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

Yukun Song, Heyuan Wang and Fengming Liu

Advances in Mathematical Physics, 2018, vol. 2018, 1-11

Abstract:

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:2028657

DOI: 10.1155/2018/2028657

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