Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Zhang, Yuming Paul"'
We study the policy iteration algorithm (PIA) for entropy-regularized stochastic control problems on an infinite time horizon with a large discount rate, focusing on two main scenarios. First, we analyze PIA with bounded coefficients where the contro
Externí odkaz:
http://arxiv.org/abs/2406.00612
This paper investigates the spreading properties of globally defined bounded positive solutions of a chemotaxis system featuring a logistic source and consumption: \[ \left\{ \begin{aligned} &\partial_tu=\Delta u - \chi\nabla\cdot(u\nabla v)+ u(a-bu)
Externí odkaz:
http://arxiv.org/abs/2405.19428
Autor:
Tong, Jiajun, Zhang, Yuming Paul
We investigate the general Porous Medium Equations with drift and source terms that model tumor growth. Incompressible limit of such models has been well-studied in the literature, where convergence of the density and pressure variables are establish
Externí odkaz:
http://arxiv.org/abs/2403.05804
While much literature on chemotaxis systems focuses on bounded domains, this paper emphasizes the global existence of classical solutions for three primary chemotaxis systems with a logistic source on $\mathbb{R}^n$. We present a unified proof demons
Externí odkaz:
http://arxiv.org/abs/2310.16001
Autor:
Tang, Wenpin, Zhang, Yuming Paul
Motivated by numerical challenges in first-order mean field games (MFGs) and the weak noise theory for the Kardar-Parisi-Zhang equation, we consider the problem of vanishing viscosity approximations for MFGs. We provide the first results on the conve
Externí odkaz:
http://arxiv.org/abs/2303.14560
This paper is concerned with the convergence rate of policy iteration for (deterministic) optimal control problems in continuous time. To overcome the problem of ill-posedness due to lack of regularity, we consider a semi-discrete scheme by adding a
Externí odkaz:
http://arxiv.org/abs/2301.00419
This paper is concerned with the problem of budget control in a large particle system modeled by stochastic differential equations involving hitting times, which arises from considerations of systemic risk in a regional financial network. Motivated b
Externí odkaz:
http://arxiv.org/abs/2212.08518
Autor:
Kim, Inwon, Zhang, Yuming Paul
In this paper we study the regularity property of Hele-Shaw flow, where source and drift are present in the evolution. More specifically we consider H\"{o}lder continuous source and Lipschitz continuous drift. We show that if the free boundary of the
Externí odkaz:
http://arxiv.org/abs/2210.14274
Publikováno v:
In Journal of Differential Equations 25 December 2024 413:497-556
Autor:
Zhang, Yuming Paul, Zlatos, Andrej
We prove stochastic homogenization for reaction-advection-diffusion equations with random space-time-dependent KPP reactions with temporal correlations that are decaying in an appropriate sense. We show that the limiting homogenized dynamic has the s
Externí odkaz:
http://arxiv.org/abs/2202.08254