Strong solutions for the fluid-particle interaction model with non-Newtonian potential (Q1629158)
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scientific article; zbMATH DE number 6991931
| Language | Label | Description | Also known as |
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| English | Strong solutions for the fluid-particle interaction model with non-Newtonian potential |
scientific article; zbMATH DE number 6991931 |
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Strong solutions for the fluid-particle interaction model with non-Newtonian potential (English)
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11 December 2018
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Summary: 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.
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