Title: The p-adic Numbers: From Local to Global Abstract: The often mentioned (but scarcely used at UNC) p-adic numbers play a role in many branches of mathematics (and even recently in quantum mechanics). This talk aims to give an introduction to p-adic … Read more
Title: Tailoring Tails in Taylor Dispersion - how boundaries shape chemical deliveries in microfluidics Abstract: We present the results of a combined computational, theoretical, and experimental investigation of the dispersion of a passive scalar in laminar shear flow through rectangular and … Read more
Title: Problems with HIV…and problems with modeling the problems with HIV Abstract: A cure for HIV/AIDS remains challenging, so it's important to find effective ways to prevent HIV infection. A promising strategy is to use antibodies and mucus to cooperatively … Read more
Title: Applications of the biHamiltonian structure of the Korteweg-de Vries equation Abstract: Hamiltonian mechanics (along with its complement, Lagrangian mechanics) is a common formulation of classical dynamics. After reviewing the geometric structure of finite-dimensional Hamiltonian systems, we generalize to Hamiltonian partial … Read more
Title: An experimental study of oil drops rising through density-stratified fluid at low Reynolds number Abstract: A drop of immiscible fluid rising through two density-stratified, miscible fluid layers slows to below terminal velocity due to the deformation of the fluid density … Read more
Title: Data Assimilation From a Bayesian Perspective Abstract: The abundance of oceanic and atmospheric data presents the question of how to incorporate this data into scientific models. Data assimilation is the process by which observations are fused with these models. … Read more
Title: Modeling nucleosomal DNA in living yeast Abstract: The genome in living yeast cells is a highly dynamic system where entropic interactions and nuclear confinement drive the formation of domains of high chromosomal interaction, known as topologically associating domains. In this talk, … Read more
Title: Localized energy for wave equations with degene= rate trapping Abstract: Local smoothing estimates for the Schr{\textasciidieresis}odinger equation are well established and show that locally in space and averaged in time, solutions gain one half of a derivative in regularity … Read more
Title: Introduction to Monte Carlo methods for Advection Diffusion Abstract: My thesis work concerns analyzing how the shape of a tracer distribution in a steady pipe flow is influenced by the shape of the pipe. To numerically study this, I … Read more
Title: Introduction to Monte Carlo methods for Advection Diffusion Abstract: My thesis work concerns analyzing how the shape of a tracer distribution in a steady pipe flow is influenced by the shape of the pipe. To numerically study this, I … Read more
Title: Introduction to Monte Carlo methods for Advection Diffusion Abstract: My thesis work concerns analyzing how the shape of a tracer distribution in a steady pipe flow is influenced by the shape of the pipe. To numerically study this, I … Read more
