Loading...
Please wait, while we are loading the content...
Similar Documents
A solution to parabolic system with the fractional Laplacian
| Content Provider | Semantic Scholar |
|---|---|
| Author | Fang, Lin Fang, Daoyuan |
| Copyright Year | 2009 |
| Abstract | The existence of a solution to the parabolic system with the fractional Laplacian (−Δ)α/2, α > 0 is proven, this solution decays at different rates along different time sequences going to infinity. As an application, the existence of a solution to the generalized Navier-Stokes equations is proven, which decays at different rates along different time sequences going to infinity. The generalized Navier-Stokes equations are the equations resulting from replacing −Δ in the Navier-Stokes equations by (−Δ)m, m > 0. At last, a similar result for 3-D incompressible anisotropic Navier-Stokes system is obtained. |
| Starting Page | 184 |
| Ending Page | 190 |
| Page Count | 7 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s11766-009-2084-5 |
| Volume Number | 24 |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1007/s11766-009-2084-5 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
