PD Dr. Rainer Mandel
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by appointment
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Kollegiengebäude Mathematik (20.30)
-1.019
+49 721 608 46178
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rainer.mandel@kit.edu
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Institute of Analysis
Workgroup Nonlinear Partial Differential Equations - SFB 1173
Englerstraße 2
76131 Karlsruhe
On July 1st 2016 I started working at KIT as the leader of the Junior Research Group "Nonlinear Helmholtz Equations" within the Collaborative Research Center 1173 "Wave phenomena: Analysis and Numerics" at KIT.
Webpages
CRC 1173 Wave phenomena: Analysis and Numerics
Site of my Junior Research Group at the Institute for Analysis
Site of my Junior Research Group at the CRC 1173
My homepage
Data
- Jan 2009 - Jan 2013 : PhD at KIT with Prof. Dr. Wolfgang Reichel
- Feb 2013 - Sep 2014 : Postdoctoral researcher at KIT
- Nov 2014 - Jun 2016 : Postdoctoral researcher at the SNS Pisa with Prof. Dr. Andrea Malchiodi
- Jul 2016 - today : Junior Research Group Leader at CRC 1173
Scientific Works (since 2013)
- 33 published papers and 2 preprints, see here.
- Dissertation "Grundzustände, Verzweigungen und singuläre Lösungen nichtlinearer Schrödingersysteme" (in German, summa cum laude), see here or pdf.
- Habilitation "Nonlinear Helmholtz Equations and Systems", see pdf.
Talks
- 09 / 2022: ~|Talk (Bari)
- 07 / 2022: Talk (Bedlewo)
- 11 / 2020: ~|Talk (Karlsruhe)
- 13.11.2020: Talk (Lisbon/online)
- 05.11.2020: Talk (Stuttgart/online)
- 14.09.2020: Talk (Chemnitz/online)
- 04.12.2019: Habilitationskolloquium (Karlsruhe)
- 26.09.2019: Talk (Karlsruhe)
- 28.08.2019: Talk (Wien)
- 21.05.2019: Talk (Gaeta)
- 15.05.2019: Talk (Halle)
- 03.05.2019: Talk (Bielefeld)
- 23.07.2018: Ankündigung Talk (WAVES)
- 16.07.2018: Ankündigung Talk (Rauischholzhausen)
- 07.03.2018: Ankündigung Talk (DMV conference)
Teaching
- Courses at KIT see below
- Lecture Notes: Nonlinear Functional Analysis
- Lecture Notes: Partial Differential Equations
- Lecture Notes: Sobolev Spaces
- Lecture Notes: Nichtlineare Randwertprobleme (in German)
Supervision
- PhDs: Dominic Scheider 2017-2019
- Postdocs: Zois Moitier 2020-2022
Scientific interests
- Variational methods for indefinite PDEs
- Limiting absorption principles
- Time-harmonic Maxwell equations
- Nonlinear Helmholtz Equations
- Fermi-surfaces und (perturbed) periodic structures
- Bifurcation theory
- Lugiato-Lefever equation