科研之友
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摘要
In this paper, we establish the local well-posedness for the Cauchy problem of a simplified version of hydrodynamic flow of nematic liquid crystals in for any initial data (u (0), d (0)) having small -norm of . Here is the space of uniformly locally L (3)-integrable functions. For any initial data (u (0), d (0)) with small , we show that there exists a unique, global solution to the problem under consideration which is smooth for t %26gt; 0 and has monotone deceasing L (3)-energy for t %26gt;= 0.
- 出版日期2013-10
