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 June 9, 2003, 09:37 G-Invariance---->urgent help please #1 xiang Guest   Posts: n/a what is the meaning of Galilei Inveriance ? please help to explain it....

 June 9, 2003, 10:19 Re: G-Invariance---->urgent help please #2 Tom Guest   Posts: n/a It's an expression of Newtons first law; i.e. the equivalence of inertial frames. This basically means that the equations of motion must be the same in all inertial frames. If we have two inertial frames one at rest x and another moving at constant velocity c with respect to x, X say, then X = x - ct The velocity v measured in frame x is then V=v-c in frame X. The equations of motion in frame X is obtained from that in frame x by replacing x,v with X,V. This is Galilean invariance. It's VERY basic physics.

 June 9, 2003, 10:39 Re: G-Invariance---->urgent help please #3 xiang Guest   Posts: n/a the problem it's VERY BasiC PhysicS thanks Tom

 June 9, 2003, 12:29 Re: G-Invariance---->urgent help please #4 A.S. Guest   Posts: n/a Hi, Can you suggest some literature or book specially for Navier-Stoke equation. Regards

 June 10, 2003, 04:31 Re: G-Invariance---->urgent help please #5 Tom Guest   Posts: n/a It depends on your background and what you want to know. (I'm a mathematician and so the following are rather biased): A good basic text is Elementary fluid dynamics bt David Acheson (Oxford University Press) An introduction to fluid dynamics by Paterson (Cambridge University Press) is also a reasonable book. If you have a more physics based background then An introduction to fluid dynamis by G.K. Batchelor (Cambridge University Press) is probably a good place to start. Hydrodynamics by Lamb (Cambridge/Dover?) is also worth a look (although it's pre-tensor analysis) as are Theoretical hydrodynamics and Theoretical aerodynamics both by Milne-Thompson and published by Dover. For more rigorous discussion try Applied analysis of the Navier-Stokes equations by Doering and Gibbon (Cambridge Unversity Press) or, if you can find it, The mathematical theory of incompressible viscous flow by O.A. Ladyzhenskaya There's also a two volume set by Pierre-Louis Lions (Oxford University Press) but I haven't seen these (yet) and various books by Roger Temam.

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