TIME PERIODIC SOLUTION TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN A PERIODIC DOMAIN |
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Authors: | Chunhua JIN;Tong YANG |
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Institution: | Chunhua JIN;Tong YANG;School of Mathematical Sciences, South China Normal University;-Department of Mathematics,City University of Hong Kong; |
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Abstract: | This article is concerned with the time periodic solution to the isentropic compressible Navier-Stokes equations in a periodic domain. Using an approach of parabolic regularization, we first obtain the existence of the time periodic solution to a regularized problem under some smallness and symmetry assumptions on the external force. The result for the original compressible Navier-Stokes equations is then obtained by a limiting process.The uniqueness of the periodic solution is also given. |
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