带有Power-Law型粘性项的可压缩非牛顿流的光滑解
Classical Solutions to the Compressible Non-Newtonian Fluids with Power-Law Viscous
摘要: 本文研究一维有界区间上的可压非牛顿流体模型。在初始密度有正下界的情况下，通过构造逼近解，应用能量估计，得到了带有Power-Law结构粘性项的非牛顿流模型初边值问题光滑解的局部存在性。
Abstract: In this paper, a one-dimensional compressible non-Newtonian fluid model on a bounded interval is studied. If the initial density has a positive lower bound, the local existence of the classical solutions for the initial boundary value problem of a non-Newtonian fluid model with Power-Law viscous is proved by constructing approximate solutions and applying energy estimation.
文章引用：黄晓娟. 带有Power-Law型粘性项的可压缩非牛顿流的光滑解[J]. 理论数学, 2019, 9(3): 243-253. https://doi.org/10.12677/PM.2019.93031

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