Herbert Koch (mathematician)

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Herbert Koch

Herbert Koch (born September 14, 1962 ) is a German mathematician specializing in partial differential equations .

Koch received his doctorate in 1990 under Willi Jäger at the University of Heidelberg ( Hyperbolic equations of second order ). He wrote his habilitation thesis from 1999 on the subject of Non-Euclidean singular integrals and the porous medium equation . Then he was a professor at the University of Dortmund . Koch is Professor of Analysis and Partial Differential Equations at the Mathematical Institute of the University of Bonn .

Together with Daniel Tătaru he worked out solutions for the Navier-Stokes equations in fluid mechanics . In addition to his teaching and research activities he has been a publisher of magazines Analysis & PDE and Mathematical annals .

Fonts

  • with D. Tataru: On the spectrum of hyperbolic semigroups. In: Commun. Partial differential equations. Vol. 20, No. 5-6, 1995, pp. 901-937.
  • Finite dimensional aspects of semilinear parabolic equations. In: J. Dynamics Diff. Equations. Volume 8, No. 2, 1996, pp. 177-202.
  • Differentiability of parabolic semi-flows in Lp-spaces and inertial manifolds. In: J. Dyn. Diff. Equations. Volume 12, No. 3, 2000, pp. 511-531.
  • Transport and instability for perfect fluids. In: Math. Ann. Volume 323, No. 3, 2002, pp. 491-523.
  • Partial differential equations and singular integrals. Dispersive nonlinear problems in mathematical physics. In: Quad. Mat. Volume 15, Dept. Math., Seconda Univ. Napoli, Caserta 2004, pp. 59-122.
  • with E. Zuazua: A hybrid system of PDE's arising in multi-structure interaction: coupling of wave equations in n and n-1 space dimensions. Recent trends in partial differential equations. In: Contemp. Math. Volume 409, AMS, Providence 2006, pp. 55-77.
  • with J.-C. Saut: Local smoothing and local solvability for third order dispersive equations. In: SIAM J. Math. Analysis. Volume 38, No. 5, 2007, pp. 1528-1541.
  • with F. Ricci: Spectral projections for the twisted Laplacian. In: Studia Math. Volume 180, No. 2, 2007, pp. 103-110.
  • Partial Differential Equations with Non-Euclidean Geometries. In: AIM Sciens DCDS-S. Volume 1, No. 3, 2008.

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
personal data
SURNAME Koch, Herbert
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH September 14, 1962