Galiean Invariant in fluid machanics

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1、PRACEIPPT·IFTRREPORTS7/2007SławomirPiekarskiGALILEAN-INVARIANTFORMULATIONOFTHEFLUIDMECHANICSINSTYTUTPODSTAWOWYCHPROBLEMÓWTECHNIKIPOLSKIEJAKADEMIINAUKWARSZAWA2007ISSN0208-5658ISBN978-83-89687-25-8RedaktorNaczelny:doc.drhab.ZbigniewKotulskiRecenzent:prof.drhab.MirosławLachowic

2、zPracawpłynęładoredakcji20marca2007r.InstytutPodstawowychProblemówTechnikiPANNakład100egz.Ark.wyd.6,5Oddanododrukuwlistopadzie2007r.Drukioprawa:DrukarniaBraciGrodzickich,ul.Geodetów47A,PiasecznoContentsPreface................................................................v1

3、.Introduction........................................................12.Navier–Stokes–Fourierequationsandthermostatics.Standardnotation..................................................113.Navier–Stokes–Fourierequationsandthermostatics.Invariantnotation......................

4、.............................334.Invariantformulationofthenon-relativisticdistributionfunction....435.Boltzmannequation.................................................516.Finalremarksandconclusions.......................................597.Summary...........................

5、................................63AppendixA.Finitedimensionalaffinespaces..........................65AppendixB.Differentialoperatorsonthefinitedimensionalaffinespace..................................73AppendixC.TheamorphousGalileanspace-time......................77AppendixD.TheGal

6、ileanspace-timewithmeasurabletimeintervals..81AppendixE.DirectsumofaffinespacesandtheBoltzmannkineticequation..........................85AppendixF.OnGalileaninvarianceoffluidmechanicsandthenon-relativistickinetictheory........................87Bibliography......................

7、....................................93Streszczenie...........................................................101ivPrefaceItseemsthatanapproach,discussedinthistext,startedin1991;thenthenotionsofthe“amorphousGalileanspace-time”andthe“Galileanspace-timewithmea-surabletimeinterv

8、als”havebeenintroducedinSÃlawianowski’smonograph[1]andthenotionofthe“non-re