• Corpus ID: 245906197

Quantitative bounds for critically bounded solutions to the three-dimensional Navier-Stokes equations in Lorentz spaces

@inproceedings{Feng2022QuantitativeBF,
  title={Quantitative bounds for critically bounded solutions to the three-dimensional Navier-Stokes equations in Lorentz spaces},
  author={Wenquan Feng and Jiao He and Weinan Wang},
  year={2022}
}
In this paper, we prove a quantitative regularity theorem and blow-up criterion of classical solutions for the three-dimensional Navier-Stokes equations. By adapting the strategy developed by Tao in [20], we obtain an explicit blow-up rate in the setting of critical Lorentz spaces L0 (R) with 3 ≤ q0 < ∞. Our results improve the previous regularity in critical Lebesgue spaces L(R) in [20] and quantify the qualitative result by Phuc in [16]. 

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