| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Fed Santa Catarina, Campus Blumenau, BR-89065300 Blumenau, SC - Brazil
[2] Univ Estadual Campinas, IMECC Dept Matemat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 43, p. 308-322, OCT 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
We prove global stability of strong large solutions for the 3D incompressible Navier-Stokes equations with Navier slip boundary conditions. This result is obtained under an integrable property that depends on these slip conditions. In addition, we show that strong helical solutions are global in time. Combining the latter with the stability result, we provide a class of 3D global large solutions with perturbations of helical vector-fields as initial data. (C) 2018 Elsevier Ltd. All rights reserved. (AU) | |
| FAPESP's process: | 16/16104-8 - PDEs and time-dependent gradient flows in rough spaces |
| Grantee: | Lucas Catão de Freitas Ferreira |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 13/21819-8 - Existence and stability of large solutions for some fluid mechanics models |
| Grantee: | Maicon José Benvenutti |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |