@article{Ren2025, 
author = {Guangrong Ren},
title = {Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional radiative hydrodynamics},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {3},
pages = {4860-4898},
keywords = {Navier-Stokes equations, radiation term, planar rarefaction wave, vanishing viscosity},
url = {https://www.sciopen.com/article/10.3934/math.2025223},
doi = {10.3934/math.2025223},
abstract = {In this paper, we are concerned with the vanishing viscosity problem in two-dimensional radiative hydrodynamics. We prove that two-dimensional radiative hydrodynamics converge to the planar rarefaction wave solution for the corresponding two-dimensional compressible Euler equations. By introducing a different scaling and identifying cancellations within the flux terms, we establish a new convergence rate with the assistance of detailed energy estimates.}
}