INERTIAL MANIFOLDS FOR THE HYPERVISCOUS NAVIER-STOKES EQUATIONS
Overview & Synopsis
We prove the existence of inertial manifolds in the L2 space for the incompressible hyperviscous Navier-Stokes equations on the two or three-dimensional torus such that the exponent on the hyperviscosity term is greater than or equal to 3/2. Since the spectral gap condition is not available for the aforementioned problem in three dimensions, we employ the spatial averaging method introduced by Mallet-Paret and Sell.
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Document Information
| Document Title | INERTIAL MANIFOLDS FOR THE HYPERVISCOUS NAVIER-STOKES EQUATIONS |
|---|---|
| Author / Organization | Ciprian G Gal, Yanqiu Guo |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2017 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-159697 |
| Original Source Link | Visit Source Page on hal.science » |