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Published in 2018 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-018-0274-0
Abstract: Symmetries and the corresponding algebras of differential invariants of inviscid fluids on a spherical layer are given. Their dependence on thermodynamical states of the medium is studied, and a classification of thermodynamical states is given.
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Keywords:
layer flows;
differential invariants;
invariants spherical;
inviscid fluids ... See more keywords
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Published in 2019 at "Physical Review Fluids"
DOI: 10.1103/physrevfluids.4.023901
Abstract: In this paper, we develop a model based on successive linearization to study interactions between different modes in boundary layer flows. Our method consists of two steps. First, we augment the Blasius boundary layer profile…
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Keywords:
floquet equations;
parabolized floquet;
boundary layer;
mode interactions ... See more keywords
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Published in 2019 at "Physical Review Fluids"
DOI: 10.1103/physrevfluids.4.043904
Abstract: Two-dimensional fluid dynamics is often approximated via laboratory experiments that drive a thin layer of fluid electromagnetically. That approximation would be most accurate if both the direction and magnitude of the flow were uniform over…
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Keywords:
layer flows;
layer;
free surface;
thin layer ... See more keywords