Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Tzou, Justin"'
For an activator-inhibitor reaction-diffusion system in a bounded three-dimensional domain $\Omega$ of $O(1)$ volume and small activator diffusivity of $O(\varepsilon^2)$, we employ a hybrid asymptotic-numerical method to investigate two instabilitie
Externí odkaz:
http://arxiv.org/abs/2412.03921
This work considers the Neumann eigenvalue problem for the weighted Laplacian on a Riemannian manifold $(M,g,\partial M)$ under the singular perturbation. This perturbation involves the imposition of vanishing Dirichlet boundary conditions on a small
Externí odkaz:
http://arxiv.org/abs/2306.00491
In this article, we study the narrow capture problem on a Riemannian 2-manifold. This involves the derivation of the mean first passage (sojourn) time of a surface-bound ion modelled as a Brownian particle. We use a layer potential argument in conjun
Externí odkaz:
http://arxiv.org/abs/2209.12425
Autor:
Tzou, Justin. C., Xie, Shuangquan
For a bounded 2-D planar domain $\Omega$, we investigate the impact of domain geometry on oscillatory translational instabilities of $N$-spot equilibrium solutions for a singularly perturbed Schnakenberg reaction-diffusion system with $\mO(\eps^2) \l
Externí odkaz:
http://arxiv.org/abs/2207.00803
We use geometric microlocal methods to compute an asymptotic expansion of mean first arrival time for Brownian particles on Riemannian manifolds. This approach provides a robust way to treat this problem, which has thus far been limited to very speci
Externí odkaz:
http://arxiv.org/abs/2101.07958
Publikováno v:
Research in the Mathematical Sciences; 12/4/2024, Vol. 12 Issue 1, p1-27, 27p
Publikováno v:
Phys. Rev. E 94, 042418 (2016)
A hybrid asymptotic-numerical method is presented for obtaining the full probability distribution of capture times of a random walker by multiple small traps located inside a bounded two-dimensional domain with reflective boundaries. As motivation fo
Externí odkaz:
http://arxiv.org/abs/1607.08095
Autor:
Tzou, Justin C., Kevrekidis, Panayotis G., Kolokolnikov, Theodore, Carretero-Gonzalez, Ricardo
For a dissipative variant of the two-dimensional Gross-Pitaevskii equation with a parabolic trap under rotation, we study a symmetry breaking process that leads to the formation of vortices. The first symmetry breaking leads to the formation of many
Externí odkaz:
http://arxiv.org/abs/1509.02998
For a random walk on a confined one-dimensional domain, we consider mean first passage times (MFPT) in the presence of a mobile trap. The question we address is whether a mobile trap can improve capture times over a stationary trap. We consider two s
Externí odkaz:
http://arxiv.org/abs/1410.1391
We compute the mean first passage time (MFPT) for a Brownian particle inside a two-dimensional disk with reflective boundaries and a small interior trap that is rotating at a constant angular velocity. The inherent symmetry of the problem allows for
Externí odkaz:
http://arxiv.org/abs/1405.2302