Kinetic theory of simple reacting spheres I

• Author(s): Polewczak, Jacek ; Soares, A. J.
• Date: 2011
• Persistent ID: http://hdl.handle.net/1822/11157
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Kinetic theory of gas mixtures; Chemical reactions; Hard-sphere systems; Existence results
• Document Type: Conference Object
• Language: English

Description

We consider physical and mathematical aspects of the model of simple reacting spheres (SRS) in the kinetic theory of chemically reacting fluids. The SRS, being a natural extension of the hard--sphere collisional model, reduces itself to the revised Enskog theory when the chemical reactions are turned off. In the dilute--gas limit, it provides an interesting kinetic model of chemical reactions that has not been considered before. In contrast to other reactive kinetic theories (e.g., line-of-centers models), the SRS has built-in detailed balance and microscopic reversibility conditions. The mathematical analysis of the work consists of global existence result for the system of partial differential equations for the model of SRS.