Transactions of the American Mathematical Society, Vol. 357, No. 6 (Jun., 2005), pp. 2133-2164 (32 pages) In this paper we introduce a coupled system of kinetic equations of B.G.K. type and then study ...

Within the class of nonlinear hyperbolic balance laws posed on a curved spacetime (endowed with a volume form), we identify a hyperbolic balance law that enjoys the same Lorentz invariance property as ...

The plots below illustrate the difference between computations on a moving mesh (left) and a fixed grid (right), both with the same number of grid points. The partial differential differential ...

The derivation of the dynamical equation of motion (EOM) for a system is a straight-forward application of what we have learned from Chapter 5 in using the Newton-Euler equations. The goal in deriving ...