Zobrazeno 1 - 10
of 162
pro vyhledávání: '"Wei, Yawei"'
This paper concerns the Cauchy problems for the nonlinear Rayleigh-Stokes equation and the corresponding system with time-fractional derivative of order $\alpha\in(0,1)$, which can be used to simulate the anomalous diffusion in viscoelastic fluids. I
Externí odkaz:
http://arxiv.org/abs/2407.18425
In this paper, we introduce the third party to achieve the Stackelberg equilibrium with the time inconsistency in three different Stackelberg games, which are the discrete-time games, the dynamic games, and the mean field games. Here all followers ar
Externí odkaz:
http://arxiv.org/abs/2407.18401
Autor:
Wei, Yawei, Zhou, Xiaodong
In this paper, we study the kernel of linear operator on a class of Grushin equation. We shall use the spherical coordinate systems and the separation of variables to deal with this problem. We obtain that the kernel space of the linear operator rela
Externí odkaz:
http://arxiv.org/abs/2407.18399
Autor:
Wei, Yawei, Zhou, Xiaodong
In this paper, we study Pohozaev identities, Kelvin transformation and their applications of semilinear Grushin equation. First, we establish two Pohozaev identities generated from translations and determine the location of the concentration point fo
Externí odkaz:
http://arxiv.org/abs/2404.11991
Autor:
Duan, Yubo, Wei, Yawei
In this paper, we consider the nonlinear equation involving the fractional p-Laplacian with sign-changing potential. This model draws inspiration from De Giorgi Conjecture. There are two main results in this paper. Firstly, we obtain that the solutio
Externí odkaz:
http://arxiv.org/abs/2404.08196
We study the wellposedness of the master equation for a second-order mean field games with the Grushin type diffusion. In order to do this, we obtain the properties of its solution by investigating a degenerate mean field games system for which there
Externí odkaz:
http://arxiv.org/abs/2404.08192
In this paper, we study the cone degenerate quasilinear elliptic equations. We provide the existence of the viscosity solutions by proving Alexandrov-Bakelman-Pucci and H\"older estimates. Further more, we give the comparison principle by an equivale
Externí odkaz:
http://arxiv.org/abs/2404.06372
In this paper, we consider a class of infinitely degenerate partial differential systems to obtain the Nash equilibria in the mean field games. The degeneracy in the diffusion and the Hamiltonian may be different. This feature brings difficulties to
Externí odkaz:
http://arxiv.org/abs/2311.10312
In this paper, we study a class of degenerate mean field game systems arising from the mean field games with H\"ormander diffusion, where the generic player may have a ``forbidden'' direction at some point. Here we prove the existence and uniqueness
Externí odkaz:
http://arxiv.org/abs/2308.10434
Autor:
Li, Dongjia, Xiao, Bo, Dai, Xinyi, Wang, Chao, Wei, Yawei, Chen, Haijun, Mai, Yi, Wu, Fuzhong, Wang, Jiexi
Publikováno v:
In Surface & Coatings Technology 15 August 2024 489