Tuesday, May 19

MS60
RG: The Renormalization Group, Analytical Techniques, Applications and Theory - Part I of II

8:30 AM - 10:30 AM
Room: Magpie B

For Part II, see MS71

The Renormalization Group (RG) has had a remarkable success in the past 15 years in obtaining asymptotic results to differential equations describing physical processes from cosmology to material science to fluids avoiding the complications of the more well-known methods (matched asymptotic expansions, WKB, multiple scales etc). This minisymposium will address recent attempts to simplify/elucidate/interpret the method (analytical techniques), demonstrate its power through representative problems describing Nature (applications) and introduce new formalisms for laying down its mathematical foundations (Theory). This MS will act as a means to increase the visibility of the RG in applied mathematics.

Organizer: Eleftherios Kirkinis
University of Washington
Hayato Chiba
Kyoto University, Japan

8:30-8:55 Review of the RG Approach and Analytical Techniquesand Future Directions

Eleftherios Kirkinis, University of Washington

9:00-9:25 Extension and Unification of Traditional Singular Perturbation Methods for ODEs

Hayato Chiba, Kyoto University, Japan

9:30-9:55 Renormalization, Normal Forms, Logarithms, and Geometric Desingularization

Tasso J. Kaper and Matthew Holzer, Boston University

10:00-10:25 Renormalizations for Various Time-delay Systems

Shin-itiro Goto, Lancaster University, Lancaster, United Kingdom

Cancelled 9:00-9:25 An RG-derivation of Relativistic Hydrodynamic Equations for Viscous Fluids

Teiji Kunihiro, Kyoto University, Japan