The existence of strong solutions to steady motion of electrorheological fluids in 3D cubic domain

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• 作者：Cholmin Sin ^{cmsin15@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Strong solution ; Global regularity ; Electrorheological fluid ; Variable exponent
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：445
• 期：1
• 页码：1025-1046
• 全文大小：481 K

文摘

In this paper, we prove the existence of strong solutions to steady motion of electrorheological fluids without restriction on a smallness of external force in 3D cubic domain. And we improve the lower bound on e24" title="Click to view the MathML source">p(x)$p(x)$ for regularity of solutions to the problem neglecting convective term even if e24" title="Click to view the MathML source">p(x)$p(x)$ is a constant.