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Mathematics

D-Index
36
Citations
8832
World Ranking
2581
National Ranking
153

Research.com Recognitions

  • 2008 - Ampère Prize (Prix Ampère de l’Électricité de France), French Academy of Sciences

Overview

Gérard Iooss is affiliated with Université Côte d'Azur in France. Their research spans several key fields, including Computer Science, Mathematics, and Engineering, with a notable focus on Computational Mechanics, Computational Theory and Mathematics, and Numerical Analysis. Their work crosses interdisciplinary boundaries, engaging with topics such as Advanced Mathematical Modeling in Engineering, Fluid Dynamics and Thin Films, and Nonlinear Dynamics and Pattern Formation.

Iooss has contributed to multiple scientific publications in prominent venues. Frequent publication platforms include:

  • Journal of Dynamics and Differential Equations
  • Comptes Rendus Mécanique
  • arXiv (Cornell University)
  • Archive for Rational Mechanics and Analysis
  • SIAM Journal on Applied Dynamical Systems

Their recent papers include the following:

  • Comptes Rendus. Mécanique (2020), published in Comptes Rendus Mécanique
  • Patterns and Quasipatterns from the Superposition of Two Hexagonal Lattices (2022), published in SIAM Journal on Applied Dynamical Systems
  • Convection de Bénard-Rayleigh. Cas libre-libre (2023), published in Comptes Rendus Mécanique

Iooss collaborates with multiple researchers in their field. Frequent co-authors include:

  • Mariana Hărăguş
  • A. M. Rucklidge
  • Boris Buffoni
  • Louis Jeanjean

Their work prominently addresses areas such as Fluid Dynamics and Turbulent Flows, Solidification and crystal growth phenomena, and the Navier-Stokes equation solutions. These topics align with their interest and contributions in both fundamental and applied aspects of differential equations and numerical methods.

Gérard Iooss was awarded the Ampère Prize (Prix Ampère de l'Électricité de France) by the French Academy of Sciences in 2008.

Best Publications

  • Elementary stability and bifurcation theory

    Gérard Iooss;Daniel D. Joseph

  • A simple global characterization for normal forms of singular vector fields

    C. Elphick;E. Tirapegui;M. E. Brachet;P. Coullet

  • The Couette-Taylor problem

    Pascal Chossat;Gérard Iooss

  • Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems

    Mariana Haragus;Gérard Iooss

  • Topics in bifurcation theory and applications

    Gérard Iooss;Moritz Adelmeyer

  • Center Manifold Theory in Infinite Dimensions

    André Vanderbauwhede;G Iooss

  • Perturbed Homoclinic Solutions in Reversible 1:1 Resonance Vector Fields

    Gérard Iooss;Marie-Christine Pérouème

  • Bifurcation of maps and applications

    Gérard Iooss

  • Water waves for small surface tension : an approach via normal form

    Gérard Iooss;Klaus Kirchgässner

  • Nonlinear dynamics and turbulence

    G. I. Barenblatt;Gérard Iooss;Daniel D. Joseph

  • Standing Waves on an Infinitely Deep Perfect Fluid Under Gravity

    Gerard Iooss;Pavel Plotnikov;J.F. Toland

  • Travelling Waves in a Chain¶of Coupled Nonlinear Oscillators

    Gérard Iooss;Klaus Kirchgässner

  • Travelling waves in the Fermi-Pasta-Ulam lattice

    Gérard Iooss

  • Instabilities of one-dimensional cellular patterns.

    P. Coullet;G. Iooss

  • Theory of steady Ginzburg-Landau equation, in hydrodynamic stability problems

    G. Iooss;A. Mielke;Y. Demay

  • Bifurcations de tores invariants

    A. Chenciner;G. Iooss

  • Localized waves in nonlinear oscillator chains

    Gérard Iooss;Guillaume James

  • Capillary-gravity solitary waves with damped oscillations

    Frédéric Dias;Gérard Iooss

  • Small Divisor Problem in the Theory of Three-dimensional Water Gravity Waves

    Gérard Iooss;Pavel I. Plotnikov

  • Existence et stabilité de la solution périodique secondaire intervenant dans les problèmes d'evolution du type Navier-Stokes

    Gérard Iooss

  • Primary and Secondary Bifurcations in the Couette-Taylor Problem

    P. Chossat;G. Iooss

  • Couette-Taylor Problem

    Gérard Iooss;Moritz Adelmeyer

Frequent Co-Authors

Alexander Mielke
Alexander Mielke Weierstrass Institute for Applied Analysis and Stochastics
Frédéric Dias
Frédéric Dias University College Dublin
Min Chen
Min Chen South China University of Technology
John Toland
John Toland University of Bath
Grigory Isaakovich Barenblatt
Grigory Isaakovich Barenblatt University of California, Berkeley
Dmitry E. Pelinovsky
Dmitry E. Pelinovsky McMaster University
Josef Hofbauer
Josef Hofbauer University of Vienna

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