Beris-Edward's model with absence of flow

Daniele Barbera*, Vladimir Georgiev

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The article treats the Beris-Edward's Model for liquid crystals with absence of flow. In particular, we consider the case of energy functionals unbounded from below. At the beginning we prove the existence of ground states for the stationary problem set in several open sets and with different boundary conditions. The last part is devoted to the evolution problem in ℝ3, where we establish local and global existence with small initial data. The results come from several applications of Strichartz-type estimates and by contraction arguments.

Original languageEnglish
Title of host publication8th International Conference New Trends in the Applications of Differential Equations in Sciences, NTADES 2021
EditorsAngela Slavova
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735441866
DOIs
Publication statusPublished - 2022 Apr 5
Event8th International Conference New Trends in the Applications of Differential Equations in Sciences, NTADES 2021 - St. Constantin and Helena, Bulgaria
Duration: 2021 Sep 62021 Sep 10

Publication series

NameAIP Conference Proceedings
Volume2459
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference8th International Conference New Trends in the Applications of Differential Equations in Sciences, NTADES 2021
Country/TerritoryBulgaria
CitySt. Constantin and Helena
Period21/9/621/9/10

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'Beris-Edward's model with absence of flow'. Together they form a unique fingerprint.

Cite this