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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 16 > No. 5

 
   

A Nonconservative-Thermostat Kinetic Theory Framework: Density and Linear-Momentum Evolution

PP: 681-687
doi:10.18576/amis/160503
Author(s)
Carlo Bianca, Marco Menale,
Abstract
This paper is firstly devoted to the derivation of a new mathematical framework of the thermostatted kinetic theory for active particles with continuous activity variable. Specifically the thermostat operator is modified in order to take into account the role of the nonconservative interactions occuring among the particles of a complex biological system. The time evolution of the density of the system and of the linear-momentum are afterwards derived by employing the method of separation of variables. The new framework opens to further research perspectives and applications from the theoretical and modeling viewpoints.

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