The Cauchy problem for the liquid crystals system in the critical Besov space with negative index

Title:

The Cauchy problem for the liquid crystals system in the critical Besov space with negative index

Creator:

Ming, Sen, Yang, Han, Chen, Zili, and Yong, Ls

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:08cdc483-e9e3-48bd-a108-15d54d80f1ab
uuid:08cdc483-e9e3-48bd-a108-15d54d80f1ab
issn:0011-4642

Subject:

matematika, mathematics, systém kapalných krystalů, záporný index, liquid crystals system, critical Besov space, negative index, well-posedness, blow-up, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

The local well-posedness for the Cauchy problem of the liquid crystals system in the critical Besov space is established by using the heat semigroup theory and the Littlewood-Paley theory. The global well-posedness for the system is obtained with small initial datum by using the fixed point theorem. The blow-up results for strong solutions to the system are also analysed., Sen Ming, Han Yang, Zili Chen, Ls Yong., and Obsahuje bibliografii

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

37-55

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:1

Harvested from:

CDK

Metadata only:

false