Local weak solutions of the isentropic compressible Navier-Stokes equations in a half-space

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作者
Qin Duan [1 ]
Xiangdi Huang [2 ,3 ]
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[1] College of Mathematics and Statistics, Shenzhen University
[2] Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
[3] Hua Loo-Keng Center for Mathematical Sciences, Chinese Academy of
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摘要
In this paper, we establish the local existence of weak solutions with higher regularity of the threedimensional half-space compressible isentropic Navier-Stokes equations with the adiabatic exponent γ > 1 in the presence of vacuum. Here we do not need any smallness of the initial data.
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页数:10
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