二维浓悬浮模型中的Fictionary流体方法和耗散率的反常爆破
Fictitious Fluid Approach and Anomalous Blow-up of the Dissipation Rate in a 2D Model of Concentrated Suspensions
摘要：
本文建立了刚性夹杂在不可压缩牛顿流体中的二维数学模型。我们的目标有两个方面：（i）当颗粒间距离参数$δ$趋于零时，获得总粘性耗散率的渐近中的所有奇异项，（ii）获得悬浮液中相邻夹杂物之间的微流的定性描述。
英文摘要：
We present a two-dimensional (2D) mathematical model of a highly concentrated suspension or a thin film of the rigid inclusions in an incompressible Newtonian fluid. Our objectives are two-fold: (i) to obtain all singular terms in the asymptotics of the overall viscous dissipation rate as the interparticle distance parameter $δ$ tends to zero, (ii) to obtain a qualitative description of a microflow between neighboring inclusions in the suspension.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
