LARGE-TIME BEHAVIOR OF SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA

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摘要 Considerthesystem{vt-ux=0,ut+p(v,s)x=-αu,α>0,st=0,whichcanbeusedtomodeltheadiabaticgasflowthroughporousmedia.Herevisspecificvolume,udenotesvelocity,sstandsforentropy,pdenotespressurewithpv<0forv>0.Itisprovedthatthesolutionsof(1)tendtothoseofthefollowingnonlinearparabolicequationtime-asymptotically:{vt=-1/αp(v,s)xx;st=0,u=-1/αp(v,s)x.
机构地区 不详
出版日期 1995年04月14日(中国期刊网平台首次上网日期,不代表论文的发表时间)