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一类广义层流方程初值问题的整体适定性

Global Well-Posedness of Initial Value Problem for a Generalized Laminar Flow Model
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摘要 讨论了刻画层流问题中比重相近的层间相互作用的数学模型的初值问题.通过引进一类函数空间并证明该初值问题的解在所述空间上的一系列先验估计,得到了该初值问题在初值属于Hs(R)(s≥1)时的整体适定性. A initial value problem of a mathematical model of des cr ibing the interactions between laminar flows with the closer specific gravities is discussed.The global well-posedness of the initial value problem in H1( R) is obtianed by introducing some prior estimations and respect ive methods.
作者 郭定辉
出处 《应用数学》 CSCD 北大核心 2005年第2期297-302,共6页 Mathematica Applicata
关键词 非线性方程组 初值问题 整体适定性 先验估计 Systems of nonlinear partial differential equations Init ial problem Global well-posedness Prior estimate
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