The Microscopic Derivation and Well-Posedness of the Stochastic Keller-Segel Equation [0.03%]
随机Keller-Segel方程的微观导出及适定性问题研究
Hui Huang,Jinniao Qiu
Hui Huang
In this paper, we propose and study a stochastic aggregation-diffusion equation of the Keller-Segel (KS) type for modeling the chemotaxis in dimensions d = 2 , 3 . Unlike the classical deterministic KS system, which only allows for idiosyn...
Darryl D Holm
Darryl D Holm
We are modelling multiscale, multi-physics uncertainty in wave-current interaction (WCI). To model uncertainty in WCI, we introduce stochasticity into the wave dynamics of two classic models of WCI, namely the generalised Lagrangian mean (G...
From Large Deviations to Semidistances of Transport and Mixing: Coherence Analysis for Finite Lagrangian Data [0.03%]
从大偏差到传输和混合的半距离：有限拉格朗日数据的连贯性分析
Péter Koltai,D R Michiel Renger
Péter Koltai
One way to analyze complicated non-autonomous flows is through trying to understand their transport behavior. In a quantitative, set-oriented approach to transport and mixing, finite time coherent sets play an important role. These are time...
Identification of Stochastically Perturbed Autonomous Systems from Temporal Sequences of Probability Density Functions [0.03%]
利用概率密度函数的时间序列识别受随机摄动的自治系统
Xiaokai Nie,Jingjing Luo,Daniel Coca et al.
Xiaokai Nie et al.
The paper introduces a method for reconstructing one-dimensional iterated maps that are driven by an external control input and subjected to an additive stochastic perturbation, from sequences of probability density functions that are gener...
Antonio Degasperis,Sara Lombardo,Matteo Sommacal
Antonio Degasperis
It is well known that the linear stability of solutions of 1+1 partial differential equations which are integrable can be very efficiently investigated by means of spectral methods. We present here a direct construction of the eigenmodes of...
Mean Field Limits for Interacting Diffusions in a Two-Scale Potential [0.03%]
双尺度位势中相互作用扩散的 mean field 限制
S N Gomes,G A Pavliotis
S N Gomes
In this paper, we study the combined mean field and homogenization limits for a system of weakly interacting diffusions moving in a two-scale, locally periodic confining potential, of the form considered in Duncan et al. (Brownian motion in...
Stochastic Geometric Models with Non-stationary Spatial Correlations in Lagrangian Fluid Flows [0.03%]
具有非平稳空间相关性的拉格朗日流体流动的随机几何模型
François Gay-Balmaz,Darryl D Holm
François Gay-Balmaz
Inspired by spatiotemporal observations from satellites of the trajectories of objects drifting near the surface of the ocean in the National Oceanic and Atmospheric Administration's "Global Drifter Program", this paper develops data-driven...
Reduced Models for Ferromagnetic Thin Films with Periodic Surface Roughness [0.03%]
具有周期表面粗糙度的铁磁薄膜的简化模型
M Morini,V Slastikov
M Morini
We investigate the influence of periodic surface roughness in thin ferromagnetic films on shape anisotropy and magnetization behavior inside the ferromagnet. Starting from the full micromagnetic energy and using methods of homogenization an...
Transition Manifolds of Complex Metastable Systems: Theory and Data-Driven Computation of Effective Dynamics [0.03%]
复杂元稳定系统过渡流形的理论及有效动力学的数据驱动计算
Andreas Bittracher,Péter Koltai,Stefan Klus et al.
Andreas Bittracher et al.
We consider complex dynamical systems showing metastable behavior, but no local separation of fast and slow time scales. The article raises the question of whether such systems exhibit a low-dimensional manifold supporting its effective dyn...
On the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One [0.03%]
一维尺寸 peel测试动态演化准静态极限的讨论
Giuliano Lazzaroni,Lorenzo Nardini
Giuliano Lazzaroni
The aim of this paper is to study the quasistatic limit of a one-dimensional model of dynamic debonding. We start from a dynamic problem that strongly couples the wave equation in a time-dependent domain with Griffith's criterion for the ev...