广义旋转Navier-Stokes方程解的整体适定性和解析性

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广义旋转Navier-Stokes方程解的整体适定性和解析性王伟华扬州大学数学科学学院扬州 225002 Global Well-posedness and Analyticity for the Generalized Rotating Navier-Stokes Equations Wei Hua WANGSchool of Mathematical Sciences, Yangzhou University, Yangzhou 225002, P. R. China

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摘要在α和q满足适当的条件下，当初值属于Fourier-Herz空间?_q^1-2α（R³）时，我们建立了广义3维不可压旋转Navier-Stokes方程温和解的整体适定性和解析性.作为推论，我们也给出了广义Navier-Stokes方程的相应结论.

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收稿日期: 2019-07-17

MR (2010):

O177.2

基金资助:国家自然科学基金（11771423，11871452）；中国国家自然科学基金委员会与韩国国家研究基金会联合资助合作交流项目（1191101060）；江苏省高等学校自然科学研究面上项目（19KJD100007）

作者简介: 王伟华,E-mail:wangvh@163.com

引用本文:

王伟华. 广义旋转Navier-Stokes方程解的整体适定性和解析性[J]. 数学学报, 2020, 63(5): 417-426. Wei Hua WANG. Global Well-posedness and Analyticity for the Generalized Rotating Navier-Stokes Equations. Acta Mathematica Sinica, Chinese Series, 2020, 63(5): 417-426.

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