Karlsruhe PDE Seminar

In the Karlsruhe PDE seminar external experts present results from analysis and numerics of partial differential equations. The seminar takes place about three times per semester as a special version of the CRC seminar. Since summer term 2016, the canonical time and location of the PDE seminar is

Thursday, 2:00-3:00 p.m., in SR 1.067 in the Math building 20.30.

Winter semester 2025/26:

Thierry Gallay (Univ. Grenoble Alpes) Dynamics of a Viscous Vortex in an External Flow on November 13, 2025.

We study the evolution of a concentrated vortex advected by a smooth, divergence-free velocity field in two space dimensions. In the idealized situation where the initial vorticity is a Dirac mass, we compute an approximation of the solution which accurately describes, in the regime of high Reynolds numbers, the motion of the vortex center and the deformation of the streamlines under the shear stress of the external flow. For ill-prepared initial data, corresponding to a sharply peaked Gaussian vortex, we prove relaxation to the previous solution on a time scale that is much shorter than the diffusive time, due to enhanced dissipation inside the vortex core.
This talks is based on a joint work with Martin Donati.

Summer semester 2025:

Thomas Bartsch (Univ. of Giessen) Normalized Solutions to Nonlinear Schrödinger Equations on July 24, 2025.

The talk will be concerned with the existence of solutions of nonlinear Schrödinger equations on $\mathbb{R}^N$ or on domains $\Omega\subset\mathbb{R}^N$ when the $L^2$-norm of the solution is prescribed. The problem of normalized solutions has received a lot of attention in recent years but is still much less understood compared with the problem when the $L^2$ norms are free. We discuss this problem and present recent results.

Winter semester 2024/25:

Serge Nicaise (Univ. Polytechnique Hauts-de-France) Stability and Asymptotic Properties of a Linearized Hydrodynamic Medium Model for Dispersive Media in Nanophotonics on November 21, 2024, 2 p.m., SR 1.067

Winter semester 2023/24:

Peter Lewintan (KIT) Korn Inequalities ond January 18, 2024, 2 p.m., SR 1.067

Summer semester 2023:

Angkana Rüland (Univ. Bonn) On the fractional Calderon Problem on May 4, 2023, 2 p.m., SR 1.067 and via Zoom

Winter semester 2022/23:

Sebastian Herr (Univ. Bielefeld) Global Wellposedness of the Zakharov System Below the Ground State on February 9, 2023, 2 p.m., SR 1.067 and via Zoom

Summer semester 2022:

Maria López-Fernández (Univ. de Málaga) Global in Time Inversion of Laplace Transforms Associated to Evolution Problems on September 15, 2022, 2 p.m., SR 1.067 and via Zoom

Winter semester 2021/22:

Luca Dede (Politecnico di Milano) Multiphysics and multiscale models for the cardiac function: towards the numerical simulation of the whole heart February 3, 2022 2 p.m., Online via Zoom

Dmitry Pelinovsky (McMaster University) Domain walls in harmonic potentials January 20, 2022 2 p.m., Hybrid SR 1.067/Zoom

Summer semester 2021:

Gianluca Crippa (University of Basel) On the local limit for nonlocal conservation laws April 29, 2021 2 p.m., Online via Zoom

Diogo Oliveira e Silva (University of Birmingham) Global maximizers for spherical restriction April 8, 2021 2 p.m., Online via Zoom

Winter semester 2020/2021:

Christian J. Cyron (Technical University of Hamburg) Machine Learning & Computational Mechanics: the natural next step February 11, 2021 2 p.m., Online via Zoom

Winter semester 2019/2020:

Axel Voigt (Technical University of Dresden) Toward nonlinear elasticity on mesoscopic length scales October 31, 2019 2 p.m., SR 1.067, Building 20.30

Summer semester 2019:

Siddhartha Mishra (ETH Zürich) Uncertainty quantification for hyperbolic systems of conservation laws June 6, 2019 2 p.m., SR 1.067, Building 20.30

Eskil Hansen (University of Lund) Domain decomposition and nonlinear parabolic equations - a time integrator approach May 23, 2019 2 p.m., SR 1.067, Building 20.30

Patrick Dondl (University of Freiburg) Optimization of additively manufactured polymer scaffolds for bone tissue engineering May 9, 2019 2 p.m., SR 1.067, Building 20.30

Winter semester 2018/19:

Hatem Zaag (University Paris 13, France) Blow-up for the Complex Ginzburg-Landau in some critical case 25th October 2018 2 p.m., SR 1.067, Building 20.30

Martin J. Gander (University of Geneva, Switzerland) Five Decades of Time Parallel Time Integration: Best Current Methods for Parabolic and Hyperbolic Problems 18th October 2018 2 p.m., SR 1.067, Building 20.30

Winter semester 2017/18:

Claus-Dieter Munz (Universität Stuttgart) Direct aeroacoustic noise simulations by a high order discontinuous Galerkin method 11th January 2018 2 p.m., SR 1.067, Building 20.30

Shi Jin (University of Wisconsin-Madison, USA and Shanghai Jiao Tong University, China) Semiclassical computational methods for quantum dynamics with band-crossing and uncertainty 7th December 2017 2 p.m., SR 1.067, Building 20.30

Summer semester 2017:

Piero D'Ancona (Sapienza Università di Roma) On the nonlinear Dirac equation with an electromagnetic potential 29th June 2017 2 p.m., SR 1.067, Building 20.30

Winter semester 2016/17:

Mechthild Thalhammer (Universität Innsbruck) Time integration methods for non-autonomous evolution equations 9th February 2017 2 p.m., SR 1.067, Building 20.30

Mario Ohlberger (WWU Münster) Model Reduction for Multiscale Lithium-Ion Battery Simulation 2nd February 2017 2 p.m., SR 1.067, Building 20.30

Michael Röckner (Universität Bielefeld) Pathwise uniqueness for stochastic differential equations on Hilbert spaces 26th January 2017 2 p.m., SR 1.067, Building 20.30

Summer semester 2016:

Zdzislaw Brzezniak (University of York) Finite element methods for the stochastic Landau-Lifschitz-Gilbert-Equation 7th July 2016 2 p.m., SR 1.067, Building 20.30

Dario Bambusi (Università degli studi di Milano) Dynamics of a soliton in an external potential 30th June 2016 2:30 p.m., SR. 1.067, Building 20.30

Todd Quinto (Tufts University) A paradigm to classify added artifacts in limited data tomography 2nd June 2016 2 p.m., SR 1.067, Building 20.30

Winter semester 2015/16:

Martin Hanke-Bourgeois (JGU Mainz) Small volume asymptotics for elliptic equations and their use in impedance tomography 8th February 2016 2 p.m., SR 1.067, Building 20.30

Michael Loss (Georgia Institute of Technology) Optimal functional inequalities and flows 1st February 2016 2 p.m., SR 1.067, Building 20.30

Herbert Egger (TU Darmstadt) Variational Methods for Radiative Transfer 18th January 2016 2 p.m., SR 1.067, Building 20.30

Summer semester 2015:

Reinhard Racke (University of Konstanz) Thermoviscoelastic Transmission Problems: Exponential or Polynomial Stability? 2th July 2015 (Thursday!) 5:30 p.m., SR 1.067, Building 20.30

Francisco Sayas (University of Delaware) Interfacing FEM and BEM for transient acoustic equations 15th June 2015 2 p.m., SR 1.067, Building 20.30

Enrique Zuazua (BCAM, Spain) Waves in non smooth media 4th May 2015 2 p.m., SR 1.067, Building 20.30

Winter semester 2014/15:

Harry Yserentant (TU Berlin) The approximation of solutions to the Schrödinger equation by anisotropic Gauß functions 12th February 2015 5:30 p.m., room 1C-03, Allianz-Building 05.20

Joachim Krieger (EPFL, Switzerland) - Vortrag wurde abgesagt! 22nd January 2015 5:30 p.m., room 1C-03, Allianz-Building 05.20

Helmut Harbrecht (University of Basel, Switzerland) Improved trial methods for a class of generalized Bernoulli problems 20th November 2014 5:30 p.m., room 1C-03, Allianz-Building 05.20

Summer semester 2014:

Mariana Haragus (Besançon, France) Existence of Defects in Swift-Hohenberg Equations 17th July 2014 5:30 p.m., room 1C-03, Allianz-Building 05.20

Michael Struwe (Zurich, Switzerland) The supercritical Lane-Emden equation and its gradient flow 5th June 2014 5:30 p.m., room 1C-03, Allianz-Building 05.20

Stéphane Lanteri (Sophia Antipolis, France) Some recent developments of a non-dissipative DGTD method for time-domain electromagnetics 22nd May 2014 5:30 p.m., room 1C-03, Allianz-Building 05.20

Winter semester 2013/14:

C. Eugene Wayne (Boston University) Breather solutions in nonlinear wave equations with spatially periodic coefficients 18th February 2014 10:00 a.m., room 1C-04, Allianz-Building 05.20

Stéphane Lanteri (Sophia Antipolis, France)- Talk was cancelled! Some recent developments of a non-dissipative DGTD method for time-domain electromagnetics 30th January 2014 5:30 p.m., room 1C-03, Allianz-Building 05.20

Ralf Hiptmair (ETH Zurich, Switzerland) Plane Wave Discontinuous Galerkin Methods 16th January 2014 5:30 p.m., room 1C-03, Allianz-Building 05.20

Serge Nicaise (Valenciennes) Polynomial decay rate for a wave equation with general acoustic boundary feedback laws 7th November 2013 5:30 p.m., room 1C-03, Allianz-Building 05.20

Summer semester 2013:

Stefan Sauter (Zurich, Switzerland) Fast Numerical Solution of Hyperbolic Integral Equations in Exterior Domains 4th July 2013 5:30 p.m., room 1C-03, Allianz-Building 05.20

Thierry Cazenave (Paris) Finite-time blowup for a family of complex Ginzburg-Landau equations 6th June 2013 5:30 p.m., room 1C-03, Allianz-Buildung 05.20

Winter semester 2012/13:

László Székelyhidi (Leipzig) Isometric embeddings and turbulent energy cascades 7th March 2013 5:30 p.m., room 1C-03, Allianz-Building 05.20

Reinhold Schneider (Berlin) Low rank approximation in recent tensor formats 31st January 2013 5:30 p.m., room 1C-03, Allianz-Building 05.20

Felix Otto (Leipzig) Pattern formation and Partial Differential Equations 9th January 2013 5:30 p.m., room 1C-04, Allianz-Building 05.20

Houssem Haddar (Palaiseau) Direct and Inverse scattering from obstacles with generalized boundary conditions 15th November 2012 5:30 p.m., room 1C-03, Allianz-Buildung 05.20

Summer semester 2012:

Thomas Bohlen (Karlsruhe) Finite-Difference Seismic Modelling and Waveform Inversion 5th July 2012 5:30 p.m., room 1C-03, Allianz-Building 05.20

Eric Sonnendrücker (Strasbourg) Mathematical modeling and numerical simulation for magnetic fusion 21st June 2012 5:30 p.m., room 1C-03, Allianz-Building 05.20

Sören Bartels (Freiburg) Finite element approximation of large bending isometries 10th May 2012 5:30 p.m., room 1C-03, Allianz-Building 05.20

Winter semester 2011/12:

Günter Leugering (Erlangen) Optimierung und Steuerung von partiellen Differentialgleichungen auf Netzwerke 9th February 2012 5:30 p.m., room 1C-04, Allianz-Building 05.20

Nicolas Burq (Paris) Probabilistic well-posedness for the cubic wave equation 1st December 2011 5:30 p.m., room 1C-04, Allianz-Building 05.20

Maria Specovius-Neugebauer (Kassel) Wie wachsen Risse? 3rd November 2011 5:30 p.m., Neuer Hörsaal, Building 20.40

Summer semester 2011:

Andreas Prohl (Tübingen) Numerical Analysis of the stochastic incompressible Navier-Stokes equations 7th July 2011 5:30 p.m., room 1C-03, Allianz-Building 05.20

Michael Ruzicka (Freiburg) Analysis of non-Newtonian fluid flow 9th June 2011 5:30 p.m., room 1C-03, Allianz-Building 05.20

Timo Weidl (Stuttgart) Scharfe Semiklassische Abschätzungen - Was hat die letzte Dekade gebracht? 12nd May 2011 5:30 p.m., room 1C-03, Allianz-Building 05.20

Winter semester 2010/11:

Jianxin Zhou (Texas A&M) On numerically solving nonlinear eigen problems 18th January 2011 5:30 p.m., Neuer Hörsaal Building 20.40

Christian Lubich (Tübingen) Computing semiclassical quantum dynamics with Hagedorn wavepackets 16th December 2010 4:00-5:00 p.m., room 1C-04, Allianz-Building 5.20

Edriss Titi (UC Irvine, USA) On the Question of Global Regularity for Three-dimensional Navier-Stokes Equations and Relevant Geophysical Models 26th November 2010 2:00-3:00 p.m., Neuer Hörsaal, Building 20.40

Summer semester 2010:

Herbert Koch (Bonn) Stability and scattering for the quartic KdV equation 8th July 2010 5:30 p.m., room 1C-03, Allianz-Building 05.20

Thomas Bartsch (Giessen) Bifurcation of positive solutions for a system of nonlinear Schrödinger equations 10th June 2010 5:30 p.m., room 1C-03, Allianz-Building 05.20

Alexander Ostermann (Innsbruck) Numerical analysis of operator splitting methods 14th May 2010 4:00 p.m., room 1C-04, Allianz-Building 05.20