Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614957 | Journal of Mathematical Analysis and Applications | 2016 | 24 Pages |
Abstract
We study the initial–boundary value problem of the Navier–Stokes system in the half-space. We prove the unique solvability of the weak solution for some short time interval (0,T)(0,T) with the velocity in Cα,α2(R+n×(0,T)), 0<α<10<α<1, when the given initial data in Cα(R+n) and the given boundary data in Cα,α2(Rn−1×(0,T)) satisfy the compatibility conditions. Our result generalizes the result in [29] considering nonhomogeneous Dirichlet boundary data.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tongkeun Chang, Bum Ja Jin,