Research
Analysis Seminar – Chang Yu, University of Florida
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Global solutions of the compressible Navier-Stokes equations Abstract : In this talk, I will talk about the existence of global weak solutions for the compressible Navier-Stokes equations, in particular, the viscosity coefficients depend on the density. Our main contribution is to further develop renormalized techniques so that the Mellet-Vasseur type inequality is not necessary for
Colloquium – Xiaobing Feng, University of Tennessee, Knoxville
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Phase field method for geometric moving interface problems and their numerical approximations Abstract: In this talk I shall first give a brief introduction to the phase field method for general geometric moving interface problems. The focus will be on presenting its idea, formulation,and relationship to other methods for moving interface problems such as the
Analysis Seminar – Tim Ferguson (University of Alabama)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Bergman and Szego projections, Extremal Problems, and Square Functions Abstract: We study estimates for Hardy space norms of analytic projections. We first find a sufficient condition for the Bergman projection of a function in the unit disc to belong to the Hardy space $H^p$ for $1 < p < \infty$. We apply the result to prove
Analysis Seminar – Yuanzhen Shao (University of Alabama
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: The Fractional Porous Medium Equation on Manifolds with Conic Singularities Abstract: Due to the need to model long range diffusive interaction, during the last decade there has been a growing interest in considering diffusion equations involving non-local operators, e.g. the fractional powers of differential operators. In this talk, I will report some recent work
Colloquium – Changyou Wang (Purdue University)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Analysis of hydrodynamics of nematic liquid crystals Abstract: The orientation of Liquid crystal molecules has their preferable direction and exhibits an optical structure. Liquid crystal can also been viewed as an intermediate state between the liquid and the solid states. Given the importance, people have studied liquid crystals from the view point of modeling, computation, analysis, and engineering. In
Applied Math Seminar – Yajun Mei (Georgia Tech)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Bandit change-point detection and its application Abstract: We investigate the problem of bandit change-point problem when monitoring high-dimensional streaming data in resources constrained environments, where one has limited capacity in data acquisition, transmission or processing, and needs decide how to smartly observe which local components or features of high-dimensional streaming data at each and
Analysis Seminar – Xuan Wang (University of Alabama)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Harmonic Conjugation in Variable Exponent Harmonic Bergman Spaces Abstract: I will talk about the harmonic conjugation in variable harmonic Bergman space. In the first part of the talk, I'll provide an overview of the main result for constant exponent spaces. Then I'll illustrate our latest research on the boundedness of harmonic conjugation in variable harmonic Bergman
Colloquium: Jo Ellis-Monaghan (Saint Michael’s College)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Combinatorial, topological, and computational approaches to DNA self-assembly. Abstract: Applications of immediate concern have driven some of the most interesting questions in the field of graph theory, for example graph drawing and computer chip layout problems, random graph theory and modeling the internet, graph connectivity measures and ecological systems, etc. Currently, scientists are engineering
Pi Mu Epsilon Seminar – Yuanzhen Shao (University of Alabama)
302 Gordon Palmer HallTitle: The geometry behind phase transitions in physics
Applied Math Seminar – Karl Glasner (University of Arizona)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesMathematical Aspects of Nanoscale Self-Assembly Self-assembly is a fundamental process for creation of both biological and synthetic materials. The latter are being employed in important biotechnological applications like drug delivery, as well as forming the basis for molecular sized machines. Recent advances in nanoscale fabrication in polymer systems, in particular, has lead to growing interest