Although the Boltzmann equation is the earliest and best known of the classic equations in kinetic theory, its weakness in modeling non-dilute gases has long been recognized. Some 85 years ago, Enskog proposed modifications for dense gases which generated more accurate transport coefficients than the Boltzmann equation. However, the Enskog equation does not model intermolecular potentials. We wish to outline some recent advances in improving the Enskog equation, and to highlight a number of problems which remain open.
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Greenberg, W. (2008). Existence Results and Open Problems in the Kinetic Theory of Dense Gases. In: Konaté, D. (eds) Mathematical Modeling, Simulation, Visualization and e-Learning. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74339-2_2
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