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Evolution Equations and Integrable Systems

Organizer(s):
Name:	Affiliation:	Country:
Alex Himonas	University of Notre Dame	USA
Curtis Holliman	The Catholic University of America	USA
Fangchi Yan	Virginia Tech	USA

Abstract:

The theme of this session is nonlinear evolution equations and integrable systems including the NLS equation, the KdV equation, the Camassa-Holm equation, and the Euler equations of hydrodynamics. Topics studied for these equations include, among others, traveling waves, initial and initial-boundary value problems, local and global well-posedness, inverse scattering, stability, and integrability.

List of approved abstract
Name	Affiliation	Title
Fredrik Hildrum	NTNU -- Norwegian University of Science and Technology	Periodic Holder waves in a class of negative-order dispersive equations
Georgia Himona	National Technical University of Athens	Phase reduction and response of a photonic oscillator
Alex Himonas	University of Notre Dame	Initial-boundary value problems for evolution equations via the Fokas method
Curtis Holliman	The Catholic University of America	Blow Up Conditions for Generalizations of the Camassa-Holm Equation
John Holmes	The Ohio State University	Continuity of the data-to-solution map for conservation laws
Maria Ntekoume	Rice University	Critical well-posedness for the derivative nonlinear Schr\odinger equation on the line
Gerson Petronilho	Universidade Federal de S\~ao Carlos	The Cauchy problem of a third-order dispersive Camassa-Holm equation with cubic nonlinearities
Gustavo Ponce	University of California-Santa Barbara	Unique continuation for the Benjamin-Ono eq. and the Camassa-Holm equation
Sarah Raynor	Wake Forest University	Finite Time Blowup for the Nonlinear Schrodinger Equation with a Delta Potential
Brian Reyes	University of Notre Dame	On the Cauchy problem of the modified b-family
Casey P Rodriguez	University of North Carolina at Chapel Hill	On elastic solids with strain-gradient elastic boundary surfaces
Dave Smith	Yale-NUS College	Fokas diagonalization
Shu-Ming Sun	Virginia Tech	Solutions of weakly dissipated KdV equations with variable coefficients on a periodic domain
Feride Tiglay	Ohio State University	Weak Diffeomorphisms and Solutions to Conservation Laws
Fangchi Yan	Virginia Tech	The well-posedness of a KdV system on the half-line
Qingtian Zhang	West Virginia University	Global solutions of quasilinear mKdV equations