Exploratory research project
PN-II-ID-PCE-2012-4-0456


CONTROLLABILITY AND STABILIZABILITY OF THE
EQUATIONS OF FLUID DYNAMICS

 


        General Information
        Research team
        Objectives
        Results
        Mobilities






Publications 



Final Scientific Report (2013-2016)

  • BARBU Viorel, Beznea Lucian, Measure branching processes associated with Neumann nonlinear semiflows, J. Math. Anal. Appl., 44, 167-182, 2016.
  • BARBU Viorel, Roeckner Michael, Backward uniqueness of stochastic parabolic equations driven by Gaussian multiplicative noise, Stochastic Processes and Their Applications, 126, 2163-2174, 2016.
  • BARBU Viorel, Roeckner Michael, D. Zhang, Stochastic nonlinear Schrodinger equations, Nonlinear Analysis: Theory, Methods and Applications, 136, 168-194, 2016.
  • LEFTER Catalin-George, Internal feedback stabilization of nonstationary solutions to parabolic systems, Journal of Optimization Theory and Applications 170(3), 960-976, 2016.
  • ARAMA Bianca-Elena, The cost of approximate controllability and an unique continuation result at initial time for the Ginzburg-Landau equation, Applicable Analysis, accepted 2016.
  • MUNTEANU Ionut, Stabilization of a 3-D Periodic Channel Flow by Explicit Normal Boundary Feedbacks, Journal of Dynamical and Control Systems, accepted 2016.
  • BARBU Viorel, Roeckner Michael, Global solutions to random 3D vorticity equations for small data, Probability Theory and Related Fields, submitted.
  • BARBU Viorel, Roeckner Michael, Russo Francesco, Stochastic porous media equations in $R^d$, Journal Mathematiques Pures et Appliquees, 103(4), 1024-1052, 2015.
  • BARBU Viorel, Roeckner Michael, An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise, J. Eur. Math. Soc., 17, 1789-1815, 2015.
  • BARBU Viorel, Bonaccorsi Stefano, Tubaro Luciano, Existence and Asymptotic Behavior for Hereditary Stochastic Evolution Equations, Appl. Math. Optim., 69(2), 273-314, 2014.
  • MUNTEANU Ionut, Boundary stabilization of the phase field system by finite-dimensional feedback controllers, Journal of Mathematical Analysis and Applications, 412 (2), 964-975, 2014.
  • BARBU Viorel, Bonaccorsi Stefano, Tubaro Luciano, Stochastic differential equations with variable structure driven by multiplicative Gaussian noise and sliding mode dynamics, Mathematics of Control, Signals, and Systems, to appear.
  • HAVARNEANU Teodor, POPA Catalin George, and Shirikyan Armen, Exact internal controllability for the three-dimensional MHD equations with five or four scalar control functions of six possible, submitted.
  • BARBU Viorel, Mosco Umberto, Finite-time self-organized-criticality on synchronized finnite grids, in evaluare.
  • Liu Hanbing, MUNTEANU Ionut, Boundary feedback stabilization of Navier-Stokes equations, Nonlinear Analysis: Theory, Methods and Applications, submitted.

  • International Conferences 

    Other results 

    • HAVARNEANU Teodor Dumitru, POPA Catalin George, Controlabilitatea exacta a ecuatiilor magnetohidrodinamicii fara functie de control intr-una din cele 3 ecuatii scalare ale partii magnetice, Sesiunea de comunicari a Institutului de Matematica Octav Mayer, Zilele Academiei Iesene, Iasi, 10 octombrie 2015.
    • LEFTER Catalin-George, Asupra stabilizarii feedback a sistemelor parabolice, Sesiunea de comunicari a Institutului de Matematica Octav Mayer, Zilele Academiei Iesene, Iasi, 10 octombrie 2015.