Abstract
In this paper, we introduce an entropy condition for hyperbolic systems of balance laws. Under this condition, we use the Chapman-Enskog expansion to derive the corresponding viscous conservation laws. Further structural conditions are discussed in order to develop (local and global) existence theories for the balance laws and viscous conservation laws.
| Original language | English |
|---|---|
| Pages (from-to) | 345-364 |
| Number of pages | 20 |
| Journal | Archive for Rational Mechanics and Analysis |
| Volume | 174 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Dec 1 2004 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering
Cite this
Dissipative structure and entropy for hyperbolic systems of balance laws. / Kawashima, Shuichi; Yong, W. A.
In: Archive for Rational Mechanics and Analysis, Vol. 174, No. 3, 01.12.2004, p. 345-364.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Dissipative structure and entropy for hyperbolic systems of balance laws
AU - Kawashima, Shuichi
AU - Yong, W. A.
PY - 2004/12/1
Y1 - 2004/12/1
N2 - In this paper, we introduce an entropy condition for hyperbolic systems of balance laws. Under this condition, we use the Chapman-Enskog expansion to derive the corresponding viscous conservation laws. Further structural conditions are discussed in order to develop (local and global) existence theories for the balance laws and viscous conservation laws.
AB - In this paper, we introduce an entropy condition for hyperbolic systems of balance laws. Under this condition, we use the Chapman-Enskog expansion to derive the corresponding viscous conservation laws. Further structural conditions are discussed in order to develop (local and global) existence theories for the balance laws and viscous conservation laws.
UR - http://www.scopus.com/inward/record.url?scp=12444288058&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=12444288058&partnerID=8YFLogxK
U2 - 10.1007/s00205-004-0330-9
DO - 10.1007/s00205-004-0330-9
M3 - Article
AN - SCOPUS:12444288058
VL - 174
SP - 345
EP - 364
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
SN - 0003-9527
IS - 3
ER -