We consider steady compressible Navier-Stokes-Fourier system in a bounded two-dimensional domain with the pressure law p(e,θ) - qθ+eln^α(1+e). For the heat flux q ~ -(1+θ^m) △θwe show the existence of a...We consider steady compressible Navier-Stokes-Fourier system in a bounded two-dimensional domain with the pressure law p(e,θ) - qθ+eln^α(1+e). For the heat flux q ~ -(1+θ^m) △θwe show the existence of a weak solution provided α〉max{1,1/m}, m 〉0. This improves the recent result from [1].展开更多
基金Acknowledgments The work of M.P. is a part of the research project MSM 0021620839 financed by MSMT and partly supported by the grant of the Czech Science Foundation No. 201/08/0315 and by the project LC06052 (Jindfich Necas Center for Mathematical Modeling).
文摘We consider steady compressible Navier-Stokes-Fourier system in a bounded two-dimensional domain with the pressure law p(e,θ) - qθ+eln^α(1+e). For the heat flux q ~ -(1+θ^m) △θwe show the existence of a weak solution provided α〉max{1,1/m}, m 〉0. This improves the recent result from [1].