caa a22 4500 445842253 CHVBK 20180317145348.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00245-010-9112-y doi (NATIONALLICENCE)springer-10.1007/s00245-010-9112-y Tachim Medjo T. Department of Mathematics, Florida International University, DM413B, University Park, 33199, Miami, FL, USA aut Second-order Optimality Conditions for Optimal Control of the Primitive Equations of the Ocean withPeriodic Inputs [Elektronische Daten] [T. Tachim Medjo] We investigate in this article the Pontryagin's maximum principle for control problem associated with the primitive equations (PEs) of the ocean with periodic inputs. We also derive a second-order sufficient condition for optimality. This work is closely related to Wang (SIAM J. Control Optim. 41(2):583-606, 2002) and He (Acta Math. Sci. Ser. B Engl. Ed. 26(4):729-734, 2006), in which the authors proved similar results for the three-dimensional Navier-Stokes (NS) systems. Springer Science+Business Media, LLC, 2010 Primitive equations nationallicence Maximum principle nationallicence Periodic inputs nationallicence Necessary and sufficient conditions nationallicence Applied Mathematics & Optimization Springer-Verlag 63/1(2011-02-01), 75-106 0095-4616 63:1<75 2011 63 245 https://doi.org/10.1007/s00245-010-9112-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00245-010-9112-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Tachim Medjo T. Department of Mathematics, Florida International University, DM413B, University Park, 33199, Miami, FL, USA aut NATIONALLICENCE 773 0- Applied Mathematics & Optimization Springer-Verlag 63/1(2011-02-01), 75-106 0095-4616 63:1<75 2011 63 245 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer