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

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  • Yukun Song
  • Heyuan Wang
  • Fengming Liu

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.

Suggested Citation

  • Yukun Song & Heyuan Wang & Fengming Liu, 2018. "Strong Solutions for the Fluid-Particle Interaction Model with Non-Newtonian Potential," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-11, July.
    • Handle: RePEc:hin:jnlamp:2028657
    DOI: 10.1155/2018/2028657
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