Viscoelastic Flows In A Rough Channel: A Multiscale Analysis

刚性粒子悬浮液多尺度粘弹性模型的流体动力学极限

Hydrodynamic limit of multiscale viscoelastic models for rigid particle suspensions

本文研究刚性棒状粒子悬浮液多尺度粘弹性模型在小 Weissenberg 数下的流体动力学极限，证明有序流体模型作为渐近近似的有效性，并建立了非线性流体模型的新适定性与正则性结果。

Multiscale nonlocal flow in a fractured porous medium

We study the flow generated by an incompressible viscoelastic fluid in a fractured porous medium. The model consists of a fluid flow governed by Stokes-Volterra equations evolving in a periodic double-porosity medium. Using the multiscale convergence method associated to some recent tools about the convergence of convolution sequences, we show that the equivalent macroscopic model is of the same type as the microscopic one, but in a fixed domain.

源于血管中血栓生物力学多尺度建模的相场系统：二维情形的局部适定性

A phase-field system arising from multiscale modeling of thrombus biomechanics in blood vessels: local well-posedness in dimension two

研究描述血流与血栓相互作用的相场模型，在二维情形下证明了强解的局部存在性与唯一性，并验证了序参量的严格分离性。

某些大数据类中具有自由边界的可压缩 Hookean 粘弹性流体的全局可解性

Global Solvability for the Compressible Hookean Viscoelastic Fluids with a Free Boundary in Some Classes of Large Data

本文研究三维分层可压缩 Hookean 粘弹性流体自由边界问题，在弹性系数相等和密度渐近稳定条件下证明大数据强解全局存在，并揭示大弹性系数下非线性相互作用消失、解可由线性问题逼近。