CAMEL: Club of Amazing Mathematics and Engineering Ladies
Camel was founded in Fall, 2011, at the University of Minnesota. This is the place where we gather, grow and lead to success together. This is the place which we will keep in our memory forever.
Members:
Huiqiong Deng, Xiaoqing He, Xingjie Li, Zhihua Su, Yi Wang, Hao Zhu
Events:
Feb 10, 2012, 4 - 5 pm, Hui Li, The von Kaman theory for incompressible elastic shells.
Abstract: Starting from the 3d nonlinear elasticity, we rigorously derive the von Karman thin shell theory for incompressible materials. In case of thin plates, the Euler-Lagrange equations of the limiting energy functional give the incompressible version of the classical von Karman equations, obtained formally in the limit of Poisson's ratio v to 1/2. Our analysis applies as well to more general case of shells, i.e. thin films with midsurface of arbitrary eometry, as long as they satisfy the following approximation property: C^3 first order infinitesimal isometries are dense in the space of all W^{2,2} infinitesimal isometries. The class of surfaces with this property includes: subsets of R^2 , convex surfaces, developable surfaces and rotationally invariant surfaces. Our analysis relies on the modern methods of calculus of variations and analysis. This is a joint work with Milena Chermisi, under the guidiance of Professor Marta Lewicka.
Feb 3, 2012, 4 - 5 pm, Xiaoqing He, Co-existence in spatial heterogeneous Lotka-Volterra competition-diffusion system.
Abstract: Ever since the Multhus population model was first proposed in 1798, people developed many new models to analyse the competition between different species. An interesting question in ecology is how spatial variation coupled with diffusion affects the competition of two species. Continuing the work after Y.Lou by using a competition-diffusion model, we shall illustrate that if one species can not take up all resources of the other species, then the later can always survive by adopting a small enough migration rate. Thus a stable co-existence is in general possible, which in part explains the paradox of competitive exclusion.
Jan 27, 2012, 4 - 5 pm, Xingjie Li, Positive-Deniteness of the Blended Force-Based Quasicontinuum Method.
Abstract: The development of consistent and stable atomistic-to-continuum coupling models for multi-dimensional crystalline solids remains a challenge. For example, proving stability of the force-based quasicontinuum (QCF) model remains an open problem. In 1D and 2D, we show that by blending atomistic and Cauchy-- Born continuum forces (instead of a sharp transition as in the QCF method) one obtains positive-de finite blended force-based quasicontinuum (B-QCF) models. We establish sharp conditions on the required blending width.
Jan 20, 2012, 4 - 5 pm, Yi Wang, Robust Locally Linear Analysis and Its Applications.
Abstract: I will talk about the problems of denoising images corrupted by impulsive noise and blind inpainting (i.e., inpainting when the deteriorated region is unknown). Our basic approach is to model the set of patches of pixels in an image as a union of low-dimensional subspaces, corrupted by sparse but perhaps large magnitude noise. For this purpose, we develop a robust and iterative method for single subspace modeling and extend it to an iterative algorithm for modeling multiple subspaces. I will also cover the convergence for the algorithm and demonstrate state of the art performance of our method for both imaging problems.
Jan 13,2012, 4 - 5 pm, Hao Zhu, Efficient Monitoring and Optimizing the Smart Power Grid.
Abstract: The smart grid vision is to revitalize the electric power grid by capitalizing on advanced sensing, machine learning, optimization, communication, and control technologies to address the pressing issues related to security, stability, environmental impact, market diversity, and renewable energy sources. This talk will first introduce with the general smart grid and power system terminology and discuss existing challenges. Further, I will talk about my work on developing tools for fast and accurate unveiling of power line outages, by adapting the recent advances in compressive sensing.