In this short paper, we remove the restriction $\gamma \in (1,3]$ that was used in the paper "The rate of convergence of the viscosity method for a nonlinear hyperbolic system" (Nonlinear Analysis, 1999, 38: 435-445) and obtain a global Hölder continuous solution and the convergent rate of the viscosity method for the Cauchy problem of the variant non-isentropic system of polytropic gas for any adiabatic exponent $\gamma>1$.
Lijuan CHEN
,
Xianting WANG
,
Changfeng XUE
. THE CONVERGENT RATE OF VISCOSITY METHOD FOR A VARIANT NON-ISENTROPIC SYSTEM OF POLYTROPIC GAS[J]. Acta mathematica scientia, Series B, 2024
, 44(6)
: 2274
-2282
.
DOI: 10.1007/s10473-024-0612-2
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