Title: Geometric Optimization Involving Partial Differential Equations and Its Applications Speaker: Professor Chiu-Yen Kao, Claremont McKenna College, Claremont, CA USA Abstract: Optimal geometric design for energy functionals, which depends on solutions to partial […]
Title: On Nonlinear Schrödinger Type Equations: Wave Modulation and Mathematical Analysis Abstract: The nonlinear Schrödinger (NLS) equation describes the evolution of slowly varying packets of quasi-monochromatic waves in weakly nonlinear dispersive media. The NLS equation with soliton solutions is one of the significant and widely pursued research areas on the nonlinear wave motions. Sub-studies on […]
Title: The fractional p-Laplacian operator. Motivation for its definition and related boundary value problems Abstract: Last decades, nonlocal operators, as the fractional Laplacian, have gained to much attention due to […]
Title: Controlling the unmanageable: insight into control methods for biological systems Abstract: When formulating a model for a biological system, often we want to use the model to understand the […]
Title: How well do neurons, humans, and artificial neural networks predict? Abstract: Sensory prediction is thought to be vital to organisms, but few studies have tested how well organisms and parts of organisms efficiently predict their sensory input in an information-theoretic sense. In this talk, we report results on how well cultured neurons ("brain in […]
Title: TBD Abstract: TBD
Title: Mathematical models studying the effectiveness of control strategies for malaria Abstract: According to the 2023 World Malaria Report: Nearly half the world's population lives in areas at risk of […]
Title: Designing Robust Networks of Coupled Phase Oscillators with Applications to the High-Voltage Electric Grid Abstract: A network is any collection of objects, called nodes, in which some pairs of […]
Title: Renormalization and wild attractors for Fibonacci maps Abstract: A Fibonacci map is a piecewise defined map of a subset of an interval I onto I with a unique critical […]
Title: Smooth non-decaying solutions to the 2D dissipative quasi-geostrophic equations Abstract: In this talk we explore the two-dimensional dissipative surface quasi-geostrophic (SQG) equation with fractional diffusion of order 2α for […]
