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Título del libro: Hyperbolic Problems: Theory, Numerics, Applications
Título del capítulo: ON THE STABILITY OF DEGENERATE VISCOUS SHOCK PROFILES

Autores UNAM:
RAMON GABRIEL PLAZA VILLEGAS;
Autores externos:

Idioma:

Año de publicación:
2014
Palabras clave:

Degenerate viscous shocks; nonlinear stability; energy estimates; decay rates


Resumen:

In [16], we showed how to obtain L-p-decay rates for zero-mass perturbations of degenerate scalar viscous shock waves using energy methods. The proof is based upon previous work by Matsumura and Nishihara [12], by extending their weighted energy estimates to L-p-norms, and by obtaining sharp decay rates with the aid of basic interpolation inequalities. This contribution summarizes the results in [16] and illustrates the use of interpolation inequalities to obtain decay rates by analyzing the L-2 case as an example.


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