Annals of Mathematics, SECOND SERIES, Vol. 183, No. 2 (March, 2016), pp. 377-498 (122 pages) The fundamental "two-fluid" model for describing plasma dynamics is given by the Euler–Maxwell system, in ...
Journal of Computational Mathematics, Vol. 35, No. 2 (March 2017), pp. 121-151 (31 pages) The Entropy-Ultra-Bee scheme was developed for the linear advection equation and extended to the Euler system ...
The compressible Euler equations form the cornerstone of fluid dynamics, describing the conservation of mass, momentum and energy in a compressible fluid. When augmented by damping effects, these ...
Transonic shock analysis occupies a central role in understanding fluid dynamics where flows transition between supersonic and subsonic regimes within Euler systems. In these scenarios, a shock ...