The Existence of Strong Solution for Generalized Navier-Stokes Equations with - Power Law under Dirichlet Boundary Conditions

Cholmin Sin

Advances in Mathematical Physics, 2021, vol. 2021, 1-11

Abstract:

In this note, in 2D and 3D smooth bounded domain, we show the existence of strong solution for generalized Navier-Stokes equation modeling by - power law with Dirichlet boundary condition under the restriction . In particular, if we neglect the convective term, we get a unique strong solution of the problem under the restriction , which arises from the nonflatness of domain.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:6755411

DOI: 10.1155/2021/6755411

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