In this article, we study the global L∞ entropy solutions for the Cauchy problem of system of isentropic gas dynamics in a divergent nozzle with a friction. Especially when the adiabatic exponent γ=3, we apply for the maximum principle to obtain the L∞ estimates w(ρδ,ε, uδ,ε) ≤ B(t) and z(ρδ,ε, uδ,ε) ≤ B(t) for the viscosity solutions (ρδ,ε, uδ,ε), where B(t) is a nonnegative bounded function for any finite time t. This work, in the special case γ ≥ 3, extends the previous works, which provided the global entropy solutions for the same Cauchy problem with the restriction w(ρδ,ε, uδ,ε) ≤ 0 or z(ρδ,ε, uδ,ε) ≤ 0.
Qingyou SUN
,
Yunguang LU
,
Christian KLINGENBERG
. GLOBAL L∞ SOLUTIONS TO SYSTEM OF ISENTROPIC GAS DYNAMICS IN A DIVERGENT NOZZLE WITH FRICTION[J]. Acta mathematica scientia, Series B, 2019
, 39(5)
: 1213
-1218
.
DOI: 10.1007/s10473-019-0501-2
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