Kinetic Equations
Boltzmann, Vlasov, and Landau equations.
Kinetic Equations. Boltzmann, Vlasov, and Landau equations.
Foundations and canonical references
The standard treatments of kinetic equations approach the subject from complementary angles. Cercignani, The Mathematical Theory of Dilute Gases (1994) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for kinetic equations include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1994The Mathematical Theory of Dilute Gasescercignani-1994, illner-1994, pulvirenti-1994
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