Zobrazeno 1 - 10
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pro vyhledávání: '"Li, Xiaoliang"'
We establish a theoretical framework of the particle relaxation method for uniform particle generation of Smoothed Particle Hydrodynamics. We achieve this by reformulating the particle relaxation as an optimization problem. The objective function is
Externí odkaz:
http://arxiv.org/abs/2403.00623
Autor:
Ciraolo, Giulio, Li, Xiaoliang
Given $N\geq 2$, we completely classify the solutions of the anisotropic $N$-Liouville equation $$-\Delta_N^H\,u=e^u \quad\text{in }\mathbb{R}^N,$$ under the finite mass condition $\int_{\mathbb{R}^N} e^u\,dx<+\infty$. Here $\Delta_N^H$ is the so-cal
Externí odkaz:
http://arxiv.org/abs/2306.12039
A hybrid Eulerian-Lagrangian method is proposed to simulate passive scalar transport on arbitrary shape interface. In this method, interface deformation is tracked by an Eulerian method while the transport of the passive scalar on the material interf
Externí odkaz:
http://arxiv.org/abs/2304.09550
Since Kopel's duopoly model was proposed about three decades ago, there are almost no analytical results on the equilibria and their stability in the asymmetric case. The first objective of our study is to fill this gap. This paper analyzes the asymm
Externí odkaz:
http://arxiv.org/abs/2304.02136
Autor:
Li, Xiaoliang, Chen, Kongyan
In this paper, we investigate the equilibria and their stability in an asymmetric duopoly model of Kopel by using several tools based on symbolic computations. We explore the possible positions of the equilibria in Kopel's model. We discuss the possi
Externí odkaz:
http://arxiv.org/abs/2301.12628
In this paper, we explore the dynamics of two monopoly models with knowledgeable players. The first model was initially introduced by Naimzada and Ricchiuti, while the second one is simplified from a famous monopoly introduced by Puu. We employ sever
Externí odkaz:
http://arxiv.org/abs/2301.01497
Autor:
Li, Xiaoliang, Li, Bo
In this paper, we explore a dynamic Bertrand duopoly game with differentiated products, where firms are boundedly rational and consumers are assumed to possess an underlying CES utility function. We mainly focus on two distinct degrees of product sub
Externí odkaz:
http://arxiv.org/abs/2301.01007
Influence of rationality levels on dynamics of heterogeneous Cournot duopolists with quadratic costs
Autor:
Li, Xiaoliang, Jiang, Yihuo
This paper is intended to investigate the dynamics of heterogeneous Cournot duopoly games, where the first players adopt identical gradient adjustment mechanisms but the second players are endowed with distinct rationality levels. Based on tools of s
Externí odkaz:
http://arxiv.org/abs/2212.07128
Autor:
Li, Xiaoliang, Wang, Cong
We treat the exterior Dirichlet problem for a class of fully nonlinear elliptic equations of the form $$f(\lambda(D^2u))=g(x),$$ with prescribed asymptotic behavior at infinity. The equations of this type had been studied extensively by Caffarelli--N
Externí odkaz:
http://arxiv.org/abs/2205.08137
In this paper, we consider the exterior Dirichlet problem for Hessian quotient equations with the right hand side $g$, where $g$ is a positive function and $g=1+O(|x|^{-\beta})$ near infinity, for some $\beta>2$. Under a prescribed generalized symmet
Externí odkaz:
http://arxiv.org/abs/2205.07200