TY  - JOUR
AU  - Ren, Guangrong
PY  - 2025
TI  - Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional radiative hydrodynamics
JO  - AIMS Mathematics
SP  - 4860
EP  - 4898
VL  - 10
IS  - 3
AB  - 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.
UR  - https://doi.org/10.3934/math.2025223
DO  - 10.3934/math.2025223