@article{10902/35419,
year = {2024},
month = {10},
url = {https://hdl.handle.net/10902/35419},
abstract = {We consider a flow of non-Newtonian incompressible heat conducting fluids with dissipative heating. Such system can be obtained by scaling the classical Navier-Stokes-Fourier problem. As one possible singular limit may be obtained the so-called Oberbeck-Boussinesq system. However, this model is not suitable for studying the systems with high temperature gradient. These systems are described in much better way by completing the Oberbeck-Boussinesq system by an additional dissipative heating. The satisfactory existence result for such system was however not available. In this paper we show the large-data and the long-time existence of
dissipative and suitable weak solution. This is the starting point for further analysis of the stability
properties of such problems.},
organization = {The research activity of A. Abbatiello is performed under the auspices of GNFM - INdAM. M. Bulíček and D. Lear acknowledge the support of the Project No. 20-11027X financed by Czech Science Foundation (GAČR). M. Bulíček is a member of the Nečas Center for Mathematical Modelling. D. Lear was partially supported by the RYC2021-030970-I research Grant, and the AEI Grants PID2020-114703GB-I00 and PID2022-141187NB-I00.},
publisher = {Springer Netherlands},
publisher = {Meccanica, 2024, 59(10), 1703-1730},
title = {On the existence of solutions to generalized Navier-Stokes-Fourier system with dissipative heating},
author = {Abbatiello, Anna and Bulícek, Miroslav and Lear Claveras, Daniel},
}