Applied Math Seminar

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 differential equations, provides a vast number of interesting and challenging mathematical problems. One of the famous problems is that L. Rayleigh conjectured that the disk […]

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 […]