Rotationally corrected scaling invariant solutions to the Navier-Stokes equations

2016/10/18 by Zachary Bradshaw, Tai‐Peng Tsai, Bradshaw, Zachary +2
Earth and Planetary Sciences · Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Geophysics and Gravity Measurements #Navier-Stokes equation solutions #Reservoir Engineering and Simulation Methods #math.AP

paper · pdf · doi:10.48550/arxiv.1610.05680

arxiv created 2016/10/18 · openalex publication_date 2016/10/18 · arxiv updated 2016/10/19 · openalex created_date 2022/09/20 · openalex updated_date 2026/07/28

Abstract

We introduce new classes of solutions to the three dimensional Navier-Stokes equations in the whole and half spaces that add rotational correction to self-similar and discretely self-similar solutions. We construct forward solutions in these new classes for arbitrarily large initial data in L³_w on the whole and half spaces. We also comment on the backward case.

Citations

• A necessary condition of possible blowup for the Navier-Stokes system in half-space
• Sur le mouvement d'un liquide visqueux emplissant l'espace

Cited by

• On rotated backwards self-similar solutions of the incompressible 3D Navier-Stokes equations

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