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Workgroup Applied Analysis

Secretariat
Kollegiengebäude Mathematik (20.30)
Room 2.029

Address
Englerstrasse 2
76131 Karlsruhe
Germany

Dr. Kaori Nagato-Plum
kaori.nagatou@kit.edu




Office hours:
Mon - Fri 10:00 -- 12:00

Tel.: +49 721 608 42056

Fax.: +49 721 608 46214

Photo of Birgit Schörkhuber Dr. Birgit Schörkhuber

Office hour for students: upon request
Room: 2.023 Kollegiengebäude Mathematik (20.30)
Tel.: +49 721 608 46197
Email: birgit.schoerkhuber@kit.edu

Englerstraße 2
76131 Karlsruhe

Welcome to my Webpage at KIT!

In January 2018 I started as a Junior Research Group Leader funded by the Klaus-Tschira Stiftung. My research is concerned with nonlinear partial differential equations. More information can be found on the website of my research group Singularity formation in nonlinear PDEs. Most of my publications listed below are available on arXiv.

Preprints

  • Threshold for blowup for the supercritical cubic wave equation (with I. Glogic and M. Maliborski). Preprint 2019. Submitted for publication.

  • Co-dimension one stable blowup for the supercritical cubic wave equation (with I. Glogic). Preprint 2018. Submitted for publication.
  • Hyperboloidal similarity coordinates and a globally stable blowup profile for supercritical wave maps (with P. Biernat and R. Donninger). Preprint 2017. Submitted for publication.

Publications

  • Stable blowup for the supercritical Yang-Mills heat flow (with R. Donninger). To appear in Journal of Differential Geometry.
  • Stable self-similar blowup in the supercritical heat flow of harmonic maps (with P. Biernat and R. Donninger). Calc. Var. PDEs, 56:171, 2017.
  • Stable blowup for wave equations in odd space dimensions (with R. Donninger). Ann. Inst. H. Poincare Anal. Non Lineaire, 34:1181-1213, 2017.
  • On blowup in supercritical wave equations (with R. Donninger). Commun. Math. Phys. 346:907, 2016.
  • A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on L^2(R^d) (with R. Donninger). J. Funct. Anal. 268(9):2479-2524, 2015.
  • Stable blow up dynamics for energy supercritical wave equations (with R. Donninger). Trans. Amer. Math. Soc. 366, No. 4, p. 2167-2189, 2014.
  • Flatness of semilinear parabolic PDEs - A generalized Cauchy-Kowalevski approach (with T. Meurer and A. Jüngel). IEEE Trans. Autom. Control, Vol. 58, No. 9, p. 2277-2291, 2013.
  • Flatness-based trajectory planning for semilinear parabolic PDEs (with T. Meurer and A. Jüngel). 51st IEEE Conf. on Decision and Control, p. 3538 - 3543, 2012.
  • Stable self-similar blow up for energy subcritical wave equations (with R. Donninger). Dynamics of PDE, Vol. 9, No. 1, p. 63-87, 2012.
  • On stable self-similar blow up for equivariant wave maps - The linearized problem (with R. Donninger and P.C. Aichelburg). Ann. H.i Poincare, Vol. 13, No. 1, p. 103-144, 2012.

Recent talks

  • 07.05.2019 Follow-up Workshop "Harmonic Analysis and Partial Differential Equations", Hausdorff Research Institute for Mathematics, Bonn
  • 05.02.2019 Oberwolfach Workshop "Nonlinear Evolution Equations: Analysis and Numerics"
  • 07.12 2018 Seminar talk at the University of Stuttgart (invited by Prof. Guido Schneider)
  • 23.11 2018 Seminar talk at EPFL Lausanne (invited by Prof. Joachim Krieger)

Upcoming events

Short CV

  • 2013: Dr., Vienna University of Technology, Austria
  • 2014 - 2015: PostDoc at the Vienna University of Technology, Austria
  • 2015 - 2017: PostDoc at the University of Vienna, Austria
  • since 2018: Junior Research Group Leader at the Karlsruhe Institute of Technology, Karlsruhe, Germany






Current List of Courses
Semester Titel Typ
Winter Semester 2018/19 Seminar
Summer Semester 2018 Seminar
Seminar