Spyridon Kamvissis

Professor of Integrable Systems in Mathematical Physics, University of Crete
Collaborating Researcher, Institute of Applied and Computational Mathematics, Foundation for Research & Technology - Hellas (FORTH)
Office: Δ338, Mathematics Building, 70013 Voutes, Greece
Tel: +30 2810 393714
E-mail: spyros AT tem.uoc.gr

Degrees

Ph.D., Courant Institute, 1991

Habilitation, University of Paris VII (Jussieu), 1996

Research

My research has focused mostly on "completely integrable" infinite dimensional Hamiltonian systems, like the KdV equation, the nonlinear Schrödinger equation and the Toda lattice. I have been particularly interested in asymptotic problems like the investigation of long time asymptotics, semiclassical asymptotics, zero dispersion limits and continuum limits of solutions of initial and initial-boundary value problems for nonlinear dispersive partial differential equations and nonlinear lattices, including difficult problems involving instabilities (like the so-called modulational instability). I have used and extended techniques from PDE theory, complex analysis, harmonic analysis, potential theory and algebraic geometry. Along the way, I have made contributions to the analysis of Riemann-Hilbert factorisation problems on the complex plane or a hyperelliptic Riemann surface and the theory of variational problems for Green potentials with harmonic external fields. In a sense I have worked on a "nonlinear microlocal analysis" that generalises the classical theory of stationary phase and steepest descent; for a detailed exposition of this point of view see this review article.

ARISTEIA II grant n.3964, funded by the Greek General Secretariat of Research and Technology

Archimedes Center for Modeling, Analysis and Computation, Department of Applied Mathematics, University of Crete

ESF Conference, Erwin Schrödinger Institute, Vienna, July 2011

European Network in Geometry, Mathematical Physics and Applications (Marie Curie RTN)

Methods of Integrable Systems, Geometry, Applied Mathematics (European Science Foundation Scientific Programme)

Selected Publications

Spyridon Kamvissis, On the Long Time Behavior of the Doubly Infinite Toda Lattice under Initial Data Decaying at Infinity, Communications in Mathematical Physics, v.153, n.3, pp.479-519, 1993

Percy Deift, Spyridon Kamvissis, Thomas Kriecherbauer, Xin Zhou, The Toda Rarefaction Problem, Communications in Pure and Applied Mathematics, v.49, n.1, pp. 35--83, 1996

Spyridon Kamvissis, Long Time Behavior for the Focusing Nonlinear Schrödinger Equation with Real Spectral Singularities, Communications in Mathematical Physics, v.180, n.2, pp.325-341, 1996

Spyridon Kamvissis, Semiclassical Nonlinear Schrödinger on the Half Line, Journal of Mathematical Physics, v.44, n.12, 2003

Spyridon Kamvissis, Kenneth D. T.-R. McLaughlin, Peter D. Miller, Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation, Annals of Mathematics Study 154, Princeton University Press, Princeton, NJ, 2003
Spyridon Kamvissis, Semiclassical Focusing NLS with Barrier Data, arXiv:math-ph/0309026
Spyridon Kamvissis, On the Analyticity of the Spectral Density for Semiclassical NLS, Max Planck Institute 2002; revised 2012

S.Kamvissis, E. A. Rakhmanov, Existence and Regularity for an Energy Maximization Problem in Two Dimensions, Journal of Mathematical Physics, v.46, n.8, 2005 (revised version);
addendum (Journal of Mathematical Physics, 2009)

Spyridon Kamvissis, Gerald Teschl, Stability of Periodic Soliton Equations under Short Range Perturbations, Phys. Lett. A 364-6, 480-483 (2007)
Spyridon Kamvissis, A Riemann-Hilbert Problem in a Riemann Surface; invited contribution to a volume honoring P.D.Lax on his 85th birthday, Acta Mathematica Scientia, v.31, n.6, November 2011, pp. 2233-2246.
Spyridon Kamvissis, Gerald Teschl, Long Time Asymptotics of the Periodic Toda Lattice under Short Range Perturbations, Journal of Mathematical Physics, v.53, n.7, 2012

D. C. Antonopoulou, S. Kamvissis, On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS Equation on the Half-Line, Nonlinearity 28 (2015) 3073-3099;
addendum (Nonlinearity, 2016)

More Publications

in MathSciNet

in arXiv

Teaching

XEIMEPINO 2009: ANAΛYΣH I

EAPINO 2010: MΔE II (METAΠTYXIAKO)

XEIMEPINO 2010: ΣTOXAΣTIKEΣ ANEΛIΞEIΣ I

EAPINO 2011: APMONIKH ANAΛYΣH (METAΠTYXIAKO)

XEIMEPINO 2011: ANAΛYΣH I

EAPINO 2012: ΣTOXAΣTIKEΣ ANEΛIΞEIΣ II

XEIMEPINO 2012: MIΓAΔIKH ANAΛYΣH (METAΠTYXIAKO)

EAPINO 2013: ANAΛYΣH II

XEIMEPINO 2013: MΔE I (METAΠTYXIAKO)

XEIMEPINO 2014: ΔYNAMIKA ΣYΣTHMATA (METAΠTYXIAKO)

EAPINO 2015: EΦAPMOΣMENH ΣYNAPTHΣIAKH ANAΛYΣH II (METAΠTYXIAKO)

XEIMEPINO 2015: ΣTOXAΣTIKEΣ ANEΛIΞEIΣ I

EAPINO 2016: EΦAPMOΣMENH ΣYNAPTHΣIAKH ANAΛYΣH II (METAΠTYXIAKO)

XEIMEPINO 2016: ANAΛYΣH I

EAPINO 2017: ΣYNAPTHΣIAKH ANAΛYΣH