<p><i>We establish the existence and uniqueness of a classical solution to the stationary boundary layer problem for a fluid governed by the Ladyzhenskaya rheological law near a solid wall, with given conditions characterizing the surface tension forces and slip phenomenon near the wall. We obtain an analytic expression for the fluid drainage velocity along a vertical wall under the action of gravity and boundary conditions. Bibliography:</i> 13 <i>titles</i>.</p>

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EXISTENCE AND UNIQUENESS OF A SOLUTION TO THE SYSTEM OF BOUNDARY LAYER OF A NONLINEAR VISCOUS FLUID WITH SLIP CONDITIONS ON A STREAMLINED SURFACE

  • Marat Kisatov,
  • Vyacheslav Samokhin,
  • Grigory Chechkin

摘要

We establish the existence and uniqueness of a classical solution to the stationary boundary layer problem for a fluid governed by the Ladyzhenskaya rheological law near a solid wall, with given conditions characterizing the surface tension forces and slip phenomenon near the wall. We obtain an analytic expression for the fluid drainage velocity along a vertical wall under the action of gravity and boundary conditions. Bibliography: 13 titles.