| THE BIDIMENSIONAL EVOLUTIONARYBOUSSINESQ-STEFAN PROBLEM WITH CONTINUOUS EXTRACTION |
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| 作者姓名： | 易法槐 |
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| 作者单位： | Dept. of Mathematics，Suzhou Univ.，Suzhou B15006，China |
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| 摘 要： | 1IntroductionTheaimofthispaperistoextelldtotheevolutionarycasesomeresultobtainedbyJ.F.RDdriguesinl]aboutthesteady-stateBoussinesq-Stefanproblem.AtthesametimeitistoextendtothecontinuouscastingproblemsomeresultobtainedbyJ.R.Cannonetal.in2]abouttheStefanproblemwithconvection.TheevolutionaryBossinesq-Stefanproblemisamodeldescribingthesolidfficationwithconvectionofamaterial(ingotOfsteelisanex~le)beingcastcontinuouslywithaprexcribedvelocityinacylindricaldomainQ=rx(0,l)eR",n=2,3,where0
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THE BIDIMENSIONAL EVOLUTIONARY BOUSSINESQ-STEFAN PROBLEM WITH CONTINUOUS EXTRACTION |
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| Yi Fahuai.THE BIDIMENSIONAL EVOLUTIONARYBOUSSINESQ-STEFAN PROBLEM WITH CONTINUOUS EXTRACTION[J].Acta Mathematica Scientia,1997(1). |
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| Authors: | Yi Fahuai |
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| Abstract: | In this paper we consider an evolutionary continuous casting problem with convectioncoupled with Stokes equation in the liquid phaseThe mixed boundary condition is put on temprature. The existence of a weak solution is obtained by using methods of regularization, temperature dependent penalty form in the Stokes equation and compact arguments. |
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| Keywords: | Boussinesq-Stefan problem continuous extraction nonstationary |
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