| Title | On the hydrostatic approximation of the Navier-Stokes equations in a thin strip |
| Authors | Paicu, Marius Zhang, Ping Zhang, Zhifei |
| Affiliation | Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China |
| Keywords | ZERO VISCOSITY LIMIT WELL-POSEDNESS ANALYTIC SOLUTIONS GLOBAL REGULARITY PRANDTL SYSTEM EXISTENCE EULER |
| Issue Date | 7-Oct-2020 |
| Publisher | ADVANCES IN MATHEMATICS |
| Abstract | In this paper, we first prove the global well-posedness of a scaled anisotropic Navier-Stokes system and the hydrostatic Navier-Stokes system in a 2-D striped domain with small analytic data in the tangential variable. Then we justify the limit from the anisotropic Navier-Stokes system to the hydrostatic Navier-Stokes system with analytic data. (C) 2020 Elsevier Inc. All rights reserved. |
| URI | http://hdl.handle.net/20.500.11897/591001 |
| ISSN | 0001-8708 |
| DOI | 10.1016/j.aim.2020.107293 |
| Indexed | SCI(E) |
| Appears in Collections: | 数学科学学院 |
