dorsal/arxiv
View SchemaRemarks on unsolved basic problems of the Navier-Stokes equations
| Authors | Alexander Rauh |
|---|---|
| Categories | |
| ArXiv ID | physics/0101027 |
| URL | https://arxiv.org/abs/physics/0101027 |
| Journal | Nonlinear Phenomena in Complex Systems, 2:3 (1999) 32-37 |
Abstract
There is renewed interest in the question of whether the Navier-Stokes equations (NSE), one of the fundamental models of classical physics and widely used in engineering applications, are actually self-consistent. After recalling the essential physical assumptions inherent in the NSE, the notion of weak solutions, possible implications for the energy conservation law, as well as existence and uniqueness in the incompressible case are discussed. Emphasis will be placed on the possibility of finite time singularities and their consequences for length scales which should be consistent with the continuum hypothesis.
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"abstract": "There is renewed interest in the question of whether the Navier-Stokes\nequations (NSE), one of the fundamental models of classical physics and widely\nused in engineering applications, are actually self-consistent. After recalling\nthe essential physical assumptions inherent in the NSE, the notion of weak\nsolutions, possible implications for the energy conservation law, as well as\nexistence and uniqueness in the incompressible case are discussed. Emphasis\nwill be placed on the possibility of finite time singularities and their\nconsequences for length scales which should be consistent with the continuum\nhypothesis.",
"arxiv_id": "physics/0101027",
"authors": [
"Alexander Rauh"
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"journal_ref": "Nonlinear Phenomena in Complex Systems, 2:3 (1999) 32-37",
"title": "Remarks on unsolved basic problems of the Navier-Stokes equations",
"url": "https://arxiv.org/abs/physics/0101027"
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