JournalsaihpcVol. 26, No. 6pp. 2165–2180

On the uniqueness of weak solutions for the 3D Navier–Stokes equations

  • Zhifei Zhang

    School of Mathematical Sciences, Peking University, 100871, PR China

  • Qionglei Chen

    Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, PR China

  • Changxing Miao

    Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, PR China
On the uniqueness of weak solutions for the 3D Navier–Stokes equations cover
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Abstract

In this paper, we improve some known uniqueness results of weak solutions for the 3D Navier–Stokes equations. The proof uses the Fourier localization technique and the losing derivative estimates.

Cite this article

Zhifei Zhang, Qionglei Chen, Changxing Miao, On the uniqueness of weak solutions for the 3D Navier–Stokes equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 6, pp. 2165–2180

DOI 10.1016/J.ANIHPC.2009.01.008