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Stability of traveling wave solutions to Cauchy problem of diagnolizable quasilinear hyperbolic systems

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  • In this paper we consider the existence and stability of traveling wave solutions to Cauchy problem of diagonalizable quasilinear hyperbolic systems. Under the appropriate small oscillation assumptions on the initial traveling waves, we derive the stability result of the traveling wave solutions, especially for intermediate traveling waves. As the important examples, we will apply the results to some systems arising in fluid dynamics and elementary particle physics.
    Mathematics Subject Classification: Primary: 35C07, 37C75; Secondary: 35L45.

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