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NONLINEAR STABILITY OF TWO-MODE SHOCK PROFILES FOR A RATE-TYPE VISCOELASTIC SYSTEM WITH RELAXATION |
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| Authors: | HSIAO Ling and PAN Ronghua |
| Institution: | InstituteofMathematics,AcademniaSinica,Beijing100080,China. |
| Abstract: | The authors study a 3 x 3 rate-type viscoelastic system, which is a relaxation approximation to a 2 x 2 quasi-linear hroerbolic system, including the well-known p-system. The nonlinear stability of two-mode shock waves in this relaxation approximation is proved. |
| Keywords: | Nonlinear stability Two-mode shock profiles Relaxation approximation |
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