Abstract
In the present paper, the special type of Navier–Stokes equations (1.1) is investigated. The viscosity varies according to t α , and we call it the t α -type Navier–Stokes equation. By using the fixed point theorem in special Besov spaces, the global existence and uniqueness results of the solution for 0 ≤ α < 1 are given under the assumption of small initial data.
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