Zobrazeno 1 - 10
of 199
pro vyhledávání: '"Li, Guanghan"'
In this paper, an anisotropic volume-preserving mean curvature type flow for star-shaped anisotropic $\omega_0$-capillary hypersurfaces in the half-space is studied, and the long-time existence and smooth convergence to a capillary Wulff shape are ob
Externí odkaz:
http://arxiv.org/abs/2408.10740
In this paper, we develop a novel fast iterative moment method for the steady-state simulation of near-continuum flows, which are modeled by the high-order moment system derived from the Boltzmann-BGK equation. The fast convergence of the present met
Externí odkaz:
http://arxiv.org/abs/2403.07358
Autor:
Ding, Shanwei, Li, Guanghan
In this paper, we uncover an intriguing algebra property of an element symmetric polynomial. By this property, we establish the longtime existence and convergence of a locally constrained flow, thereby some families of geometric inequalities in spher
Externí odkaz:
http://arxiv.org/abs/2403.07281
Autor:
Gao, Jinyu, Li, Guanghan
We show the generalization of Hsiung-Minkowski integral formula for anisotropic capillary hypersurfaces in the half-space, which includes the weighted Hsiung-Minkowski formula and classical anisotropic Minkowski identity for closed hypersurfaces as s
Externí odkaz:
http://arxiv.org/abs/2401.12137
Autor:
Ding, Shanwei, Li, Guanghan
We consider a general curvature equation $F(\kappa)=G(X,\nu(X))$, where $\kappa$ is the principal curvature of the hypersurface $M$ with position vector $X$. It includes the classical prescribed curvature measures problem and area measures problem. H
Externí odkaz:
http://arxiv.org/abs/2307.14096
Autor:
Ding, Shanwei, Li, Guanghan
In this paper, we study the long-time existence and asymptotic behavior for a class of anisotropic inverse Gauss curvature flows. By the stationary solutions of anisotropic flows, we obtain some new existence results for the dual Orlicz Minkowski typ
Externí odkaz:
http://arxiv.org/abs/2209.04601
Autor:
Ding, Shanwei, Li, Guanghan
In this paper, we study the long-time existence and asymptotic behavior for a class of anisotropic non-homogeneous curvature flows without global forcing terms. By the stationary solutions of such anisotropic flows, we obtain existence results for a
Externí odkaz:
http://arxiv.org/abs/2207.03114
Autor:
Hu, Zhicheng, Li, Guanghan
We study efficient simulation of steady state for rarefied gas flow, which is modeled by the Boltzmann equation with BGK-type collision term. A nonlinear multigrid solver is proposed to resolve the efficiency issue by the following approaches. The un
Externí odkaz:
http://arxiv.org/abs/2206.13164
Autor:
Ding, Shanwei, Li, Guanghan
In this paper, we consider a large class of expanding flows of closed, smooth, star-shaped hypersurface in Euclidean space $\mathbb{R}^{n+1}$ with speed $\psi u^\alpha\rho^\delta f^{-\beta}$, where $\psi$ is a smooth positive function on unit sphere,
Externí odkaz:
http://arxiv.org/abs/2203.02165
With advances in optical sensor technology, heterogeneous camera systems are increasingly used for high-resolution (HR) video acquisition and analysis. However, motion transfer across multiple cameras poses challenges. To address this, we propose an
Externí odkaz:
http://arxiv.org/abs/2109.14174