Search Results for author: Zhaoyang Yin

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About lifespan and the continuous dependence for the Navier-Stokes equation in $\dot{B}^{\frac{d}{p}-1}_{p,r}$

no code implementations24 Dec 2020 Weikui Ye, Zhaoyang Yin, Wei Luo

Combining \cite{wbx, ns7, ns2}, we deduce that $\dot{B}^{\frac{d}{p}-1}_{p,\infty}$ with $1\leq p<\infty$ is the critical space which solutions are ill-posedness, while $u\in\dot{B}^{\frac{d}{p}-1}_{p, r}$ with $1\leq r, p<\infty$ are well-poseness.

Analysis of PDEs

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