dorsal/arxiv
View SchemaShock wave formation in Rosenau's extended hydrodynamics
| Authors | Carlos Escudero |
|---|---|
| Categories | |
| ArXiv ID | physics/0412178 |
| URL | https://arxiv.org/abs/physics/0412178 |
| DOI | 10.1103/PhysRevE.71.047302 |
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.
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"abstract": "We study the extended hydrodynamics proposed by Philip Rosenau [Phys. Rev. A\n40, 7193 (1989)] in the context of a regularization of the Chapman-Enskog\nexpansion. We are able to prove that shock waves appear in finite time in\nRosenau\u0027s extended Burgers\u0027 equation, and we discuss the physical implications\nof this fact and its connection with a possible extension of hydrodynamics to\nthe short wavelength domain.",
"arxiv_id": "physics/0412178",
"authors": [
"Carlos Escudero"
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"doi": "10.1103/PhysRevE.71.047302",
"title": "Shock wave formation in Rosenau\u0027s extended hydrodynamics",
"url": "https://arxiv.org/abs/physics/0412178"
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