Herbert Koch

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

Koch was 1990 Willi Jäger at Heidelberg University PhD ( Hyperbolic equations of second order ). His habilitation thesis in 1999, he wrote on the subject of non- Euclidean singular integrals and the porous medium equation. After that, he was a professor at the University of Dortmund. Koch is Professor of Analysis and Partial Differential Equations at the Mathematics Department of the University of Bonn.

Together with Daniel Tataru, he developed solutions to the Navier -Stokes equations of fluid mechanics. In addition to his teaching and research activities, he is co-editor of the journals Analysis & PDE and Mathematical annals.

Writings

  • With D. Tataru: On the spectrum of hyperbolic semi- groups. In: Commun. Partial Differential Equations. Volume 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 PDEs 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 belt 180, No. 2, 2007, pp. 103-110.
  • Partial Differential Equations with Non- Euclidean Geometries. In: AIM Sciens DCDS -S. Volume 1, No. 3, 2008.
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