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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
Dionyssis Mantzavinos	University of Kansas	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-boundary value problems, local and global well-posedness, inverse scattering, stability, and integrability.

List of approved abstract
Name	Affiliation	Title
Jerry Bona	University of Illinois at Chicago	The KdV equation on the half-line: Time-periodicity and mass transport
Hongqiu Chen	University of Memphis	Long periodic limit of a higher order nonlinear dispersive equation
Erin L Compaan	The Charles Stark Draper Laboratory	Sharp well--posedness for the generalized KdV of order three on the half line
Fredrik Hildrum	NTNU -- Norwegian University of Science and Technology	Solitary waves in dispersive evolution equations of Whitham type with nonlinearities of mild regularity
Alex Himonas	University of Notre Dame	On analyticity of solutions to local and non-local equations
Curtis Holliman	The Catholic University of America	Instability and Nonuniqueness for Generalizations of Novikov`s Equation
Justin Holmer	Brown University	Orbital stability of dark solitons for the 1D Gross Pitaevskii equation
John M Holmes	Wake Forest University	Nonuniqueness for the ab-family of equations
Alex Kasman	College of Charleston	Quaternion-Valued Solutions of the KdV Equation
Carlos Misael Madrid Padilla	University of Notre Dame	The Cauchy problem for a modified b-equation
Zhijun G Qiao	University of Texas Rio Grande Valley	Negative order flows and integrable peakon equations
Casey P Rodriguez	Massachusetts Institute of Technology	The Radiative Uniqueness Conjecture for Bubbling Wave Maps
Jacek Szmigielski	University of Saskatchewan	A 2-component Camassa-Holm equation, the Euler Beam Problem and Non-Commutative Continued Fractions
Feride Tiglay	Ohio State University	Integrating evolution equations using Fredholm determinants
Maria Christina van der Weele	University of Cambridge	On the Dirichlet-to-Neumann map for Integrable Evolution Equations
Fangchi Yan	Virginia Tech	Well-posedness of the initial-boundary value problem for KdV type equations