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Mathematics

D-Index
33
Citations
5989
World Ranking
3014
National Ranking
178

Overview

Denis Serre is affiliated with the École Normale Supérieure de Lyon in France, contributing extensively to the fields of Mathematics and Engineering. Their research primarily focuses on Applied Mathematics, with substantial work also conducted in Computational Mechanics, Mathematical Physics, Biomedical Engineering, and Astronomy and Astrophysics.

The main topics of their work address several areas within advanced mathematical physics and engineering disciplines. These include:

  • Navier-Stokes equation solutions
  • Gas Dynamics and Kinetic Theory
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Mathematical Physics Problems
  • Elasticity and Material Modeling
  • Geometric Analysis and Curvature Flows
  • Cosmology and Gravitation Theories

Denis Serre has produced a number of recent scholarly papers across multiple specialized venues. Representative works include:

  • "The Copernicus CO2M mission for monitoring anthropogenic carbon dioxide emissions from space," 2021, International Conference on Space Optics - ICSO 2020
  • "Symmetric Divergence-free tensors in the Calculus of Variations," 2022, Comptes Rendus Mathématique
  • L2-type Lyapunov functions for hyperbolic scalar conservation laws," 2021, Communications in Partial Differential Equations
  • "About the shock formation in multi-dimensional scalar conservation laws," 2023, Journal of Hyperbolic Differential Equations
  • "Mixed determinants, compensated integrability, and new a priori estimates in gas dynamics," 2022, Quarterly of Applied Mathematics

The frequent publication venues for Denis Serre's work reflect a broad engagement with both mathematics and applied domains, featuring:

  • arXiv (Cornell University)
  • Comptes Rendus Mathématique
  • International Conference on Space Optics - ICSO 2020
  • Communications in Partial Differential Equations
  • Journal of Hyperbolic Differential Equations

The scientist frequently collaborates with colleagues including:

  • B. Sierk
  • Valérie Fernandez
  • Jean-Loup Bézy
  • Yasjka Meijer
  • Yannig Durand

Best Publications

  • Matrices: Theory and Applications

    Denis Serre

  • Systems of conservation laws

    Denis Serre

  • Systems of Conservation Laws 1

    Unknown

  • Multidimensional hyperbolic partial differential equations : first-order systems and applications

    Sylvie Benzoni-Gavage;D. Serre

  • The failure on continuous dependence on initial data for the Navier-Stokes equations of compressible flow

    David Hoff;Denis Serre

  • Multi-dimensional hyperbolic partial differential equations

    Sylvie Benzoni-Gavage;Denis Serre

  • Handbook of mathematical fluid dynamics

    Susan Friedlander;Denis Serre

  • Viscous and inviscid stability of multidimensional planar shock fronts

    K. Zumbrun;D. Serre

  • Multidimensional Shock Interaction for a Chaplygin Gas

    Denis Serre

  • Hyperbolic Problems: Theory, Numerics, Applications

    Sylvie Benzoni-Gavage;Denis Serre

  • ℒ1 stability of shock waves in scalar viscous conservation laws

    Heinrich Freistühler;Denis Serre

  • Large amplitude variations for the density of a compressible viscous fluid.

    Denis Serre

  • Boundary Layer Stability¶in Real Vanishing Viscosity Limit

    Denis Serre;Kevin Zumbrun

  • Spectral Stability of Periodic Solutions of Viscous Conservation Laws: Large Wavelength Analysis

    Denis Serre

  • Alternate Evans Functions and Viscous Shock Waves

    Sylvie Benzoni-Gavage;Denis Serre;Kevin Zumbrun

  • Relaxations semi-linéaire et cinétique des systèmes de lois de conservation

    Denis Serre

  • Stability of constant equilibrium state for dissipative balance laws system with a convex entropy

    Tommaso Ruggeri;Denis Serre

  • Chapter 7 L1-stability of nonlinear waves in scalar conservation laws

    Denis Serre

  • Global Existence of Solutions for the System of Compressible Adiabatic Flow through Porous Media

    Unknown

  • Generic types and transitions in hyperbolic initial–boundary-value problems

    Sylvie Benzoni-Gavage;Frédéric Rousset;Denis Serre;K. Zumbrun

  • $L^2$-type contraction for systems of conservation laws

    Denis Serre;Alexis F. Vasseur

  • Richness and the Classification of Quasilinear Hyperbolic Systems

    Denis Serre

Frequent Co-Authors

Kevin Zumbrun
Kevin Zumbrun Indiana University
Luis Silvestre
Luis Silvestre University of Chicago
Weinan E
Weinan E Princeton University
Frédéric Rousset
Frédéric Rousset University of Paris-Saclay

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