<b>The Navier-Stokes flow with linearly growing initial velocity in the whole space</b> - doi: 10.5269/bspm.v22i2.7484
Resumo
In this paper, the uniqueness of the solutions to the Navier-Stokesequations in the whole space is constructed, provided that the velocity grows linearly at infinity. The velocity can be chosen as Mx + u(x) for some constant matrix M and some function u. The perturbation u is taken in some homogeneous Besov spaces, which contain some nondecaying functions at space infinity, typically, some almost periodic functions. It is also proved that a locally-in-time solution exists, when M is essentially skew-symmetric which demonstrates the rotating fluid in 2-or 3-dimension.
Downloads
Não há dados estatísticos.
Edição
Seção
Artigos
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).