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[01271] Localized and degenerate controls for the incompressible Navier--Stokes system

  • Session Time & Room : 2E (Aug.22, 17:40-19:20) @F412
  • Type : Contributed Talk
  • Abstract : This talk concerns the global approximate controllability of incompressible Newtonian fluids driven by a physically localized and degenerate interior control. By introducing transported Fourier modes as building blocks, we act on the planar Navier--Stokes system via four scalar controls that depend only on time and appear as coefficients in an effectively constructed driving force supported in a given subdomain. The four unknown parameters can be computed by merely solving a linear transport controllability problem.
  • Classification : 35Q30, 35Q49, 76B75, 93B05, 93B18
  • Format : Talk at Waseda University
  • Author(s) :
    • Manuel Rissel (New York University Shanghai)
    • Vahagn Nersesyan (New York University Shanghai)