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Partial Regularity of Suitable Weak Solutions to the System of the Incompressible Shear-thinning Flow

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摘要 This paper is devoted to the partial regularity of suitable weak solutions to the system of the incompressible shear-thinning flow in a bounded domainΩ■R^(n),n≥2.It is proved that there exists a suitable weak solution of the shear-thinning fluid in the n-D smooth bounded domain(for n≥2).For 3 D model,it is proved that the singular points are concentrated on a closed set whose 1 dimensional Hausdorff measure is zero.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2021年第2期348-363,共16页 应用数学学报(英文版)
基金 supported by the National Natural Science Foundation of China(Nos.11901025,11671027,11931010,11871047 and 11671384) by the key research project of Academy for Multidisciplinary Studies,Capital Normal University by the Capacity Building for Sci-Tech Innovation-Fundamental Scientific Research Funds(No.007/20530290068)。
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