Well-posedness in critical spaces for incompressible viscoelastic fluid system

被引：42
|
作者：
Qian, Jianzhen [1 ,2 ]
机构：
[1] Peking Univ, LAMA, Beijing 100871, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 06期
关键词：
Local well-posedness; Global small solutions; Besov space; Oldroyd model; GLOBAL EXISTENCE;
D O I：
10.1016/j.na.2009.12.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the well-posedness in critical spaces of incompressible viscoelastic fluid system of Oldroyd model. Precisely, for this system with initial data in Besov space of critical regularity, we prove the existence and uniqueness of the local solution, which is also shown to exist globally in time provided the initial data is small under certain norms. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：3222 / 3234
页数：13
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