A solution with free boundary for non-Newtonian fluids with Drucker-Prager plasticity criterion

Finally, convergence of solutions of the free boundary problem to the solutions of the well-established small aspect ratio model is shown..

Dawson — Analysis of expanded mixed finite element methods for a nonlinear parabolic equation modeling flow into variably saturated porous media,

In this stage to simplify the complicated problem we used a glass microchannel, a T-type mixing junction, only one flow rate of the organic Newtonian fluid

Figures 5 and 6 depict the variations of the azimuthal component of the ve- locity with L and λ(= η) respectively. An increase in L decreases the velocity profile G near the disk.

Lieberman, Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Anal. Magenes, Problemi ai limiti

Thus, Theorem 1.1 may be seen as a rigidity result on an fully nonlinear fluid jet model which determines the shape of the fluid (i.e., the domain ) and the stream lines of the

In this section we complete the study of the regularity of the free boundary. started in

BAIOCCHI, Free boundary problems in the theory of fluid flow through porous media, International Congress of Mathematicians, Vancouver (1974). [3]