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ON INTEGRABILITY UP TO THE BOUNDARY OF THE WEAK SOLUTIONS TO A NON-NEWTONIAN FLUID 被引量:1

ON INTEGRABILITY UP TO THE BOUNDARY OF THE WEAK SOLUTIONS TO A NON-NEWTONIAN FLUID
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摘要 This work consider boundary integrability of the weak solutions of a non-Newtonian compressible fluids in a bounded domain in dimension three, which has the constitutive equartions as ■The existence result of weak solutions can be get based on Galerkin approximation. With the linear operator B constructed by BOGOVSKII, we show that the density ■is square integrable up to the boundary. This work consider boundary integrability of the weak solutions of a non-Newtonian compressible fluids in a bounded domain in dimension three, which has the constitutive equartions as ■The existence result of weak solutions can be get based on Galerkin approximation. With the linear operator B constructed by BOGOVSKII, we show that the density ■ is square integrable up to the boundary.
作者 郭闪闪 谭忠 Shanshan GUO;Zhong TAN
出处 《Acta Mathematica Scientia》 SCIE CSCD 2019年第2期420-428,共9页 数学物理学报(B辑英文版)
基金 supported by the National Natural Science Foundation of China(11271305,11531010)
关键词 COMPRESSIBLE fluid WEAK SOLUTIONS non-Newtonian FLUIDS INTEGRABILITY compressible fluid weak solutions non-Newtonian fluids integrability
分类号 O [理学]
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