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Published in 2017 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2017.752
Abstract: Dynamics of fluid tori in slow viscous flow is studied. Such tori are of interest as future carriers of biological and medicinal substances and are also viewed as potential building blocks towards more complex particles.…
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Keywords:
stix x1d706;
fluid;
unicode stix;
evolution stationarity ... See more keywords
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Published in 2018 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2018.465
Abstract: We propose a dynamical vortex definition (the ‘ $\unicode[STIX]{x1D706}_{\unicode[STIX]{x1D70C}}$ definition’) for flows dominated by density variation, such as compressible and multi-phase flows. Based on the search of the pressure minimum in a plane, $\unicode[STIX]{x1D706}_{\unicode[STIX]{x1D70C}}$ defines…
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Keywords:
stix x1d70c;
stix;
unicode stix;
stix x1d706 ... See more keywords
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Published in 2018 at "Compositio Mathematica"
DOI: 10.1112/s0010437x18007492
Abstract: Let $f$ be a quasi-homogeneous polynomial with an isolated singularity in $\mathbf{C}^{n}$ . We compute the length of the ${\mathcal{D}}$ -modules ${\mathcal{D}}f^{\unicode[STIX]{x1D706}}/{\mathcal{D}}f^{\unicode[STIX]{x1D706}+1}$ generated by complex powers of $f$ in terms of the Hodge filtration on…
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Keywords:
mathcal modules;
unicode stix;
mathcal unicode;
stix x1d706 ... See more keywords