Navier-Stokes equations with external forces in Besov-Morrey spaces

Boling Guo; Guoquan Qin

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arXiv · 1906.02887

Navier-Stokes equations with external forces in Besov-Morrey spaces

Boling Guo·Guoquan Qin

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Abstract

We establish the existence and uniqueness of local strong solutions to the Navier-Stokes equations with arbitrary initial data and external forces in the homogeneous Besov-Morrey space. The local solutions can be extended globally in time provided the initial data and external forces are small. We adapt the method introduced in \cite{ks6}, where the Besov space is considered, to the setting of the homogeneous Besov-Morrey space.

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Boling Guo, Guoquan Qin. 2019-06-07. Navier-Stokes equations with external forces in Besov-Morrey spaces. https://arxiv.org/abs/1906.02887

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