News

Announcement: Open Call for Short-Term Scientific Missions

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Activities

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Networking in Applied Network Theory

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CA18232 Heating up networks - analysis meets applications workshop

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WG5 Research Seminar - Talk by Vladimir Jacimovic and Aladin Crnkić

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Working groups

  • WG1

    WG1

    C0 - semigroups and beyond

    The theory of C0-semigroups, time-continuous linear dynamical systems, is a useful tool to study evolution equations. There is a one-to-one correspondence between these objects and well-posed abstract Cauchy problems on Banach spaces.

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  • WG2

    WG2

    Nonlinear problems

    Often, linear models are first-order approximations in the descriptions of intricate phenomena. Their study is a mandatory first step whose results open the way to more accurate portraits of the problems being studied.

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  • WG3

    WG3

    Networks and similar structures

    The cell cycle, as well as the exploitation of a biological resource or demographic models, lead to renewal equations (i.e., balance laws with possibly nonlocal boundary conditions) on graphs. Their analytic treatment has some features that resemble that of models for vehicular traffic on road networks.

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  • WG4

    WG4

    Variational methods on graphs and networks

    Proceeding from classical variational methods for the analysis of Laplace-type operators, the aim of this Working Group is twofold.

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  • WG5

    WG5

    Numerical methods and applications

    Since the differential equations which arise in applications like cell cycle, biological resource and demographic models, or vehicular traffic on road networks have a rather complicated structure, the analytical approach to the analysis of the dynamics of the corresponding system is not viable.

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