TY - JOUR
T1 - Global Solutions to the Compressible Navier-Stokes Equations for a Reacting Mixture with Temperature Dependent Transport Coefficients
AU - Wan , Ling
AU - Wang , Tao
AU - Zhao , Huijiang
JO - Communications in Mathematical Analysis and Applications
VL - 4
SP - 501
EP - 518
PY - 2024
DA - 2024/12
SN - 3
DO - http://doi.org/10.4208/cmaa.2024-0021
UR - https://global-sci.org/intro/article_detail/cmaa/23616.html
KW - Compressible Navier-Stokes equations, reacting mixture, global large solutions, temperature dependent transport coefficients, Nishida-Smoller type result.
AB - <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>