Article ID Journal Published Year Pages File Type
468193 Computers & Mathematics with Applications 2013 5 Pages PDF
Abstract

This article addresses the hydrodynamic limit of the Boltzmann equation, namely the compressible Euler equations of gas dynamics. An exact summation of the Chapman–Enskog expansion originally given by Gorban and Karlin is the key to the analysis. An appraisal of the role of viscosity and capillarity in the limiting process is then given where the analogy is drawn to the limit of the Korteweg–de Vries–Burgers equations as a small parameter tends to zero.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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