Zobrazeno 1 - 10
of 581
pro vyhledávání: '"Shen Zhongwei"'
Analyzing long-term behaviors in high-dimensional nonlinear dynamical systems remains a significant challenge. The Koopman operator framework has emerged as a powerful tool to address this issue by providing a globally linear perspective on nonlinear
Externí odkaz:
http://arxiv.org/abs/2501.00701
Autor:
Geng, Jun, Shen, Zhongwei
This paper studies the Neumann boundary value problems for the Stokes equations in a convex domain in $\mathbb{R}^d$. We obtain nontangential-maximal-function estimates in $L^p$ and $W^{1, p}$ estimates for $p$ in certain ranges depending on $d$. The
Externí odkaz:
http://arxiv.org/abs/2410.16650
Autor:
Shen, Zhongwei, Zhuge, Jinping
This paper is concerned with the Dirichlet eigenvalue problem for Laplace operator in a bounded domain with periodic perforation in the case of small volume. We obtain the optimal quantitative error estimates independent of the spectral gaps for an a
Externí odkaz:
http://arxiv.org/abs/2408.14278
Autor:
Geng, Jun, Shen, Zhongwei
We establish resolvent estimates in spaces of bounded solenoidal functions for the Stokes operator in a bounded domain $\Omega$ in $R^d$ under the assumptions that $\Omega$ is $C^1$ for $d\ge 3$ and Lipschitz for $d=2$. As a corollary, it follows tha
Externí odkaz:
http://arxiv.org/abs/2408.03844
For better explore the relations of inter-modal and inner-modal, even in deep learning fusion framework, the concept of decomposition plays a crucial role. However, the previous decomposition strategies (base \& detail or low-frequency \& high-freque
Externí odkaz:
http://arxiv.org/abs/2406.04689
Autor:
Qian, Hong, Shen, Zhongwei
Entropy, its production, and its change in a dynamical system can be understood from either a fully stochastic dynamic description or from a deterministic dynamics exhibiting chaotic behavior. By taking the former approach based on the general diffus
Externí odkaz:
http://arxiv.org/abs/2406.00165
Autor:
Meng, Zhiming, Li, Hui, Zhang, Zeyang, Shen, Zhongwei, Yu, Yunlong, Song, Xiaoning, Wu, Xiaojun
Generative models are widely utilized to model the distribution of fused images in the field of infrared and visible image fusion. However, current generative models based fusion methods often suffer from unstable training and slow inference speed. T
Externí odkaz:
http://arxiv.org/abs/2405.20764
Habitat loss, driven primarily by anthropogenic activity, significantly threatens ecosystem sustainability. While it is well understood that habitat loss is the leading contributor to declines in biodiversity worldwide, the connection between habitat
Externí odkaz:
http://arxiv.org/abs/2403.11200
Autor:
Righi, Robert, Shen, Zhongwei
In this paper we establish $W^{1,p}$ estimates for solutions $u_\varepsilon$ to Laplace's equation with the Dirichlet condition in a bounded and perforated, not necessarily periodically, $C^1$ domain $\Omega_{\varepsilon, \eta}$ in $\mathbb{R}^d$. Th
Externí odkaz:
http://arxiv.org/abs/2402.13021
Autor:
Geng, Jun, Shen, Zhongwei
We establish resolvent estimates in $L^q$ spaces for the Stokes operator in a bounded $C^1$ domain $\Omega$ in $\mathbb{R}^d$. As a corollary, it follows that the Stokes operator generates a bounded analytic semigroup in $L^q(\Omega; \mathbb{C}^d)$ f
Externí odkaz:
http://arxiv.org/abs/2401.03222