Stability for doubly nonlinear parabolic equations (C07 intern)

Third Party Funds Group - Sub project


Start date : 01.05.2020

End date : 30.06.2022

Website: https://trr154.fau.de/

Overall project details

Overall project

TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks (TRR 154) July 1, 2014 - July 1, 2017

Overall project speaker:

Prof. Dr. Alexander Martin Lehrstuhl für Analytics & Mixed-Integer Optimization, Economics - Discrete Optimization - Mathematics (EDOM)

Project details

Short description

The subproject ist concerned with stability questions for the non stationary gas flow in gas networks, which is described by the friction dominated ISO-3 model. From the analytical point of view the model consists in a system of nonlinear parabolic partial differential equations which can be transformed into a doubly nonlinear degenerate parabolic equation. We focus on stability issues for the (weak) solution (in the parabolic Sobolev space) with respect to variations of structural parameters and initial-boundary data. In particular, we expect results for the ISO-3 model concerning the stability under variations of friction parameters and the underlying gas model (ideal or real gas).

Involved:

Jens Habermann Project Leader Andreas Herán Project Member

Contributing FAU Organisations:

Naturwissenschaftliche Fakultät Lehrstuhl für Analysis Lehrstuhl für Partial Differential Equations

Funding Source

DFG / Sonderforschungsbereich / Transregio (SFB / TRR)