TY - JOUR
T1 - On the Steady Solutions to a Model of Compressible Heat Conducting Fluid in Two Space Dimensions
JO - Journal of Partial Differential Equations
VL - 4
SP - 334
EP - 350
PY - 2011
DA - 2011/11
SN - 24
DO - http://doi.org/10.4208/jpde.v24.n4.5
UR - https://global-sci.org/intro/article_detail/jpde/5215.html
KW - Steady compressible Navier-Stokes-Fourier system
KW - weak solution
KW - entropy inequality
KW - Orlicz spaces
KW - compensated compactness
KW - renormalized solution
AB - <p>We consider steady compressible Navier-Stokes-Fourier system in a bounded two-dimensional domain with the pressure law p(\varrho,ϑ)∼\varrhoϑ+\varrho ln^α(1+\varrho). For the heat flux q∼-(1+ϑ^m)∇ϑ we show the existence of a weak solution provided α &gt; max{1,1/m}, m &gt; 0. This improves the recent result from [1].</p>