Speaker:
Stefan Hollands

Coordinator:
Jörg Lehnert

Address:
Inselstraße 22
04103 Leipzig
Germany

Contact:
+49(0)341-9959-641
+49(0)341-9959-658
 IMPRS

Analysis

Scientific Members working in this area

Description of Research

The research in this topic focuses on the study of continuum models in physics and material sciences. Mostly this leads to questions in partial differential equations, dynamical systems and change of scale. Geometric measure theory, convex integration, ergodic theorems, entropy estimates, and multiscale limits are important tools.

Current PhD Students

Surname, first nameEmailPhoneOfficeHomepage
Bähring, MarkusMarkus.Baehring846G2 11 
Schnurr, MichaelMichael.Schnurr837G2 03 
Zemas, KonstantinosKonstantinos.Zemas840G2 05 

Alumni

NameAdvisorGraduationTopic
Michael BaldusStephan Luckhaus2015Homogenization via correctors
Tristan BuckmasterLászló Székelyhidi2014Onsager's conjecture (see more)
Marcello CarioniBernd Kirchheim2017Existence of calibrations for the Mumford-Shah functional and the reinitialization of the distance function in the framework of Chan and Vese algorithms (see more)
Lukas DöringFelix Otto2015Asymmetric domain walls in soft ferromagnetic films
Elias EsselbornFelix Otto2015Gradient flows for nonconvex energies : asymptotics and stability for two models from fluid mechanics
Clemens FörsterLaszlo Szekelyhidi2018Piecewise constant subsolutions for the incompressible Euler and IPM equations (see more)
Arianna GiuntiFelix Otto2017Green's function estimates for elliptic and parabolic operators : Applications to quantitative stochastic homogenization and invariance principles for degenerate random environments and interacting particle systems (see more)
Manuel GnannFelix Otto2014The moving contact line in viscous thin films : a singular free boundary problem
Gianluca LauteriStephan Luckhaus2017The emergence of cosserat-type structures in metal plasticity (see more)
Tim Bastian LauxFelix Otto2017Convergence of phase-field models and thresholding schemes via the gradient flow structure of multi-phase mean-curvature flow (see more)
Philippe LogaritschEmanuele Spadaro2016An obstacle problem for mean curvature flow (see more)
Percy MakitaStephan Luckhaus, Matthias Schwarz2010Periodic and homoclinic motions in infinite lattices
Camilla NobiliFelix Otto2015Rayleigh-Bénard convection : bounds on the Nusselt number (see more)
Andre SchlichtingStephan Luckhaus2012The Eyring-Kramers formula for Poincaré and logoarithmic Sobolev inequalities (see more)
Thilo Martin SimonFelix Otto2018Materials science-inspired problems in the calculus of variations : rigidity of shape memory alloys and multi-phase mean curvature flow
Jens WohlgemuthStephan Luckhaus2013Study of a model for reference-free plasticity (see more)
01.10.2018, 23:40