Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Spirn, Daniel"'
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 three dimensional domains in which the boundary normal vector is inclu
Externí odkaz:
http://arxiv.org/abs/2210.00575
Fluid flows containing dilute or dense suspensions of thin fibers are widespread in biological and industrial processes. To describe the motion of a thin immersed fiber, or to describe the forces acting on it, it is convenient to work with one-dimens
Externí odkaz:
http://arxiv.org/abs/2102.01791
An $n$-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, computer graphics, and materials science among many applications. It
Externí odkaz:
http://arxiv.org/abs/1909.00922
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 microorganisms. In [23], we developed a PDE framework for analyzing th
Externí odkaz:
http://arxiv.org/abs/1901.11456
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 curve and the line force density along it. However, it has been unclear h
Externí odkaz:
http://arxiv.org/abs/1807.00178
Publikováno v:
In Journal of Computational Physics 1 February 2022 450
Autor:
Lai, Ru-Yu, Spirn, Daniel
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 over a finite time interval at a second sound detector.
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Externí odkaz:
http://arxiv.org/abs/1710.04763
In this note, we prove the profile decomposition for hyperbolic Schr\"odinger (or mixed signature) equations on $\mathbb{R}^2$ in two cases, one mass-supercritical and one mass-critical. First, as a warm up, we show that the profile decomposition wor
Externí odkaz:
http://arxiv.org/abs/1708.08014
We consider the problem of a one dimensional elastic filament immersed in a two dimensional steady Stokes fluid. Immersed boundary problems in which a thin elastic structure interacts with a surrounding fluid are prevalent in science and engineering,
Externí odkaz:
http://arxiv.org/abs/1704.08392
Autor:
Iyer, Gautam, Spirn, Daniel
This paper studies questions related to the dynamic transition between local and global minimizers in the Ginzburg-Landau theory of superconductivity. We derive a heuristic equation governing the dynamics of vortices that are close to the boundary, a
Externí odkaz:
http://arxiv.org/abs/1610.06888