COMPARISON OF STABILITY BETWEEN NAVIER-STOKES AND EULER EQUATIONS

SHI Wei-hui;WANG Yue-peng;SHEN Chun

doi:10.1007/s10483-006-0913-y

Applied Mathematics and Mechanics >

2006 , Vol. 27 >Issue 9: 1257 - 1263

DOI: https://doi.org/10.1007/s10483-006-0913-y

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COMPARISON OF STABILITY BETWEEN NAVIER-STOKES AND EULER EQUATIONS

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1. Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China;
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
3. Department of Mathematics, Nanjing University of Information Science & Technology, Nanjing 210044, P. R. China;
4. School of Mathematics and Information, Yantai Normal University, Yantai 264025, Shandong Province, P. R. China

Received date: 2005-10-21

Revised date: 2006-05-27

Online published: 2006-09-18

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Abstract

The stability about Navier-Stokes equation and Euler equation was brought into comparison. And by taking their typical initial value problem for example, the reason of leading to the difference in stability between Navier-Stokes equation and Euler equation was also analyzed.

Key words： Navier-Stokes equation; Euler equation; stable equation; singular equation

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SHI Wei-hui;WANG Yue-peng;SHEN Chun . COMPARISON OF STABILITY BETWEEN NAVIER-STOKES AND EULER EQUATIONS[J]. Applied Mathematics and Mechanics, 2006 , 27(9) : 1257 -1263 . DOI: 10.1007/s10483-006-0913-y

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