Fixed point theory in fluid mechanics: an application to the stationary Navier–Stokes problem

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• 作者：Mondher Benjemaa ; Bilel Krichen…
• 关键词：Navier–Stokes equations ; Weak solution ; Sobolev spaces ; Fixed point theorem ; Weakly sequentially continuous operator
• 刊名：Journal of Pseudo-Differential Operators and Applications
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：8
• 期：1
• 页码：141-146
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Analysis; Operator Theory; Partial Differential Equations; Functional Analysis; Applications of Mathematics; Algebra;
• 出版者：Springer International Publishing
• ISSN：1662-999X
• 卷排序：8

文摘

This paper is concerned with a new proof of existence of weak solution for the Navier–Stokes problem, based on fixed point theory results under weak topology setting, without any assumption of smallness on the data \(\mathbb {F}\).