On the uniqueness of a suitable weak solution to the Navier–Stokes Cauchy problem

Francesca Crispo () and Paolo Maremonti ()
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Francesca Crispo: Università degli Studi della Campania “L. Vanvitelli”
Paolo Maremonti: Università degli Studi della Campania “L. Vanvitelli”

Partial Differential Equations and Applications, 2021, vol. 2, issue 3, 1-36

Abstract: Abstract The paper is concerned with the Navier–Stokes Cauchy problem. We investigate on some results of regularity and uniqueness related to suitable weak solutions corresponding to a special set of initial data. The suitable weak solution notion is meant in the sense introduced by Caffarelli–Kohn–Nirenberg. As further result we discuss the uniqueness of a set of suitable weak solutions (wider than the previous one) enjoying a “Prodi–Serrin” condition which is “relaxed” in space.

Keywords: Navier–Stokes equations; Weak solutions; Uniqueness of solutions; 35Q30; 35B65; 76D03 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s42985-021-00073-z

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