Regularity of Minimizers of a Tensor-valued Variational Obstacle Problem in Three Dimensions

Geng, Zhiyuan; Tong, Jianliang

doi:10.48550/arxiv.1908.10889

2019

DOI: 10.48550/arxiv.1908.10889

|View full text |Cite

Preprint

Regularity of Minimizers of a Tensor-valued Variational Obstacle Problem in Three Dimensions

Zhiyuan Geng

Jianliang Tong

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2019

Publication Types

Select...

Other1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus, fS is only defined on Q phy . Readers are referred to [1,3,8,11] and references therein for results on variational problems with singular bulk potential modeling liquid crystal.…”

mentioning

confidence: 99%

Point defects in 2-D liquid crystals with singular potential: profiles and stability

Geng¹,

Wang²

2019

Preprint

Self Cite

View full text Add to dashboard Cite

We study radial symmetric point defects with degree k 2 in 2D disk or R 2 in Q-tensor framework with singular bulk energy, which is defined by Bingham closure. First, we obtain the existence of solutions for the profiles of radial symmetric point defects with degree k 2 in 2D disk or R 2 . Then we prove that the solution is stable for |k| = 1 and unstable for |k| > 1. Some identities are derived and used throughout the proof of existence and stability/instability.

show abstract

“…Thus, fS is only defined on Q phy . Readers are referred to [1,3,8,11] and references therein for results on variational problems with singular bulk potential modeling liquid crystal.…”

mentioning

confidence: 99%

Point defects in 2-D liquid crystals with singular potential: profiles and stability

Geng¹,

Wang²

2019

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Regularity of Minimizers of a Tensor-valued Variational Obstacle Problem in Three Dimensions

Cited by 1 publication

References 12 publications

Point defects in 2-D liquid crystals with singular potential: profiles and stability

Point defects in 2-D liquid crystals with singular potential: profiles and stability

Contact Info

Product

Resources

About