Strong solutions for a 1D fluid-particle interaction non-newtonian model: The bubbling regime

作者:Song Yukun*; Yuan Hongjun; Chen Yang; Guo Zhidong
来源:Journal of Mathematical Physics, 2013, 54(9): 091501.
DOI:10.1063/1.4820446

摘要

This paper is concerned with the one dimensional fluid-particle interaction model in the so-called bubbling regime which describes the evolution of particles dispersed in a viscous compressible non-Newtonian fluid. We obtained the existence of unique local strong solution to this model. The main difficulty is due to the strong nonlinearity of the system and the initial fluid density admitting vacuum.