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Giga, Yoshikazu; Miyakawa, Tetsuro

Navier-Stokes flow in \(R^ 3\) with measures as initial vorticity and Morrey spaces. (English) Zbl 0681.35072

Commun. Partial Differ. Equations 14, No. 5, 577-618 (1989).
The authors study the vorticity equations, derived from the unsteady, incompressible Navier-Stokes equations, with initial data in Morrey spaces. Under suitable smallness assumptions they prove the existence of a unique smooth global solution.
Reviewer: G.Warnecke

Cited in 2 Reviews
Cited in 126 Documents

MSC:

35Q30 Navier-Stokes equations
35J25 Boundary value problems for second-order elliptic equations
76D05 Navier-Stokes equations for incompressible viscous fluids

Keywords:

vorticity equations; incompressible Navier-Stokes equations; Morrey spaces; smallness assumptions; global solution
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\textit{Y. Giga} and \textit{T. Miyakawa}, Commun. Partial Differ. Equations 14, No. 5, 577--618 (1989; Zbl 0681.35072)
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