@Article{CMAA-3-501,
author = {Wan , LingWang , Tao and Zhao , Huijiang},
title = {Global Solutions to the Compressible Navier-Stokes Equations for a Reacting Mixture with Temperature Dependent Transport Coefficients},
journal = {Communications in Mathematical Analysis and Applications},
year = {2024},
volume = {3},
number = {4},
pages = {501--518},
abstract = {<p style="text-align: justify;">We consider the compressible Navier-Stokes equations for a reacting ideal polytropic gas when the coefficients of viscosity, thermal conductivity, and species diffusion are general smooth functions of temperature. The
choice of temperature-dependent transport coefficients is motivated by the kinetic theory and experimental results. We establish the existence, uniqueness,
and time-asymptotic behavior of global solutions for one-dimensional, spherically symmetric, or cylindrically symmetric flows under certain assumptions
on the $H^2$ norm of the initial data. This is a Nishida-Smoller type global solvability result, since the initial perturbations can be large if the adiabatic exponent is close to 1.</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2024-0021},
url = {http://global-sci.org/intro/article_detail/cmaa/23616.html}
}