IAS Focused Program

  • Start Date: 12/11/2017
  • End Date: 12/15/2017
Location: 

Hong Kong

Topic: 

Frontiers of Theory and Applications of Nonlinear Partial Differential Equations

Description: 

The interdisciplinary study of Partial Differential Equations (PDEs) provides a major bridge between mathematics and many other disciplines in basic and applied sciences. A wide range of real life phenomena and devices are governed by and studied using PDE models, e.g. musical sound propagation versus shock waves, gentle water movement versus tsunamis, competition and coexistence of species in population dynamics, mid- and long-term weather forecasts, the productivity of an enhanced oil recovery process, and pollutant cleanup in ground water ecology. These examples are traditionally modeled using Euler and Navier-Stokes systems in continuum mechanics, Boltzmann equations in kinetic theory, reaction-diffusion systems in biology and chemical engineering, and Maxwell’s equation in magnetohydrodynamics. The theoretical studies of such equations also have fundamental importance in modern mathematical physics and geometry. Some of the applications require more robust high-resolution numerical methods supported by further theoretical understanding of the PDEs.

 

 

The five-day focused program will bring together both pure and applied mathematicians with a focus on research frontiers in the field of nonlinear PDEs.

Schedule: 

Details will be available in due course.

Organizers:

Tianling Jin, The Hong Kong University of Science and Technology

 

Gunther Uhlmann, The Hong Kong University of Science and Technology, (IAS Si Yuan Professor of HKUST Jockey Club Institute for Advanced Study)

 

Xiao-Ping Wang, The Hong Kong University of Science and Technology,
(Senior Fellow of HKUST Jockey Club Institute for Advanced Study)

 

Michael Ward, The University of British Columbia

 

Jun-cheng Wei, The University of British Columbia

Other Information: 

Please see here for further information.