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[01119] Miscible Flows Based On Darcy-Stokes-Brinkman Model: Existence and Uniqueness

  • Session Time & Room : 4D (Aug.24, 15:30-17:10) @D401
  • Type : Contributed Talk
  • Abstract : Flows in a porous or vuggy medium are encountered in several physical phenomena, including oil recovery. A vast literature use the unsteady Brinkman and continuity equations for numerical modeling of such flow systems. We couple these equations with a convection-diffusion equation for the solute concentration to take the miscibility of fluids into account. For the first time, we show the well-posedness of this problem by employing regularized Galerkin method and hemivaritional inequalities.
  • Classification : 76Dxx, 76Sxx, 35Qxx, 35Dxx
  • Format : Talk at Waseda University
  • Author(s) :
    • Sahil Kundu (Indian Institute of Technology Ropar,Ropar, India)
    • Manoranjan Mishra (Indian Institute of Technology Ropar, India)
    • Surya Narayan Maharana (Indian Institute of Technology Ropar)