TY - INPR A1 - Egger, Herbert A1 - Giesselmann, Jan T1 - Regularity and long time behavior of a doubly nonlinear parabolic problem and its discretization N2 - We study a doubly nonlinear parabolic problem arising in the modeling of gas transport in pipelines. Using convexity arguments and relative entropy estimates we show uniform bounds and exponential stability of discrete approximations obtained by a finite element method and implicit time stepping. Due to convergence of the approximations to weak solutions of the problem, our results also imply regularity, uniqueness, and long time stability of weak solutions of the continuous problem. KW - gas transport KW - doubly nonlinear parabolic problems KW - relative entropy estimates KW - exponential stability KW - structure preserving discretization Y1 - 2023 ER -