Strong Solutions for the Fluid-Particle Interaction Model with Non-Newtonian Potential

الملخص EN

This paper deals with a mathematical fluid-particle interaction model used to describing the evolution of particles dispersed in a viscous compressible non-Newtonian fluid.

It is proved that the initial boundary value problems with vacuum admits a unique local strong solution in the dimensional case.

The strong nonlinearity of the system brings us difficulties due to the fact that the viscosity term and non-Newtonian gravitational potential term are fully nonlinear.