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Nonlinear waves in rotating fluidsIn this presentation the non-trivial dynamics of nonlinear dispersive waves affected by the Coriolis force is discussed. Applications include surface and internal waves in the ocean, magnetic sound in plasma, and

Multidimensional Age-Structured ModelingCarbon fixation by cyanobacteria accounts for nearly 40% of the global total. A carbon concentrating mechanism facilitates this process by gathering the cell’s available carbon supply around the key enzymes,

A Localized Reduced-Order Modeling Approach for PDEs with Bifurcating Solutions Reduced-order modeling (ROM) commonly refers to the construction, based on a few solutions (referred to as snapshots) of an expensive discretized partial differential

Inspired by the gliding behavior of the paradise tree snake, Chrysopelea paradisi, I will discuss a simplified model for passive aerodynamic flight which gives an intuitive and dynamically rich 2 degree-of-freedom system. Within this model, all

Optimal Portfolio under Fractional Stochastic Environments Rough stochastic volatility models have attracted a lot of attention recently, in particular for the linear option pricing problem. In this paper, starting with power utilities, we propose

Geometric Quantum Hydrodynamics and the Evolution of Vortex Lineshe simplest manifestation of a circulatory field occurs when a vortex line breaks the simple connectivity of an otherwise irrotational fluid. Arnold's program tells us that the

Exploiting Low-Dimensional Structure in Optimization Under UncertaintyIn computational science, optimization under uncertainty (OUU) provides a new methodology for building designs reliable under a variety of conditions with improved efficiency over

Improving the accuracy of the trapezoidal ruleThe trapezoidal rule uses function values at equispaced nodes. It is very accurate for integrals over periodic intervals, but is usually quite inaccurate in non-periodic cases. Commonly used improvements

Nicholas Barendregt, Department of Applied Mathematics, University of ÃÛÌÇÖ±²¥ BoulderHeteroclinic Cycling and Extinction in Winnerless Competition Models with Demographic StochasticityThe winnerless competition formulated by May and Leonard gives a

A path from fractional Schrödinger equation to design and discovery of novel quantum materialsTransport phenomena in multi-scale classical systems, such as disordered media, porous materials, and turbulent fluids, are characterized by multiple