Abstract
In this paper we focus on the initial value problem for a hyperbolicelliptic coupled system of a radiating gas in multi-dimensional space. By using a time-weighted energy method, we obtain the global existence and optimal decay estimates of solutions. Moreover, we show that the solution is asymptotic to the linear diffusion wave which is given in terms of the heat kernel.
| Original language | English |
|---|---|
| Pages (from-to) | 209-223 |
| Number of pages | 15 |
| Journal | Communications on Pure and Applied Analysis |
| Volume | 10 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 1 2011 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
Cite this
Asymptotic behavior of solutions to a model system of a radiating gas. / Liu, Yongqin; Kawashima, Shuichi.
In: Communications on Pure and Applied Analysis, Vol. 10, No. 1, 01.01.2011, p. 209-223.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Asymptotic behavior of solutions to a model system of a radiating gas
AU - Liu, Yongqin
AU - Kawashima, Shuichi
PY - 2011/1/1
Y1 - 2011/1/1
N2 - In this paper we focus on the initial value problem for a hyperbolicelliptic coupled system of a radiating gas in multi-dimensional space. By using a time-weighted energy method, we obtain the global existence and optimal decay estimates of solutions. Moreover, we show that the solution is asymptotic to the linear diffusion wave which is given in terms of the heat kernel.
AB - In this paper we focus on the initial value problem for a hyperbolicelliptic coupled system of a radiating gas in multi-dimensional space. By using a time-weighted energy method, we obtain the global existence and optimal decay estimates of solutions. Moreover, we show that the solution is asymptotic to the linear diffusion wave which is given in terms of the heat kernel.
UR - http://www.scopus.com/inward/record.url?scp=80255130395&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80255130395&partnerID=8YFLogxK
U2 - 10.3934/cpaa.2011.10.209
DO - 10.3934/cpaa.2011.10.209
M3 - Article
AN - SCOPUS:80255130395
VL - 10
SP - 209
EP - 223
JO - Communications on Pure and Applied Analysis
JF - Communications on Pure and Applied Analysis
SN - 1534-0392
IS - 1
ER -