科研之友
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摘要
We construct self-similar solutions to the three dimensional Navier-Stokes equations for divergence free, self-similar initial data that can be large in the critical Besov space where 3 < p < 6. We also construct discretely self-similar solutions for divergence free initial data in for 3 < p < 6 that is discretely self-similar for some scaling factor lambda > 1. These results extend those of Bradshaw and Tsai (Ann Henri Poincar, 2016. ) which dealt with initial data in L (3) (w) since for p > 3. We also provide several concrete examples of vector fields in the relevant function spaces.
- 出版日期2018-7
