期刊
ACTA APPLICANDAE MATHEMATICAE
卷 139, 期 1, 页码 1-24出版社
SPRINGER
DOI: 10.1007/s10440-014-9967-z
关键词
Dynamical systems; Thermostats; Nonlinearity; Low-field and high-field scaling; Macroscopic equation
资金
- L'Agence Nationale de la Recherche (ANR T-KiNeT Project)
This paper is concerned with the asymptotic analysis of space-velocity dependent thermostatted kinetic frameworks which include conservative, nonconservative and stochastic operators. The mathematical frameworks are integro-partial differential equations that can be proposed for the modeling of most phenomena occurring in biological and chemical systems. Specifically the paper focuses on the derivation of macroscopic equations obtained by performing a low-field and a high-field scaling into the thermostatted kinetic framework and considering the related convergence when the scaling parameter goes to zero. In the low-field limit, the macroscopic equations show diffusion with respect to both the space variable and a scalar variable that is introduced for the modeling of the strategy of the particle system. In the high-field limit, the macroscopic equations show hyperbolic behavior. The asymptotic analysis is also generalized to systems decomposed in various functional subsystems.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据