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Optimal Contool for a Mixed Flow of Hamiltonian and Gradient Type in Space of Probability Measures
| dc.contributor.author | Feng, Jin | |
| dc.contributor.author | Swiech, Andrezej | |
| dc.contributor.author | Stefanov, Atanas G. | |
| dc.date.accessioned | 2014-07-02T19:02:32Z | |
| dc.date.available | 2014-07-02T19:02:32Z | |
| dc.date.issued | 2013-08 | |
| dc.identifier.citation | Feng, Jin; Andrezej Swiech and Atanas Stefanov. "Optimal Contool for a Mixed Flow of Hamiltonian and Gradient Type in Space of Probability Measures." TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 365, Number 8, August 2013, Pages 3987–4039 S 0002-9947(2013)05634-6 | |
| dc.identifier.uri | http://hdl.handle.net/1808/14453 | |
| dc.description.abstract | Abstract. In this paper we investigate an optimal control problem in the space of measures on R2. The problem is motivated by a stochastic interacting particle model which gives the 2-D Navier-Stokes equations in their vorticity formulation as a mean-field equation. We prove that the associated Hamilton- Jacobi-Bellman equation, in the space of probability measures, is well posed in an appropriately defined viscosity solution sense. | |
| dc.publisher | American Mathmatical Society | |
| dc.title | Optimal Contool for a Mixed Flow of Hamiltonian and Gradient Type in Space of Probability Measures | |
| dc.type | Article | |
| kusw.kuauthor | Feng, Jin | |
| kusw.kuauthor | Stefanov, Atanas | |
| kusw.kudepartment | Department of Mathematics | |
| kusw.oastatus | na | |
| kusw.oaversion | Scholarly/refereed, publisher version | |
| kusw.oapolicy | This item does not meet KU Open Access policy criteria. | |
| dc.rights.accessrights | openAccess |
