Shock wave formation in Rosenau's extended hydrodynamics
Fluid Dynamics
2009-11-10 v1 Mathematical Physics
math.MP
Abstract
We study the extended hydrodynamics proposed by Philip Rosenau [Phys. Rev. A 40, 7193 (1989)] in the context of a regularization of the Chapman-Enskog expansion. We are able to prove that shock waves appear in finite time in Rosenau's extended Burgers' equation, and we discuss the physical implications of this fact and its connection with a possible extension of hydrodynamics to the short wavelength domain.
Cite
@article{arxiv.physics/0412178,
title = {Shock wave formation in Rosenau's extended hydrodynamics},
author = {Carlos Escudero},
journal= {arXiv preprint arXiv:physics/0412178},
year = {2009}
}