Parabolic and navier-stokes equations
Parabolic and navier-stokes equations
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DOI：
10.4064/bc81
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Joanna Rencławowicz;W. Zaja̧czkowski
中科院分区：
文献类型：
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作者：
Joanna Rencławowicz;W. Zaja̧czkowski
史：关于具有简并迁移率的粘性不可压缩流体两相流的相场模型Helmut Abels里根斯堡大学，数学系93040里根斯堡，德国Helmut.Abels@MATHEMATIK.UNI-REGENSBURG.DE我们讨论了两种不可混溶的不可压缩流体在密度不同的情况下的两相流的最新模型。这种模型被引入来描述当分离流体的界面中的奇点（液滴形成/聚结）发生时的流动。流体被假定为宏观上不混溶，但在一个小的界面区域的部分混合被假定。我们将介绍最近的结果的情况下，这个模型的弱解的存在性退化和非退化的流动性。在这里的情况下，简并的流动性是特别感兴趣的，因为没有扩散的纯相和奥斯特瓦尔德熟化的效果不会发生尖锐的界面限制。这是与来自里根斯堡的哈拉尔德·加克和丹尼尔·德普纳的联合作品。
S: On a phase-field model for two-phase flows of viscous incompressible fluids with degenerate mobility Helmut Abels University of Regensburg, Faculty for Mathematics 93040 Regensburg, Germany HELMUT.ABELS@MATHEMATIK.UNI-REGENSBURG.DE We discuss a recent model for the two-phase flow of two immiscible, incompressible fluids in the case when the densities of the fluids are different. Such models were introduced to describe the flow when singularities in the interface, which separates the fluids, (droplet formation/coalescence) occur. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed. We will present recent results on existence of weak solutions for this model in the case of degenerate and non-degenerate mobility. Here the case of degenerate mobility is of special interest since there is no diffusion in the pure phases and the effect of Ostwald ripening does not occur for the sharp interface limit. This is a joint-work with Harald Garcke and Daniel Depner from Regensburg.