Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8959519 | Journal of Differential Equations | 2018 | 32 Pages |
Abstract
We investigate the Navier-Stokes initial boundary value problem in the half-plane R+2 with initial data u0âLâ(R+2)â©J02(R+2) or with non decaying initial data u0âLâ(R+2)â©J0p(R+2), p>2. We introduce a technique that allows to solve the two-dimensional problem, further, but not least, it can be also employed to obtain weak solutions, as regards the non decaying initial data, to the three-dimensional Navier-Stokes IBVP. This last result is the first of its kind.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Paolo Maremonti, Senjo Shimizu,