KL-Regelungstechnik-Seminar  /  February 11, 2020

Kinetic Layers and Coupling Conditions for Hyperbolic Equations on Networks

Abstract:

In networks of hyperbolic conservation laws can be used to simulate flow phenomena, e.g. rivers, blood flow or car traffic. At the nodes of the network suitable coupling conditions are needed. In this talk we consider kinetic models to derive coupling conditions for the associated macroscopic equations on networks. The approach will be outlined for a linear kinetic BGK model and the corresponding limit to the wave equation. Additionally an application to car traffic models is discussed.

  • Technomathematics (Dep. of Mathematics)
  • Mechatronics in Mechenical and Automotive Engineering (Dep. of Mechanical and Process Engineering)
  • Automation Control (Dep. of Electrical and Computer Engineering)
  • Electromobility (Dep. of Electrical and Computer Engineering)

The seminar takes place at the ITWM every 1st Tuesday of a month (besides holidays and summer break). Aims are broadening of experiences and exchange of scientific views – also beyond the organizing groups.

Typical subjects of talks are:

  • ongoing or recently finished graduations and doctoral theses
  • current research and projects

The topics vary from mathematical methods to technical implementations. Usually, the talks present research results. However, some show open issues for brainstorming and inputs from the audience.

The seminar »KL-Regelungstechnik« (Kaiserslautern – Control Theory and Control Engineering) is organized by our department as well as several research groups of the TU Kaiserslautern:

  • Technomathematics (Dep. of Mathematics)
  • Mechatronics in Mechenical and Automotive Engineering (Dep. of Mechanical and Process Engineering)
  • Automation Control (Dep. of Electrical and Computer Engineering)
  • Electromobility (Dep. of Electrical and Computer Engineering)

The seminar takes place at the ITWM every 1st Tuesday of a month (besides holidays and summer break). Aims are broadening of experiences and exchange of scientific views – also beyond the organizing groups.

Typical subjects of talks are:

  • ongoing or recently finished graduations and doctoral theses
  • current research and projects

The topics vary from mathematical methods to technical implementations. Usually, the talks present research results. However, some show open issues for brainstorming and inputs from the audience.

The seminar »KL-Regelungstechnik« (Kaiserslautern – Control Theory and Control Engineering) is organized by our department as well as several research groups of the TU Kaiserslautern:

  • Technomathematics (Dep. of Mathematics)
  • Mechatronics in Mechenical and Automotive Engineering (Dep. of Mechanical and Process Engineering)
  • Automation Control (Dep. of Electrical and Computer Engineering)
  • Electromobility (Dep. of Electrical and Computer Engineering)

The seminar takes place at the ITWM every 1st Tuesday of a month (besides holidays and summer break). Aims are broadening of experiences and exchange of scientific views – also beyond the organizing groups.

Typical subjects of talks are:

  • ongoing or recently finished graduations and doctoral theses
  • current research and projects

The topics vary from mathematical methods to technical implementations. Usually, the talks present research results. However, some show open issues for brainstorming and inputs from the audience.