Free boundary problems of the incompressible Navier–Stokes equations with non-flat initial surface in the critical Besov space
Takayoshi Ogawa,
Senjo Shimizu
Abstract:Global well-posedness of the Navier–Stokes equations with a free boundary condition is considered in the scaling critical homogeneous Besov spaces $${\dot{B}}_{p,1}^{-1+n/p}({\mathbb {R}}^n_+)$$
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