Back to Search
Start Over
A global 2D well-posedness result on the order tensor liquid crystal theory.
- Source :
-
Journal of Differential Equations . Apr2017, Vol. 262 Issue 7, p3932-3979. 48p. - Publication Year :
- 2017
-
Abstract
- In [18] Paicu and Zarnescu have studied an order tensor system which describes the flow of a liquid crystal. They have proven the existence of weak solutions, the propagation of higher regularity, namely H s with s > 1 and the weak-strong uniqueness in dimension two. This paper is devoted to fill the gap of their results, namely to propagate the low regularity, namely H s for 0 < s < 1 and to prove the uniqueness of the weak solutions. For the completeness of this research, we also propose an alternative approach in order to prove the existence of weak solutions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 262
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 120887900
- Full Text :
- https://doi.org/10.1016/j.jde.2016.12.006