Zobrazeno 1 - 10
of 277
pro vyhledávání: '"Wang, Kaizhi"'
On a smooth closed manifold $M$, we introduce a novel theory of maximal slope curves for any pair $(\phi,H)$ with $\phi$ a semiconcave function and $H$ a Hamiltonian. By using the notion of maximal slope curve from gradient flow theory, the intrinsic
Externí odkaz:
http://arxiv.org/abs/2409.00961
This paper concerns with the time periodic viscosity solution problem for a class of evolutionary contact Hamilton-Jacobi equations with time independent Hamiltonians on the torus $\mathbb{T}^n$. Under certain suitable assumptions we show that the eq
Externí odkaz:
http://arxiv.org/abs/2310.13903
In recent years, with the rapid development of electro-optic modulators, optical computing has become a potential excellent candidate for various computing tasks. New structures and devices for optical computing are emerging one after another, but th
Externí odkaz:
http://arxiv.org/abs/2309.10232
Publikováno v:
In Chemical Engineering Journal 15 October 2024 498
Publikováno v:
In Chemical Engineering Journal 15 October 2024 498
We are concerned with the existence and multiplicity of nontrivial time-periodic viscosity solutions to \[ \partial_t w(x,t) + H( x,\partial_x w(x,t),w(x,t) )=0,\quad (x,t)\in \mathbb{S} \times [0,+\infty). \] We find that there are infinitely many n
Externí odkaz:
http://arxiv.org/abs/2112.14896
Autor:
Iturriaga, Renato, Wang, Kaizhi
We provide an approximation scheme for first-order stationary mean field games with a separable Hamiltonian. First, we discretize Hamilton-Jacobi equations by discretizing in time, and then prove the existence of minimizing holonomic measures for mea
Externí odkaz:
http://arxiv.org/abs/2111.11972
We study the Hamilton-Jacobi equations $H(x,Du,u)=0$ in $M$ and $\partial u/\partial t +H(x,D_xu,u)=0$ in $M\times(0,\infty)$, where the Hamiltonian $H=H(x,p,u)$ depends Lipschitz continuously on the variable $u$. In the framework of the semicontinuo
Externí odkaz:
http://arxiv.org/abs/2108.11216
Autor:
Han, Yiwei, Wang, Kaizhi, Lu, Jianyang, Liang, Qizhi, Zeng, Yujing, Xu, Dongyu, Yang, Jie, Wang, Zhaoxia, Li, Genxi
Publikováno v:
In Sensors and Actuators: B. Chemical 1 July 2024 410
Autor:
Wang, Kaizhi, Yan, Jun
This paper deals with the generalized ergodic problem \[ H(x,u(x),Du(x))=c, \quad x\in M, \] where the unknown is a pair $(c,u)$ of a constant $c \in \mathbb{R}$ and a function $u$ on $M$ for which $u$ is a viscosity solution. We assume $H=H(x,u,p)$
Externí odkaz:
http://arxiv.org/abs/2107.11554