ON THE EXISTENCE OF NONTRIVIAL SOLUTIONS FOR A SCALAR LIGHT-NEMATIC SYSTEM AND ITS FREDERIKS TRANSITION THRESHOLD

Authors
WANG XP
Citation
Xp. Wang, ON THE EXISTENCE OF NONTRIVIAL SOLUTIONS FOR A SCALAR LIGHT-NEMATIC SYSTEM AND ITS FREDERIKS TRANSITION THRESHOLD, SIAM journal on applied mathematics (Print), 58(6), 1998, pp. 1852-1861
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on applied mathematics (Print) → ACNP
ISSN journal
00361399
Volume
58
Issue
6
Year of publication
1998
Pages
1852 - 1861
Database
ISI
SICI code
0036-1399(1998)58:6<1852:OTEONS>2.0.ZU;2-K
Abstract
We study the existence of nontrivial solutions for a paraxial model fo r optical self-focusing in a nematic liquid crystal. We prove that the re exists a threshold input intensity called Frederiks transition, abo ve which a nontrivial solution exists.