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• W3100129303 abstract "We introduce a notion of global weak solution to the Navier–Stokes equations in three dimensions with initial values in the critical homogeneous Besov spaces $${dot{B}^{-1+frac{3}{p}}_{p,infty}}$$ , p > 3. These solutions satisfy a certain stability property with respect to the weak- $${ast}$$ convergence of initial conditions. To illustrate this property, we provide applications to blow-up criteria, minimal blow-up initial data, and forward self-similar solutions. Our proof relies on a new splitting result in homogeneous Besov spaces that may be of independent interest." @default.
• W3100129303 created "2020-11-23" @default.
• W3100129303 creator A5028895739 @default.
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• W3100129303 date "2018-10-09" @default.
• W3100129303 modified "2023-10-03" @default.
• W3100129303 title "Global Weak Besov Solutions of the Navier–Stokes Equations and Applications" @default.
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• W3100129303 doi "https://doi.org/10.1007/s00205-018-1319-0" @default.
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