MS43 ~ Wednesday, May 24, 1995 ~ 10:00 AM

Wave Front Formation in Singular Perturbation Problems

Over the past two decades, considerable progress has been made on wave front formation in singularly perturbed partial differential equations. Applications occur in many important areas in physical and biological sciences. Various methods, including numerical simulation, formal series expansions, maximum principle, energy methods, spectral methods, topological method and invariant manifold theory have been used. The speakers will discuss new physical models that generate sharp wave front solutions, and will describe new mathematical techniques for studying wave front formations. Our emphasis is on equations in higher dimensional spaces, or equations with higher order differential operators.

Organizer: Xiao-Biao Lin, North Carolina State University

Slow Motion in N-dim for Some Diffused Interface Models Via Energy and Spectral Estimates
Nicholas Alikakos, University of Tennessee, Knoxville; Lia Bronsard, McMaster University, Canada; and Georgio Fusco, Universita de Roma II, Italy
Travelling Waves in Higher Order Phase Field Systems
Peter W. Bates, Brigham Young University
Theories of Grain Boundary Motion in Material Science
Paul C. Fife, University of Utah; John W. Cahn, National Institute for Standards and Technology; and O. Penrose, Heriot-Watt University, Scotland
Shadowing Matching Errors for Wave-Front-Like Solutions
Xiao-Biao Lin, Organizer