Ground States for Beris - Edwards Model of Liquid Crystals

被引：0

作者：

Fortuna, Martino ^{[1
]}

Georgiev, Vladimir ^{[1
,2
,3
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, Largo B Pontecorvo 5, I-56100 Pisa, Italy

[2] Waseda Univ, Fac Sci & Engn, Shinjuku Ku, T 3-4-1 Okubo, Tokyo 1698555, Japan

[3] IMI BAS, Acad Georgi Bonchev Str,Block 8, Sofia 1113, Bulgaria

来源：

SEVENTH INTERNATIONAL CONFERENCE ON NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2020) | 2021年 / 2321卷

关键词：

EXISTENCE;

D O I：

10.1063/5.0041049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of ground states for the Beris-Edward system. Under reasonable symmetry assumption we prove the existence, regularity and decay property of the ground states. Using a linearization around these ground state solutions we study the corresponding Cauchy problem with small initial data. Some dispersive estimates for the perturbed linearized problem are established also.

引用

页数：9

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