinib and DEB-TACE mon
Externí odkaz:
https://doaj.org/article/1d34a3e94f5c4d249accc8d43224ebaa
In this article, we prove the existence of global weak solutions to the three-dimensional focusing energy-critical nonlinear Schr\"odinger (NLS) equation in the non-radial case. Furthermore, we prove the weak-strong uniqueness for some class of initi
Externí odkaz:
http://arxiv.org/abs/2308.01226
We consider the compressible Euler-Poisson equations for polytropes $P(\rho)=K\rho^{\gamma}$ with $\gamma\in \left(\frac{6}{5},\frac{4}{3} \right]$ and the white dwarf stars. For $\gamma=\frac{4}{3},$ we show that there exists a global weak solution
Externí odkaz:
http://arxiv.org/abs/2305.10218
Publikováno v:
Advances in Climate Change Research, Vol 15, Iss 4, Pp 708-716 (2024)
Exposure to heat stress causes diminished work performance and leads to economic loss. In the last two decades, China has experienced both rapid economic development and environmental warming; however, the spatiotemporal variations of association bet
Externí odkaz:
https://doaj.org/article/2d9d4eaa24d24458b19e92169754a57a
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-9 (2024)
Abstract Humid heat waves pose significant risks to human health and the ecosystem. Intuitively, rainfall often alleviates extreme humid heat. However, here we show that light rain often accompanies extreme humid heat, exacerbating its frequency and
Externí odkaz:
https://doaj.org/article/e4e09d6d87354c72a245909612cdea6e