Spyridon Kamvissis

Professor of Integrable Systems in Mathematical Physics Department of Applied Mathematics, University of Crete 71409 Knossos-Heraklion, Crete, Greece Office: Γ-103&beta, Main Building Tel: +30 2810 393714 Fax: +30 2810 393701 E-mail: spyros at tem.uoc.gr

Degrees

Ph.D., Courant Institute, 1991

Habilitation, University of Paris VII (Jussieu), 1996

Research

My research focuses on "completely integrable" infinite dimensional Hamiltonian systems, like the KdV equation, the nonlinear Schrödinger equation or the Toda lattice. I am particularly interested in asymptotic problems like the investigation of the long time asymptotics or semiclassical and zero dispersion limits (or continuum limits) of solutions of initial and initial-boundary value problems for nonlinear dispersive partial differential equations and nonlinear lattices. My methods include the analysis of Riemann-Hilbert factorization problems on the complex plane or a hyperelliptic Riemann surface and variational problems for logarithmic potentials with external fields. In a sense I am working 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.

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

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 Schroedinger 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.

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;
comment/addendum: revision of the last appendix, Journal of Mathematical Physics, v.50, n.10, 2009.

Spyridon Kamvissis, Gerald Teschl, Stability of the Periodic Toda Lattice under Short Range Perturbations, arXiv:0705.0346

More Publications

in MathSciNet

in arXiv

Teaching

XEIMEPINO 2009: ANAΛYΣH I (TEM-141).

EAPINO 2010: MΔE II (METAΠTYXIAKO).

XEIMEPINO 2010: ΣTOXAΣTIKEΣ ANEΛIΞEIΣ I (TEM-261).

EAPINO 2011: APMONIKH ANAΛYΣH (B4-METAΠTYXIAKO).

XEIMEPINO 2011: ANAΛYΣH I (TEM-141).

1o SET - 1.1, 1.2, 1.3, 1.4, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 3 (OΛO), 6.1, 6.2, 6.4

2o SET - ΠPΩTO KEΦAΛAIO: 1.1,1.2,1.3,1.6,1.7,1.8

EAPINO 2012: ΣTOXAΣTIKEΣ ANEΛIΞEIΣ II (TEM-262):

KYPIA ANAΦOPA: Basic Stochastic Processes, Zdzislaw Brzezniak and Tomasz Zastawniak, Springer-Verlag, London 1999, KEΦAΛAIA 1, 2, 3, 6, 7

ΩPEΣ ΓPAΦEIOY: TPITH 3-5, TETAPTH 11-1