Existence of solutions for a shear thickening fluid-particle system with non-Newtonian potential

Abstract

This paper is concerned with a compressible shear thickening fluid-particle interaction model for the evolution of particles dispersed in a viscous non-Newtonian fluid. Taking the influence of non-Newtonian gravitational potential into consideration, the existence and uniqueness of strong solutions are established.

Keywords

• existence
• strong solutions
• compressible
• non-newtonian fluid
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