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[00519] Non-Newtonian fluids with discontinuous-in-time stress tensor.

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @G502
  • Type : Contributed Talk
  • Abstract : We consider the system of equations describing the flow of incompressible fluids in bounded domain. Here, the Cauchy stress tensor has asymptotically $(s-1)$-growth with the parameter $s$ depending on the spatial and time variable. We do not assume any smoothness of $s$ with respect to time variable. Such a setting is a natural choice if the material properties are instantaneous. We establish the existence of weak solution provided that $s\ge\frac{3d+2}{d+2}$.
  • Classification : 35K51, 35Q30, 76D05
  • Format : Talk at Waseda University
  • Author(s) :
    • Miroslav Bulicek (Charles University)
    • Piotr Gwiazda (Polish Academy of Sciences)
    • Jakub Skrzeczkowski (University of Warsaw)
    • Jakub Woźnicki (University of Warsaw)