Affiliation:
1. Dipartimento di Matematica Università di Pisa Pisa Italy
2. Faculty of Science and Engineering Waseda University Tokyo Japan
3. Institute of Mathematics and Informatics Bulgarian Academy of Sciences Sofia Bulgaria
Abstract
AbstractThe work deals with the Ericksen–Leslie system for nematic liquid crystals on the space with . In our work, we suppose the initial condition stays on an arc connecting two fixed orthogonal vectors on the unit sphere. Thanks to this geometric assumption, we prove through energy a priori estimates the local existence and the global existence for small initial data of a solution
for , asking low regularity assumptions on and .
Funder
Waseda University
Università di Pisa
Bulgarian Academy of Sciences
Ministero dell'Università e della Ricerca
Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni