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Control problem on the linearized compressible Navier-Stokes system with Maxwell's law

Ponente: Subrata Majumdar
Institución: IM-UNAM
 Tipo de Evento: Investigación
Cuándo 16/05/2024
de 12:00 a 13:00
Dónde Salón de seminarios "Graciela Salicrup"
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In this talk, we discuss the control properties of the linearized compressible Navier-Stokes system with Maxwell’s law around a constant steady
state in the interval (0, 2π) with periodic boundary data. We start with an introductory discussion on the theory of control of PDEs. Then we show the exact controllability of the coupled system by means of a localized interior control acting in any of the equations when time is large enough. The exact controllability result of the concerned system is studied proving the observability inequality with the help of an Ingham-type inequality.