Shock wave formation in Rosenau's extended hydrodynamics

Details Shock wave formation in Rosenau's extended hydrodynamics Shock wave formation in Rosenau's extended hydrodynamics

2004-12-30

arxiv.org/abs/physics/0412178v1

Physics

Fluid Dynamics

Scientific paper

10.1103/PhysRevE.71.047302

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.

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