Evolution Equations and Integrable Systems

 Organizer(s):
Name:
Affiliation:
Country:
Alex Himonas
University of Notre Dame
USA
Fangchi Yan
Virginia Tech
USA
 Introduction:  
  Linear and nonlinear evolution equations have been at the forefront of advances in partial differential equations for a long time. They are involved in beautiful, yet extremely challenging problems, with a strong physical background, for which progress is achieved through a mixture of techniques lying at the interface between analysis and integrable systems. Topics studied for these equations include, among others, traveling waves, initial-boundary value problems, local and global well-posedness, inverse scattering, stability, and integrability.