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This paper presents a sharp nonuniqueness result for weak solutions of the incompressible Navier-Stokes equations in periodic settings for dimensions d ≥ 2, specifically showing nonuniqueness in the class Lpt L∞ for any p < 2. The authors construct non-Leray-Hopf weak solutions that exhibit anomalous dissipation, challenging the classical uniqueness criteria established by Ladyzhenskaya-Prodi-Serrin. This work represents a significant advancement in understanding the uniqueness of solutions to the Navier-St

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lyubit0202

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EN