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Pullback Attractors for Non-Newtonian Fluids with Shear Dependent Viscosity
Journal of Mathematical Fluid Mechanics ( IF 1.3 ) Pub Date : 2021-03-01 , DOI: 10.1007/s00021-021-00561-7
Heraclio Ledgar López-Lázaro , Pedro Marín-Rubio , Gabriela Planas

The so-called Ladyzhenskaya model is analyzed from a non-autonomous dynamical system point of view, for weak and strong solutions. Existence of attractors when forces are time-dependent is ensured in several universes with different tempered parameter conditions, and also for fixed bounded sets. Attraction is proved in \(L^2\) and \(W^{1,p}\) norms and relationships between these families are also established.



中文翻译:

具有剪切相关粘度的非牛顿流体的回拉吸引器

从非自治动力学系统的角度分析了所谓的Ladyzhenskaya模型,以求得到弱和强解。在具有不同调节参数条件的多个宇宙中,以及对于固定有界集,都可以确保力随时间变化时吸引子的存在。在((L ^ 2 \)((W ^ {1,p} \))范数中证明了吸引力并且还建立了这些族之间的关系。

更新日期:2021-03-01
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