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Tournus Magali (École Centrale de Marseille)  OskarMorgensternPlatz 1, Hörsaal 2, ground floor.  Thu, 23. Nov 17, 14:15 
Scalar conservation laws with heterogeneous flux in the BV framework  
We consider a scalar conservation law with a flux containing spatial heterogeneities of bounded variation, where the number of discontinuities may be infinite. We address the question of existence of an adapted entropy solution in the BV framework. A sufficient key condition guaranteeing existence is identified and new BV estimates are given. This provides the most general BV theory available. Moreover, we show with a counterexample that if this hypothesis is violated, the problem may be illposed in the BV framework.  

Lode Axel  ATI; Stadionallee 2, 1020 Wien  Thu, 9. Feb 17, 11:00 
The multiconfigurational timedependent Hartree method for indistinguishable particles  overview and application to composite fragmentation of ultracold multicomponent bosons  
In this talk, I will review recent research and progress using the multiconfigurational timedependent Hartree for indistinguishable particles method to obtain highly accurate solutions of the timedependent manybody Schr"odinger equation for interacting, indistinguishable particles. As an example, I will focus on ultracold bosonic particles with internal degrees of freedom described by the multiconfigurational timedependent Hartree for bosons method. For the groundstate of N=100 parabolically confined bosons with two internal states, fragmentation emerges as a function of the separation between the statedependent minima of the two parabolic potentials: for small separations, the bosons occupy only one singleparticle state while for larger separations, two singleparticle states contribute macroscopically. The coherence of the system is maintained within each internal state of the atoms. Between the different internal states, however, correlations are built up and the coherence is lost for larger separations. This is a hallmark of a new kind of fragmentation  "composite fragmentation"  which is absent in bosons without internal structure.  

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