Published November 26, 2007
| Version v1
Journal article
Some new exact solutions for the two-dimensional Navier-Stokes equations
- 1. China Institute for Radiation Protection, PO Box 120 Taiyuan, Shanxi, Taiyuan 030006 (China)
- 2. State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029 (China)
- 3. China Institute of Atomic Energy, Beijing 102413 (China)
- 4. China Agriculture University, Beijing 100094 (China)
Description
In this Letter, under the precondition that the fluid movement satisfies the law of mass conservation, a two-dimensional Hopf-Cole transformation with mass conservation (2D Hopf-Cole transformation) is established. On the basis of 2D Hopf-Cole transformation, three exact solutions of two-dimensional Navier-Stokes equations (2D N-S equations) are presented. Some physical properties of the exact solutions of 2D N-S equations are described preliminarily
Availability note (English)
Available from http://dx.doi.org/10.1016/j.physleta.2007.06.047Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2007.06.047;
- PII
- S0375-9601(07)00902-4;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 371
- Journal Issue
- 5-6
- Journal Page Range
- p. 438-452
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39085296
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EXACT SOLUTIONS; FLUIDS; MASS; NAVIER-STOKES EQUATIONS; PHYSICAL PROPERTIES; TRANSFORMATIONS; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Copyright
- Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.