Stability of Rarefaction Wave for Compressible Navier-Stokes Equations on the Half Line-中国期刊网

摘要 Thispaperisconcernedwiththelarge-timebehaviorofsolutionstoaninitial-boundary-valueproblemforfullcompressibleNavier-Stokesequationsonthehalfline(0,∞),whichisnamedimpermeablewallproblem.Itisshownthatthe3-rarefactionwaveisstableunderpartiallylargeinitialperturbationiftheadiabaticexponentγiscloseto1.Herepartiallylargeinitialperturbationmeansthattheperturbationofabsolutetemperatureissmall,whiletheperturbationsofspecificvolumeandvelocitycanbelarge.Theproofisgivenbytheelementaryenergymethod.

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Stability of Rarefaction Wave for Compressible Navier-Stokes Equations on the Half Line

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Stability of Rarefaction Wave for Compressible Navier-Stokes Equations on the Half Line

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