ABSTRACT
Department of Mathematical Modelling, Moscow Power Engineering Institute, Krasnokazarmennaja 14, 111250 Moscow, Russia
zlotnik@apmsun.mpei.ac.ru, amosov@srv-m.mpei.ac.ru
1 Introduction
In this paper, we give a review of our recent results on nonhomogeneous initialboundary value problems to 1D-Navier-Stokes equations for a viscous heat-conducting gas with large discontinuous data. For instance, we consider the initial data such that the specific volume is bounded from above and below and the total initial energy and entropy are finite. The global in time existence of weak solutions [6], their uniqueness and Lipschitz continuous dependence on data [21], [23] as well as an internal and up to the boundary regularity [9] are presented.
