Stability for doubly nonlinear parabolic equations (C07 intern)

Third Party Funds Group - Sub project

Start date : 01.05.2020

End date : 30.06.2022


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

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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).


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Funding Source