Szekelyhidi Lab

University of Leipzig

Sachsen (DED) · Germany

ERC-funded
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Research focus

ERC Consolidator Grant · 2016

Differential Inclusions and Fluid Mechanics

Important problems in science often involve structures on several distinct length scales. Two typical examples are fine phase mixtures in solid-solid phase transitions and the complex mixing patterns in turbulent or multiphase flows. The microstructures in such situations influence in a crucial way the macroscopic behavior of the system, and understanding the formation, interaction and overall effect of these structures is a great scientific challenge. Although there is a large variety of models and descriptions for such phenomena, a recurring issue in the mathematical analysis is that one has to deal with very complex and highly non-smooth structures in solutions of the associated partial…

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