Activities

• Reading seminar(CRN 60277, MAT-290-82): Model Reduction and Inverse Problems
  (Spring 2005) Thursday 1:40pm-3:00pm, 693 Kerr
• Reading seminar: control and estimation of infinite-dimensional systems
  (Winter 2005) Tuesday 1:40pm-3:00pm, 693 Kerr
• PDE Seminar (MAT290-82, CRN 49760): (Fall and Winter) Thursday 1:40pm, 693 Kerr Hall
  Lecture notes and slides from PDE seminar
  • Linear wave estimates (Jianfeng Liang, UCDavis)
  • Detection and imaging in a strongly cluttered environment (Knut Solna, UC Irvine))
  • Imaging and propagation in multiscale media (Knut Solna, UC Irvine)
• Reading Seminars: Linear and Nonlinear Waves
  (Fall 2005) Tuesday 1:40-3:00pm, 693 Kerr Hall
• Related course: Stochastic Dynamics (Fall 04 and Winter 05) Tu-Th 10:30-11:50 am
• Workshop for Prelimenary Exam on Analysis: September 20-23, 2004
  • Lecture/discussion sessions: 10 am-12pm, 693 Kerr Hall
    
  • Problem solving sessions: 2-4pm, 693 Kerr Hall
  • Topics

Topics

• Fall 2004: Linear and nonlinear waves
  • Well-posedness
  • singularity formation
  • multi-scale analysis; homogenization
  • diffraction problems
  • Reation-advection-diffusion equation
• Winter 2005: Control of PDEs
  • dimension reduction
  • homogenization
  • inertial manifolds
• Spring 2005: Imaing and inverse problems
  • diffusion and wave on manifolds and connections to image analysis
  • Dirichlet-to-Neumann maps
  • near-field and far-field imaging
  • inverse problem
  • multi-scaled physical models: dimension reduction.