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Abstract:
We obtain a striking new phenomenon that a perturbation of such a wave produces another wave with same given end states without other time- asymptoti state. This is markedly distinct from the vicous shock waves in gas flow. The author subsequently studied the overcompressive shocks in a MHD and elasticity model. Such a wave is called intermediate shock wave, whose admissibility has been controversial since the 1950's. One of the main research interests of the author in recent years has been the qualitative understanding of viscous conservation laws such as the compressible Navier-Stokes equations. Usual approach uses typical parabolic techniques such as spectral and energy methods, or maximum principle. These methods are of limited effectiveness because they fail to detect the hyperbolic mature of underlying inviscid models. A new approach is introduced to incorporate the nonlinear coupling of waves pertaining to different characteristics families, such as nonlinear acoustic wave and entropy waves in gas flow.
| Limitations: |
 APPROVED FOR PUBLIC RELEASE |
| Description: |
Final rept. 1 Jan 89-31 Dec 90 |
| Pages: |
3 |
| Report Date: |
31 DEC 90 |
| Contract Number: |
AFOSR-89-0203 |
| Report Number: |
A197142 |
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