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On a Quasilinear Hyperbolic System Relative to an Atmospheric Model on the Transition of Water Defined on the Whole Space
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作者 steave c. selvaduray 《Journal of Mathematics and System Science》 2014年第9期637-655,共19页
In this paper we study a quasi-linear hyperbolic system, with some integral operators, arising from an atmospheric model on the transition of water. By using the method of characteristics and a fixed point argument, w... In this paper we study a quasi-linear hyperbolic system, with some integral operators, arising from an atmospheric model on the transition of water. By using the method of characteristics and a fixed point argument, we prove a theorem of existence, uniqueness and continuous dependence on data, in Lipschitz class, of the solution to this problem. 展开更多
关键词 Cauchy problem method of characteristics functional quasilinear system phase transition
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