We are concerned with the non-stationary Stokes system with non-homogeneous external force and non-zero initial data in R+n×(0,T). We obtain new estimates of solutions including pressure in terms of mixed anisotropic Sobolev spaces. As an application, some anisotropic Sobolev estimates are presented for weak solutions of the Navier–Stokes equations in a half-space in dimension three.
Bibliographical noteFunding Information:
T.-K. Chang’s work was partially supported by NRF20151009350 and K. Kang’s work was partially supported by NRF-2012R1A1A2001373 and NRF-2014R1A2A1A11051161.
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