Global well-posedness of classical solutions to the compressible Navier–Stokes equations in a half-space |
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| Authors: | Qin Duan |
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| Institution: | 1. College of Mathematics and Computational Science, Shenzhen University, China;2. The Institute of Mathematical Sciences, The Chinese University of Hong Kong, China |
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| Abstract: | In this paper, we establish the global well-posedness of classical solutions to the half-space problem with the boundary condition proposed by Navier for the isentropic compressible Navier–Stokes equations in three spatial dimensions. Initial data are of small energy but possibly large oscillations. |
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