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| 1 | 高分子稀溶液的多尺度模型研究进展显示文摘高分子稀溶液的结构流变学模型是复杂流体多尺度模型的重要基础,其多年来的成就难掩其近线性、近平衡的局限和数学上的不足.介绍了研究高分子稀溶液微宏观(多尺度)模型的新进展,包括确定性和随机性2种形式的本构模型;综述了哑铃分子多尺度模型在数学分析和数值模拟进展以及微观模型的约化及封闭近似等研究工作. | 李俊杰 张颖 | 2013 | 厦门大学学报(自然科学版)2013，52，2： | 1 |
| 2 | Global Existence of Large DataWeak Solutions for a Simplified Compressible Oldroyd–B Model Without Stress Diffusion显示文摘We start with the compressible Oldroyd–B model derived in[2](J.W.Barrett,Y.Lu,and E.Suli,Existence of large-data finite-energy global weak solutions to a compressible Oldroyd–B model,Commun.Math.Sci.,15(2017),1265–1323),where the existence of global-in-time finite-energy weak solutions was shown in two dimensional setting with stress diffusion.In the paper,we investigate the case without stress diffusion.We first restrict ourselves to the corotational setting as in[28](P.L.Lions,and N.Masmoudi,Global solutions for some Oldroyd models of non-Newtonian flows,Chin.Ann.Math.,Ser.B,21(2)(2000),131–146)We further assume the extra stress tensor is a scalar matrix and we derive a simplified model which takes a similar form as the multi-component compressible Navier–Stokes equations,where,however,the pressure term related to the scalar extra stress tensor has the opposite sign.By employing the techniques developed in[30,35],we can still prove the global-in-time existence of finite energy weak solutions in two or three dimensions,without the presence of stress diffusion. | Yong Lu Milan Pokorny | 2020 | Analysis in Theory and Applications2020，36，3： | 0 |
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