Turnpike Property for Two-Dimensional Navier–Stokes Equations
| Autor: | Sebastián Zamorano |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Property (philosophy) Applied Mathematics 010102 general mathematics 02 engineering and technology Function (mathematics) State (functional analysis) Condensed Matter Physics 01 natural sciences Exponential function Computational Mathematics 020901 industrial engineering & automation Applied mathematics 0101 mathematics Navier–Stokes equations Mathematical Physics Mathematics |
| Zdroj: | Journal of Mathematical Fluid Mechanics. 20:869-888 |
| ISSN: | 1422-6952 1422-6928 |
| Popis: | In this paper we study the turnpike phenomenon arising in the optimal distributed control tracking-type problem for the Navier–Stokes equations. We obtain a positive answer to this property in the case when the control is time-dependent function and also when it is independent of time. In both cases we prove an exponential turnpike property assuming that the stationary optimal state satisfies certain properties of smallness. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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