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Institute of Analysis, Dynamics and Modeling

Research

Research conducted at the Institute of Analysis, Dynamics and Modeling:

Cooperationen

The institute is affliated with the Excellence-Cluster "Simulation Technolog of the University of Stuttgart and the SFB 1173 "Wave phenomena"at the KIT Karlsruhe.

 

Research fields

Prof. TeknD
T. Weidl
Spectral theory, Mathematical physics
Prof. Dr.
G. Schneider

Nonlinear partial differential equations, Diffusive and dispersive dynamics, Multi-scale problems in mathematical modelling

Projects:
  • DFG-Projekt: SCH 520/10-1: Globale Existenz durch Amplitudengleichungen 
  • SimTech-Project: Exploiting structural knowledge in (nonlinear) PDE problems for efficient deployment of the learning abilities of ANNs
  • CRC 1173/2 -Project A10: Standing and moving pulses in periodic media (N)
Prof. Dr.
M. Griesemer
Dynamics and spectral theory of many-particle quantum systems, Variational methods in quantum mechanics
Prof. Dr.
J. Pöschel
Dynamical systems, Stability of Hamiltonian systems, KAM-theory
Apl.Prof. Dr.
W.-P. Düll
Nonlinear partial differential equations, Mathematical fluid mechanics, Justification of approximation equations, Multi-scale methods in mathematical modelling

Project:
DFG-Project: DU 1198/2-1: Rechtfertigung der Nichtlinearen Schrödinger-Approximation für das Wasserwellenproblem mit Oberflächenspannung 
Apl. Prof. Dr. 
J. Wirth
Analysis of partial differential equations, Operator theory, Harmonic analysis in Rn and on Lie groups
Priv.-Doz. Dr.
P. Lesky
Partial differential equations, Spectral theory for self-adjoint operators, Energy estimates for solutions of nonlinear wave equations

 

Date Title Name
2019 Validity of the nonlinear Schrödinger approximation for quasilinear dispersive systems Max Heß
2019 Nonlinear phenomena on metric and discrete necklace graphs Daniela Maier
2019 Amplitude Equations for Boussinesq and Ginzburg-Landau-like Models Tobias Haas
2017 Effective Equations in Mathematical Quantum Mechanics Steffen Gilg
2017 WEB-Spline Approximation and Collocation for Singular and Time-Dependent Problems Florian Martin
2017 Energy estimates for the two-dimensional Fermi polaron Ulrich Linden
2017 Self-Adjointness and Domain of a Class of Generalized Nelson Models Andreas Wünsch
2017 Spectral and Hardy Inequalities for the Heisenberg Laplacian Bartosch Ruszkowski
2016 Failure of Amplitude Equations Danish Ali Sunny
2016 The KdV and Whitham limit for a spatially periodic Boussinesq model Roman Bauer
2015 Adiabatic theorems for general linear operators and wellposedness of linear evolution equations Jochen Schmid
2015 Singular problems in quantum and elastic waveguides via Dirichlet-to-Neumann analysis André Hänel
2014 The validity of the Nonlinear Schrödinger approximation in higher space dimensions Alina Hermann
2014 Justification of an approximation equation for the Benard-Marangoni problem Dominik Zimmermann
2013 Mathematical modeling and numerical simulations of the extrinsic pro-apoptotic signaling pathway Markus Daub
Datum Titel Name
2017 On the behaviour of the eigenvalues and eigenfunctions of the Laplacian and related operators James Kennedy
2012

Decoupling techniques for partial differential equations and the large time behavior of their solutions

Jens Wirth
2011

Justification of Approximation Equations for Pattern Forming Systems and for Water Waves

Wolf-Patrick Düll
2008

Spectral properties of Schrödinger operators

Hynek Kovarik
2006

Concentrated patterns in biological systems

Matthias Winter
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