Shock Waves in Conservation Laws With Physical Viscosity - Couverture souple

Liu, Tai-Ping; Zeng, Yanni

Couverture souple

ISBN 10 : 1470410168 ISBN 13 : 9781470410162

Editeur : American Mathematical Society, 2015

Synopsis

The authors study the perturbation of a shock wave in conservation laws with physical viscosity. They obtain the detailed pointwise estimates of the solutions. In particular, they show that the solution converges to a translated shock profile. The strength of the perturbation and that of the shock are assumed to be small but independent. The authors' assumptions on the viscosity matrix are general so that their results apply to the Navier-Stokes equations for the compressible fluid and the full system of magnetohydrodynamics, including the cases of multiple eigenvalues in the transversal fields, as long as the shock is classical. The authors' analysis depends on accurate construction of an approximate Green's function. The form of the ansatz for the perturbation is carefully constructed and is sufficiently tight so that the author can close the nonlinear term through Duhamel's principle.

A propos du livre

À propos de l'auteur

Tai-Ping Liu, Institute of Mathematics, Academia Sinica, Taipei, Taiwan, and Stanford University, CA, USA.

Yanni Zeng, University of Alabama at Birmingham, AL, USA.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 1470410168
• ISBN 13: 9781470410162
• Reliure: Broché
• Nombre de pages: 168
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible