Density evolution by the low-field limit of kinetic frameworks with thermostat and mutations

作者：Bianca Carlo^*; Lemarchand Annie

来源：Communications in Nonlinear Science & Numerical Simulation, 2015, 20(1): 14-23.

DOI：10.1016/j.cnsns.2014.05.009

• Kinetic theory
• Low-field scaling
• Integro-differential equation
• Nonlinearity
• Diffusion

This paper is concerned with an asymptotic limit of a thermostatted kinetic framework which can be proposed for the modeling of complex biological and chemical systems where proliferative/destructive/mutative interactions and random velocity-jump processes occur. Specifically the macroscopic equations fulfilled by the local and global densities of the system are obtained by performing an asymptotic limit of a low-field rescaling of a kinetic framework with a thermostat and mutative interactions.

• 出版日期2015-1