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Mathematics

D-Index
33
Citations
4130
World Ranking
3060
National Ranking
182

Overview

Guy Métivier is affiliated with the University of Bordeaux in France. Their research spans several fields, primarily within Mathematics, Engineering, and Computer Science. Subfields of study include Mathematical Physics, Control and Systems Engineering, Computational Theory and Mathematics, Applied Mathematics, and Numerical Analysis.

Their recent work covers a variety of topics, notably Stability and Controllability of Differential Equations, Advanced Mathematical Modeling in Engineering, Advanced Mathematical Physics Problems, Navier-Stokes Equation Solutions, Differential Equations and Numerical Methods, advanced mathematical theories, and Spectral Theory in Mathematical Physics.

Métivier's publication record includes work in several academic venues. Frequent publication venues are:

  • Indiana University Mathematics Journal
  • arXiv (Cornell University)
  • Discrete and Continuous Dynamical Systems - S

Recent papers by Métivier include:

  • "$L^2$ well posed Cauchy Problems and Symmetrizability of First Order Systems", 2021, arXiv (Cornell University)
  • "Large-amplitude modulation of periodic traveling waves", 2022, Discrete and Continuous Dynamical Systems - S
  • "Large-amplitude modulation of periodic traveling waves", 2020, arXiv (Cornell University)

Other notable papers recorded alongside Métivier's name include works primarily authored by Ferruccio Colombini in which they contributed:

  • "Hyperbolicity via admissibility in delay equations", 2020, Indiana University Mathematics Journal
  • "On the Cauchy problem for microlocally symmetrizable hyperbolic systems with log-Lipschitz coefficients", 2020, Indiana University Mathematics Journal

Métivier has collaborated frequently with several researchers in related fields. Frequent co-authors include:

  • Ferruccio Colombini
  • Daniele Del Santo
  • Francesco Fanelli
  • Kevin Zumbrun

Best Publications

  • The Incompressible Limit of the Non-Isentropic Euler Equations

    G. Métivier;S. Schochet

  • Stability of Multidimensional Shocks

    Guy Métivier

  • Large Viscous Boundary Layers For Noncharacteristic Nonlinear Hyperbolic Problems

    Guy Métivier;Kevin R. Zumbrun

  • Coherent and focusing multidimensional nonlinear geometric optics

    J.-L. Joly;G. Métivier;J. Rauch

  • Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves

    J.-L. Joly;G. Metivier;J. Rauch

  • Fonction spectrale et valeurs propres d'une classe d'operateurs non elliptiques

    Guy Metivier

  • Para-differential Calculus and Applications to the Cauchy Problem for Nonlinear Systems

    Unknown

  • Paralinearization of the Dirichlet to Neumann Operator, and Regularity of Three-Dimensional Water Waves

    Thomas Alazard;Guy Métivier

  • Resonant One Dimensional Nonlinear Geometric Optics

    J.L. Joly;G. Metivier;J. Rauch

  • Navier–Stokes regularization of multidimensional Euler shocks

    C. M. I. Olivier Guès;Guy Métivier;Mark Williams;Kevin Zumbrun

  • The Block Structure Condition for Symmetric Hyperbolic Systems

    Guy Métivier

  • Existence and stability of multidimensional shock fronts in the vanishing viscosity limit

    Olivier Guès;Guy Métivier;Mark Williams;Kevin Zumbrun

  • Hyperbolic boundary value problems for symmetric systems with variable multiplicities

    Guy Métivier;Kevin Zumbrun

  • DIFFRACTIVE NONLINEAR GEOMETRIC OPTICS WITH RECTIFICATION

    Jean-Luc Joly;Guy Metivier;Jeffrey Rauch

  • Interaction de deux chocs pour un système de deux lois de conservation, en dimension deux d'espace

    Guy Métivier

  • Averaging theorems for conservative systems and the weakly compressible Euler equations

    G. Métivier;S. Schochet

  • Transparent Nonlinear Geometric Optics and Maxwell–Bloch Equations

    Jean-Luc Joly;Guy Metivier;Jeffrey Rauch

  • Focusing at a point and absorption of nonlinear oscillations

    J.-L. Joly;G. Métivier;J. Rauch

  • Recent Mathematical Results and Open Problems about Shallow Water Equations

    Didier Bresch;Benoît Desjardins;Guy Métivier

  • Global Solutions to Maxwell Equations in a Ferromagnetic Medium

    J.L. Joly;G. Métivier;J. Rauch

  • Diffractive nonlinear geometric optics

    P. Donnat;J.-L. Joly;G. Métivier;J. Rauch

  • Advances in the Theory of Shock Waves

    Tai-Ping Liu;Guy Métivier;Joel Smoller;Blake Temple

Frequent Co-Authors

Jeffrey Rauch
Jeffrey Rauch University of Michigan–Ann Arbor
Kevin Zumbrun
Kevin Zumbrun Indiana University
Joel Smoller
Joel Smoller University of Michigan–Ann Arbor
Tai-Ping Liu
Tai-Ping Liu Stanford University
M. S. Baouendi
M. S. Baouendi University of California, San Diego

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