One-dimensional compressible NavierStokes equations have been investigated, and the asymptotic stability of the shock wave has been established under conditi
ons of small perturbation. A superposition of the shock wave has been derived un
der conditions where the initial disturbance is sufficiently small. By the means
of existence and uniqueness of the local solution and the priori estimates, the
superposition of the shock wave is shown to have asymptotic stability. The proof is based on the elementary energy method.
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References
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Footnotes
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