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1 个结果
  • 简介:Themainpurposeofthispaperistwo-fold:(i)togeneralizeanexistenceresultforacompressiblegas-liquidmodelwithafrictiontermrecentlypublishedbyFriisandEvje[SIAMJ.Appl.Math.,71(2011),pp.2014–2047];(ii)toderiveauniquenessresultforthesamemodel.Amainingredientintheexistencepartistheobservationthatwecanconsiderweakerassumptionsontheinitialliquidandgasmass,andstillobtainanexistenceresult.Comparedtotheabovementionedwork,werelyonamorerefinedapplicationoftheestimatesprovidedbythebasicenergyestimate.Concerningtheuniquenessresult,weborrowideasfromFangandZhang[NonlinearAnal.TMA,58(2004),pp.719–731]andderiveastabilityresultunderappropriateconstraintsonparametersthatdeterminerateofdecaytowardzeroattheboundaryforgasandliquidmasses,andgrowthrateofmassesassociatedwiththefrictiontermandviscouscoefficient.

  • 标签: 可压缩气体 石油钻井作业 体模型 适定性 深水 气液