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Time-periodic solutions of the compressible Navier–Stokes equations in \({\mathbb{R}^{4}}\)

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Abstract

This paper deals with the existence of time-periodic solutions to the compressible Navier–Stokes equations effected by general form external force in \({\mathbb{R}^{N}}\) with \({N = 4}\). Using a fixed point method, we establish the existence and uniqueness of time-periodic solutions. This paper extends Ma, UKai, Yang’s result [5], in which, the existence is obtained when the space dimension \({N \ge 5}\).

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Authors and Affiliations

  1. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China

    Chunhua Jin

  2. Department of Mathematics, City University of Hong Kong, Kowloon Tong, Hong Kong

    Chunhua Jin

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  1. Chunhua Jin
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Correspondence to Chunhua Jin.

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Jin, C. Time-periodic solutions of the compressible Navier–Stokes equations in \({\mathbb{R}^{4}}\) . Z. Angew. Math. Phys. 67, 5 (2016). https://doi.org/10.1007/s00033-015-0605-z

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  • DOI: https://doi.org/10.1007/s00033-015-0605-z

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