| HSIAO Ling,PAN Ronghua.[J].数学年刊A辑,1999,20(2):223~232 |
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| NONLINEAR STABILITY OF RAREFACTION WAVES FOR ARATE-TYPE VISCOELASTIC SYSTEM |
| Received:March 23, 1997 Revised:October 09, 1998 |
| DOI： |
| 中文关键词: |
| 英文关键词:Nonlinear stability, Rarefaction waves, Relaxation
approximation |
| 基金项目: |
| Author Name | Affiliation | E-mail | | HSIAO Ling | Institute of Mathematics, Academia Sinica, Beijing 100080,
China | hsiao@sun.ihep.ac.cn | | PAN Ronghua | Institute of Mathematics, Academia Sinica, Beijing 100080,
China
Current address: SISSA, via Beirut n. 2-4, 34013, Trieste,
Italy. | panrh@sissa.it |
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| 中文摘要: |
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| 英文摘要: |
| The authors study a $3\times 3$ rate-type viscoelastic system, which is a relaxation approximation to a $2\times 2$ quasi-linear hyperbolic system,including the well-known $p$-system. It is shown that the rarefaction waves are nonlinear asymptotically stable in this relaxation approximation. |
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