In the present paper, the local well-posedness of the incompressible viscoelastic fluid system in the whole space is proved under the following assumption on the initial data: the deformation tensor is Hölder continuous and the velocity is Lp integrable, p > d, where d is the space dimension.
机构:
Peking Univ, LAMA, Beijing 100871, Peoples R China
Peking Univ, Sch Math Sci, Beijing 100871, Peoples R ChinaPeking Univ, LAMA, Beijing 100871, Peoples R China
机构:
North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Henan, Peoples R ChinaNorth China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450011, Henan, Peoples R China
机构:
South China Agr Univ, Dept Appl Math, Guangzhou 510642, Guangdong, Peoples R ChinaSouth China Agr Univ, Dept Appl Math, Guangzhou 510642, Guangdong, Peoples R China
Qiu, Hua
Shao, Shuguang
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机构:
Nanyang Normal Univ, Sch Math & Stat, Nanyang 473061, Peoples R ChinaSouth China Agr Univ, Dept Appl Math, Guangzhou 510642, Guangdong, Peoples R China