无滑移的两相流模型的局部适定性  

The local well-posedness of no-slip model for two-phase flow

作　　者：夏水燕 魏龙[1] XIA Shuiyan;WEI Long(School of Sciences,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学理学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2023年第4期57-60,共4页Journal of Hangzhou Dianzi University：Natural Sciences

摘　　要：研究无滑移的两相流模型的解在Sobolev空间H^(s)(R)^(3)(s≥2)中的局部适定性。首先,运用经典的能量方法得出无滑移的两相流模型的解关于时间的一个先验估计;然后,采用标准近似方法得到解的存在性;最后,通过能量估计证明解的唯一性以及解对初值的连续依赖性。This paper proposes the local well-posedness of the solution of no-slip model for two-phase flow in Sobolev space H^(s)(R)^(3)(s≥2).Firstly,we derive the local-in-time a priori estimate of the solution of no-slip model for two-phase flow by using the classical energy method.And then,the existence of the solution by the standard approximation technique is gotten.Finally,the uniqueness and continuous dependence on initial values of the solution are proved via the energy estimate.

关 键 词：局部适定性 存在性 唯一性 

分 类 号：O175.2[理学—数学]