An Introduction to Navier-Stokes Equation ...

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Luc Tartar & 著
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齣版社: Springer
ISBN:9783540357438
商品編碼:1078585539
包裝:平裝
外文名稱:An Introduction to Nav...
齣版時間:2006-09-01
頁數:247
正文語種:英語

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圖書基本信息

An Introduction to Navier-Stokes Equation and Oceanography
作者: Luc Tartar;
ISBN13: 9783540357438
類型: 平裝(簡裝書)
語種: 英語(English)
齣版日期: 2006-09-01
齣版社: Springer
頁數: 247
重量(剋): 390
尺寸: 23.3934 x 15.5956 x 1.4732 cm

商品簡介
In the spring of 1999, I taught (at CARNEGIEMELLON University) a graduate course entitled Partial Di?erential Equations Models in Oceanography, and I wrote lecture notes which I distributed to the students; these notes were then made available on the Internet, and they were distributed to the participants of a Summer School held in Lisbon, Portugal, in July 1999. After a few years, I feel it will be useful to make the text available to a larger audience by publishing a revised version. To an uninformed observer, it may seem that there is more interest in the Navier-Stokes equation nowadays, but many who claim to be interested show such a lack of knowledge about continuum mechanics that one may wonder about such a super?cial attraction. Could one of the Clay Millennium Prizes bethereasonbehindthisrenewedinterest?Readingthetextoftheconjectures to be solved for winning that particular prize leaves the impression that the subject was not chosen by people interested in continuum mechanics, as the selected questions have almost no physical content. Invariance by translation or scaling is mentioned, but why is invariance by rotations not pointed out 1 andwhyisGalileaninvariance omitted, asitistheessentialfactwhichmakes 1 Velocities involved for ordinary ?uids being much smaller than the velocity of light c, no relativistic corrections are necessary and Galilean invariance should then be used, but one should be aware that once the mathematical equation has been written it is not automatic that its solutions will only use velocities bounded by c.

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