Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Ohm, Laurel"'
Autor:
Ohm, Laurel
We consider a simplified extensible version of a dynamic free boundary problem for a thin filament with radius $\epsilon>0$ immersed in 3D Stokes flow. The 3D fluid is coupled to the quasi-1D filament dynamics via a novel type of angle-averaged Neuma
Externí odkaz:
http://arxiv.org/abs/2404.04737
Autor:
Ohm, Laurel
We consider the Laplace equation in the exterior of a thin filament in $\mathbb{R}^3$ and perform a detailed decomposition of a notion of slender body Neumann-to-Dirichlet (NtD) and Dirichlet-to-Neumann (DtN) maps along the filament surface. The deco
Externí odkaz:
http://arxiv.org/abs/2308.06592
Autor:
Ohm, Laurel
We propose and analyze a simple model for the evolution of an immersed, inextensible filament which incorporates linear viscoelastic effects of the surrounding fluid. The model is a closed-form system of equations along the curve only which includes
Externí odkaz:
http://arxiv.org/abs/2209.14160
Autor:
Mori, Yoichiro, Ohm, Laurel
We consider a classical elastohydrodynamic model of an inextensible filament undergoing planar motion in $\mathbb{R}^3$. The hydrodynamics are described by resistive force theory, and the fiber elasticity is governed by Euler-Bernoulli beam theory. O
Externí odkaz:
http://arxiv.org/abs/2208.03350
Autor:
Ohm, Laurel, Shelley, Michael J.
We consider the Saintillan--Shelley kinetic model of active rodlike particles in Stokes flow (Saintillan & Shelley 2008a,b), for which the uniform, isotropic suspension of pusher particles is known to be unstable in certain settings. Through weakly n
Externí odkaz:
http://arxiv.org/abs/2205.04942
Autor:
Albritton, Dallas, Ohm, Laurel
We consider a kinetic model of an active suspension of rod-like microswimmers. In certain regimes, swimming has a stabilizing effect on the suspension. We quantify this effect near homogeneous isotropic equilibria $\overline{\psi} = \text{const}$. No
Externí odkaz:
http://arxiv.org/abs/2205.04922
Autor:
Ohm, Laurel
We remark on the use of regularized Stokeslets in the slender body theory (SBT) approximation of Stokes flow about a thin fiber of radius $\epsilon>0$. Denoting the regularization parameter by $\delta$, we consider regularized SBT based on the most c
Externí odkaz:
http://arxiv.org/abs/2106.07842
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
We propose a novel integral model describing the motion of curved slender fibers in viscous flow, and develop a numerical method for simulating dynamics of rigid fibers. The model is derived from nonlocal slender body theory (SBT), which approximates
Externí odkaz:
http://arxiv.org/abs/2012.11561
Autor:
Lai, Ru-Yu, Ohm, Laurel
We study the inverse problem for the fractional Laplace equation with multiple nonlinear lower order terms. We show that the direct problem is well-posed and the inverse problem is uniquely solvable. More specifically, the unknown nonlinearities can
Externí odkaz:
http://arxiv.org/abs/2009.07883