World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
43
Citations
8595
World Ranking
1684
National Ranking
728

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Jeffrey Rauch is affiliated with the University of Michigan-Ann Arbor in the United States. Their research spans Engineering, Mathematics, and Computer Science, with significant contributions across several specialized subfields including Computational Theory and Mathematics, Mathematical Physics, Statistical and Nonlinear Physics, Applied Mathematics, and Computational Mechanics.

The scientist's work covers multiple main topics such as Advanced Mathematical Modeling in Engineering, Advanced Numerical Methods in Computational Mathematics, Scientific Research and Discoveries, Stability and Controllability of Differential Equations, Electromagnetic Simulation and Numerical Methods, Numerical Methods in Inverse Problems, and Spectral Theory in Mathematical Physics.

Their recent publications demonstrate a focus on mathematical analysis and computational methods, with titles including:

  • "The Electrostatic Potential of Periodic Crystals," 2021, published in SIAM Journal on Mathematical Analysis
  • "Crime pays; homogenized wave equations for long times," 2021, published in Asymptotic Analysis
  • "Crime pays; homogenization for long times," 2022, published in Séminaire Laurent Schwartz - EDP et applications
  • "Perfectly Matched Layers on Cubic Domains for Pauli's Equations," 2024, published in Annales de la faculté des sciences de Toulouse Mathématiques
  • "A discrete algorithm for general weakly hyperbolic systems," 2022, published in Journal of Pseudo-Differential Operators and Applications

Jeffrey Rauch has collaborated frequently with several coauthors, including Laurence Halpern, Grégoire Allaire, Agnes Lamacz, L. Ridgway Scott, and Ferruccio Colombini. These partnerships reflect interdisciplinary work spanning mathematical and computational fields.

Their publications have appeared in diverse venues such as:

  • arXiv (Cornell University)
  • Annales de la faculté des sciences de Toulouse Mathématiques
  • Asymptotic Analysis
  • Séminaire Laurent Schwartz - EDP et applications
  • SIAM Journal on Mathematical Analysis

Among professional recognitions, Jeffrey Rauch was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary

    Claude Bardos;Gilles Lebeau;Jeffrey Rauch

  • Exponential Decay of Solutions to Hyperbolic Equations in Bounded Domains

    Jeffrey Rauch;Michael Taylor

  • Potential and scattering theory on wildly perturbed domains

    Jeffrey Rauch;Michael Taylor

  • Symmetric positive systems with boundary characteristic of constant multiplicity

    Jeffrey Rauch

  • Differentiability of solutions to hyperbolic initial-boundary value problems

    Jeffrey B. Rauch;Frank J. Massey

  • Qualitative theory of the FitzHugh-Nagumo equations

    Jeffrey Rauch;Joel A. Smoller

  • The dirichlet problem for the multidimensional monge-ampere equation

    Jeffrey Rauch;B.A. Taylor

  • Decay of solutions to nondissipative hyperbolic systems on compact manifolds

    Jeffrey Rauch;Michael Taylor

  • L2 is a continuable initial condition for kreiss' mixed problems

    Jeffrey Rauch

  • Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension

    Jeffrey Rauch;Michael Reed

  • 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

  • Polynomial decay for a hyperbolic–parabolic coupled system

    Jeffrey Rauch;Xu Zhang;Xu Zhang;Enrique Zuazua

  • Hyperbolic Partial Differential Equations and Geometric Optics

    Jeffrey Rauch

  • Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians

    Jeffrey Rauch

  • Resonant One Dimensional Nonlinear Geometric Optics

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

  • Discontinuous semilinear differential equations and multiple valued maps

    Unknown

  • BV Estimates Fail for Most Quasilinear Hyperbolic Systems in Dimensions Greater Than One

    Jeffrey Rauch;Jeffrey Rauch

  • DIFFRACTIVE NONLINEAR GEOMETRIC OPTICS WITH RECTIFICATION

    Jean-Luc Joly;Guy Metivier;Jeffrey Rauch

  • Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: creation and propagation

    Jeffrey Rauch;Michael Reed

  • Partial Differential Equations

    Unknown

  • Hermite matrix in Lagrange basis for scaling static output feedback polynomial matrix inequalities

    Akın Delibaşı;Didier Henrion

Frequent Co-Authors

Guy Métivier
Guy Métivier University of Bordeaux
Claude Bardos
Claude Bardos Université Paris Cité
Michael Taylor
Michael Taylor University of North Carolina at Chapel Hill
Zhouping Xin
Zhouping Xin Chinese University of Hong Kong
Grégoire Allaire
Grégoire Allaire École Polytechnique
Enrique Zuazua
Enrique Zuazua University of Erlangen-Nuremberg
Wendelin Werner
Wendelin Werner University of Cambridge
Joel Smoller
Joel Smoller University of Michigan–Ann Arbor
Marc Yor
Marc Yor Sorbonne University
Gerard Mourou
Gerard Mourou École Polytechnique

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