Existence of weak solutions of diffuse interface models for magnetic fluids
Existence of weak solutions of diffuse interface models for magnetic fluids
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DOI：
10.1002/pamm.202100205
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发表时间：
2021-12
期刊：
影响因子：
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通讯作者：
Martin Kalousek;Sourav Mitra;A. Schlömerkemper
中科院分区：
文献类型：
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作者：
Martin Kalousek;Sourav Mitra;A. Schlömerkemper
在这篇文章中，我们收集了一些最近的结果的整体存在性弱解的扩散界面模型的不可压缩磁流体。我们认为这两种情况下的匹配和不匹配的特定密度。对于涉及具有相同密度的流体的模型，我们认为自由能密度是双势阱势，而对于不匹配密度的情况，使用奇异自由能密度至关重要。
In this article we collect some recent results on the global existence of weak solutions for diffuse interface models involving incompressible magnetic fluids. We consider both the cases of matched and unmatched specific densities. For the model involving fluids with identical densities we consider the free energy density to be a double well potential whereas for the unmatched density case it is crucial to work with a singular free energy density.