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20112026
most citedExploring Rigidly Rotating Vortex Configurations and their Bifurcations in Atomic Bose-Einstein Condensates

35 citations · 115 across the 18 of their papers we have counts for

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17 papers · 1 filter

math.AP2026

Anchored Peskin Problem

Achyuta Telekicherla Kandalam, Daniel Spirn

The Immersed Boundary Method has long served as a robust computational framework for fluid-structure interactions, yet the rigorous analysis of 1D Peskin filaments anchored to rigi…

math.AP2022★ 1 cited

Tetrahedral frame fields via constrained third order symmetric tensors

Dmitry Golovaty, Matthias Kurzke, Jose Alberto Montero +1

Tetrahedral frame fields have applications to certain classes of nematic liquid crystals and frustrated media. We consider the problem of constructing a tetrahedral frame field in…

math.AP2019

A variational method for generating -cross fields using higher-order -tensors

Dmitry Golovaty, Jose Alberto Montero, Daniel Spirn

An -cross field is a locally-defined orthogonal coordinate system invariant with respect to the cubic symmetry group. Cross fields are finding wide-spread use in mesh generation…

math.AP2019★ 17 cited

Theoretical justification and error analysis for slender body theory with free ends

Yoichiro Mori, Laurel Ohm, Daniel Spirn

Slender body theory is a commonly used approximation in computational models of thin fibers in viscous fluids, especially in simulating the motion of cilia or flagella in swimming…

math.AP2018★ 5 cited

Theoretical justification and error analysis for slender body theory

Yoichiro Mori, Laurel Ohm, Daniel Spirn

Slender body theory facilitates computational simulations of thin fibers immersed in a viscous fluid by approximating each fiber using only the geometry of the fiber centerline cur…

math.AP2017

Quench detection on a superconducting radio-frequency cavity

Ru-Yu Lai, Daniel Spirn

We study quench detection in superconducting accelerator cavities cooled with He-II. A rigorous mathematical formula is derived to localize the quench position from dynamical data…