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| Content Provider | Springer Nature Link |
|---|---|
| Author | Liu, Hanbing |
| Copyright Year | 2014 |
| Abstract | This work considered the Dirichlet boundary optimal control of time-periodic Stokes–Oseen equations. The existence of optimal solution and maximum principle are obtained without assuming that the normal component of the control is equal to zero. Moreover, we get the regularity result of the optimal solution via the Euler–Lagrange system. The existence of solution to the HJB equation is proved. The feedback form of the optimal controller is given, and with this feedback controller, we can get for the solution to the periodic Navier–Stokes equations the property of continuous dependence on the outer force term. |
| Ending Page | 735 |
| Page Count | 27 |
| Starting Page | 709 |
| File Format | |
| ISSN | 10219722 |
| e-ISSN | 14209004 |
| Journal | Nonlinear Differential Equations and Applications NoDEA |
| Issue Number | 5 |
| Volume Number | 21 |
| Language | English |
| Publisher | Springer Basel |
| Publisher Date | 2014-01-22 |
| Publisher Place | Basel |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Dirichlet boundary control Optimal feedback synthesis Dynamic programming method Analysis Time-periodic Stokes–Oseen equations Stokes and related (Oseen, etc.) flows Feedback controller |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Analysis |
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