Panos Kevrekidis

Distinguished University Professor

Faculty,
Full Professor
P.G. Kevrekidis
Contact
Email
Email
Phone
Personal Webpage
Location
LGRT 1559

Professor Kevrekidis studies a variety of systems chiefly stemming from the mathematical physics of optical systems (waveguide arrays and optical fibers), as well as from the soft-condensed matter setting of Bose-Einstein Condensates. The research mainly revolves around the existence, stability and dynamics of localized (solitary wave) structures in such one-, two- and three-dimensional setups, often described by equations of Nonlinear Schrodinger or Klein-Gordon type. While the settings under study are principally Hamiltonian in nature (often featuring external potentials, or being genuinely discrete and posed on, so-called, dynamical lattices), occasionally dissipative perturbations thereof are also considered. Besides this main thrust of research Professor Kevrekidis also maintains a wide variety of additional interests including mathematical biology [especially tumor angionesis, nephron dynamics and DNA models], simple cosmological models, the nucleation of liquid droplets in the atmosphere, gelation and related phase transition phenomena in polymers, aerosol dynamics in the atmosphere and in the human body [inhalation and desposition of particles in the respiratory tract], catalytic chemistry and reaction-diffusion models, and dynamics and energy landscapes of glassy materials among others.

Education

Ph.D. Rutgers University, 2000

M. Phil. Rutgers University, 2000

M.S. Rutgers University, 1998

B.Sc. University of Athens, 1996

RESEARCH INTERESTS

Mathematical Physics; Nonlinear PDEs and DDEs; Dynamical Systems; Nonlinear Waves; Mathematical Biology

Book Publications (Also: > 750 Research Papers, h-Index: 70 WoS, 87 Google Scholar)

  •  P.G. Kevrekidis, D.J. Frantzeskakis and R. Carretero-Gonzalez (Eds.),
     Emergent Nonlinear Phenomena in Bose-Einstein Condensates, Springer
     Series in Atomic, Molecular and Optical Physics, vol. 45, Springer-
     Verlag, Heidelberg (2008).
  • P.G. Kevrekidis, The Discrete Nonlinear Schr¨odinger Equation: Mathematical
    Analysis, Numerical Computation and Physical Perspectives,
    Springer Tracts in Modern Physics, Springer-Verlag, Heidelberg, 415
    pages (2009).
  • R. Carretero-Gonzalez, J. Cuevas, D.J. Frantzeskakis, N.I. Karachalios,
    P.G. Kevrekidis and F. Palmero (Eds.), Localized Excitations in Nonlinear
    Complex Systems (LENCOS’12), Nonlinear Systems and Complexity
    Series, Springer-Verlag, 400 pages (2013).
  • J. Cuevas, P.G. Kevrekidis, F.L. Williams (Eds.), The sine-Gordon
    Model and its Applications: From Pendula and Josephson Junctions to
    Gravity and High Energy Physics, Nonlinear Systems and Complexity
    Series, Springer-Verlag, Heidelberg, 263 pages (2014).
  • P.G. Kevrekidis, D.J. Frantzeskakis, R. Carretero-Gonzalez, The defocusing
    nonlinear Schr¨odinger equation: from dark solitons, to vortices
    and vortex rings, SIAM, Philadelphia, 435 pages (2015).
  • C. Chong, P.G. Kevrekidis, Coherent Structures in Granular Crystals,
    From Experiment and Modeling to Computation and Mathematical
    Analysis, Springer Nature, Heidelberg, 94 pages (2018).
  • P.G. Kevrekidis, J. Cuevas-Maraver (Eds.), A Dynamical Perspective
    on the ϕ4 model, Nonlinear Systems and Complexity Series, Springer
    Nature, 311 pages (2019).
  • P.G. Kevrekidis, J. Cuevas-Maraver, A. Saxena (Eds.), Emerging Frontiers
    in Nonlinear Science, Nonlinear Systems and Complexity Series,
    Springer Nature, 373 pages (2020).
  • P.G. Kevrekidis, J. Cuevas-Maraver, Fractional Dispersive Models and
    Applications, Nonlinear Systems and Complexity Series, Springer Nature,
    337 pages (2024).
  • R. Carretero-Gonzalez, D.J. Frantzeskakis, P.G. Kevrekidis, Nonlinear
    Waves & Hamiltonian Systems: From One To Many Degrees of Freedom,
    From Discrete To Continuum, 560 pages (2024).