Abstract
We consider a hyperbolic version of three-dimensional anisotropic Navier-Stokes equations in a thin strip and its hydrostatic limit that is a hyperbolic Prandtl type equations. We prove the global-in-time existence and uniqueness for the two systems and the hydrostatic limit when the initial data belong to the Gevrey function space with index 2. The proof is based on a direct energy method by observing the damping effect in the systems. © 2022, Global Science Press. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 471-502 |
| Number of pages | 32 |
| Journal | Communications in Mathematical Analysis and Applications |
| Volume | 1 |
| Issue number | 4 |
| Online published | 20 Oct 2022 |
| DOIs | |
| Publication status | Published - Nov 2022 |
Funding
The research of W.-X. Li was supported by NSFC (Grant Nos. 11961160716, 11871054, 12131017) and by the Natural Science Foundation of the Hubei Province (Grant 2019CFA007). The research of T. Yang was supported by the General Research Fund of the Hong Kong City University (Grant No. 11302020).
Research Keywords
- 3D hydrostatic Navier-Stokes equations
- Gevrey class
- global well-posedness
- hydrostatic limit
RGC Funding Information
- RGC-funded
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Dive into the research topics of '3D Hyperbolic Navier-Stokes Equations in a Thin Strip: Global Well-Posedness and Hydrostatic Limit in Gevrey Space'. Together they form a unique fingerprint.Projects
- 1 Finished
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GRF: MHD Boundary Layer Theories and Beyond
YANG, T. (Principal Investigator / Project Coordinator)
1/01/21 → 15/11/22
Project: Research
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