Hopf Bifurcations of Moore-Greitzer PDE Model with Additive Noise [0.03%]
带加性噪声的Moore-Greitzer偏微分方程模型的Hopf分支问题
Yiming Meng,N Sri Namachchivaya,Nicolas Perkowski
Yiming Meng
The Moore-Greitzer partial differential equation (PDE) is a commonly used mathematical model for capturing flow and pressure changes in axial-flow jet engine compressors. Determined by compressor geometry, the deterministic model is charact...
Adaptive Image Processing: First Order PDE Constraint Regularizers and a Bilevel Training Scheme [0.03%]
自适应图像处理：一阶偏微分方程约束正则化及双层训练方案
Elisa Davoli,Irene Fonseca,Pan Liu
Elisa Davoli
A bilevel training scheme is used to introduce a novel class of regularizers, providing a unified approach to standard regularizers T G V 2 and N s T G V 2 . Optimal parameters and regularizers are identified, and the existence of a sol...
Nearly Periodic Maps and Geometric Integration of Noncanonical Hamiltonian Systems [0.03%]
准周期映射和非典范哈密顿系统的几何积分法
J W Burby,E Hirvijoki,M Leok
J W Burby
M. Kruskal showed that each continuous-time nearly periodic dynamical system admits a formal U(1)-symmetry, generated by the so-called roto-rate. When the nearly periodic system is also Hamiltonian, Noether's theorem implies the existence o...
An Explicit Adaptive Finite Difference Method for the Cahn-Hilliard Equation [0.03%]
一个求解Cahn-Hilliard方程的自适应显式差分方法
Seokjun Ham,Yibao Li,Darae Jeong et al.
Seokjun Ham et al.
In this study, we propose an explicit adaptive finite difference method (FDM) for the Cahn-Hilliard (CH) equation which describes the process of phase separation. The CH equation has been successfully utilized to model and simulate diverse ...
Accelerated Optimization on Riemannian Manifolds via Discrete Constrained Variational Integrators [0.03%]
具约束离散变分积分器的流形优化算法
Valentin Duruisseaux,Melvin Leok
Valentin Duruisseaux
A variational formulation for accelerated optimization on normed vector spaces was recently introduced in Wibisono et al. (PNAS 113:E7351-E7358, 2016), and later generalized to the Riemannian manifold setting in Duruisseaux and Leok (SJMDS,...
Paolo Piovano,Igor Velčić
Paolo Piovano
The continuum model related to the Winterbottom problem, i.e., the problem of determining the equilibrium shape of crystalline drops resting on a substrate, is derived in dimension two by means of a rigorous discrete-to-continuum passage by...
Yu-Jhe Huang,Hsuan Te Huang,Jonq Juang et al.
Yu-Jhe Huang et al.
In this paper, we propose and analyze a nonsmoothly two-dimensional map arising in a seasonal influenza model. Such map consists of both linear and nonlinear dynamics depending on where the map acts on its domain. The map exhibits a complic...
Francisco de la Hoz,Sandeep Kumar,Luis Vega
Francisco de la Hoz
The aim of this paper is twofold. First, we show the evolution of the vortex filament equation (VFE) for a regular planar polygon in the hyperbolic space. Unlike in the Euclidean space, the planar polygon is open and both of its ends grow u...
Analysis and Optimal Velocity Control of a Stochastic Convective Cahn-Hilliard Equation [0.03%]
随机传质Cahn-Hilliard方程的分析及最优速度控制问题
Luca Scarpa
Luca Scarpa
A Cahn-Hilliard equation with stochastic multiplicative noise and a random convection term is considered. The model describes isothermal phase-separation occurring in a moving fluid, and accounts for the randomness appearing at the microsco...
Daozhou Gao,Yuan Lou
Daozhou Gao
Based on a susceptible-infected-susceptible patch model, we study the influence of dispersal on the disease prevalence of an individual patch and all patches at the endemic equilibrium. Specifically, we estimate the disease prevalence of ea...