Shock-wave formation in Rosenau's extended hydrodynamics.
We study the extended hydrodynamics proposed by 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.
Escudero
Carlos
C
Departamento de Física Fundamental, Universidad Nacional de Educación a Distancia, C/Senda del Rey 9, 28040 Madrid, Spain.