Mathematical Methods in Kinetic Theory

Mathematical Topics in Nonlinear Kinetic Theory II - The Enskog Equation

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Introduction to the Mathematical Theory of Kinetic Equations

Mesoscopic kinetic basis of macroscopic chemical thermodynamics: A mathematical theory.

Gibbs' macroscopic chemical thermodynamics is one of the most important theories in chemistry. Generalizing it to mesoscaled nonequilibrium systems is essential to biophysics. The nonequilibrium stochastic thermodynamics of chemical reaction kinetics suggested a free energy balance equation dF^{(meso)}/dt=E_{in}-e_{p} in which the free energy input rate E_{in} and dissipation rate e_{p} are bot...

Mathematical and computational methods in R-matrix theory

Mathematical Tools for Kinetic Equations

Since the nineteenth century, when Boltzmann formalized the concepts of kinetic equations, their range of application has been considerably extended. First introduced as a means to unify various perspectives on fluid mechanics, they are now used in plasma physics, semiconductor technology, astrophysics, biology.... They all are characterized by a density function that satisfies a Partial Differ...