Acta mathematica scientia,Series B ›› 1997, Vol. 17 ›› Issue (1): 22-34.
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Yi Fahuai
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Abstract: In this paper we consider an evolutionary continuous casting problem with convection∂tx+b∂yx-△k(u)+v·▽u=0 coupled with Stokes equation in the liquid phase∂tv-ν△v+▽p=f(u) The 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.
Key words: Boussinesq-Stefan problem, continuous extraction, nonstationary
Yi Fahuai. THE BIDIMENSIONAL EVOLUTIONARY BOUSSINESQ-STEFAN PROBLEM WITH CONTINUOUS EXTRACTION[J].Acta mathematica scientia,Series B, 1997, 17(1): 22-34.
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