Symmetrizers and continuity of stable subspaces for parabolic-hyperbolic boundary value problems

G. Métivier; K. Zumbrun

doi:10.3934/dcds.2004.11.205

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2004, Volume 11, Issue 1: 205-220. Doi: 10.3934/dcds.2004.11.205

This issue Previous Article Asymptotic structure for solutions of the Navier--Stokes equations Next Article Long-time averaging for some conservative PDEs having quadratic nonlinearities

Symmetrizers and continuity of stable subspaces for parabolic-hyperbolic boundary value problems

G. Métivier^1, and
K. Zumbrun^2,

1.
MAB, Université Bordeaux I, 351 Cours de la Libération, 33405 Talence Cedex
2.
Mathematics Department, Indiana University, Bloomington, IN 47405

Received: November 30, 2002

Revised: October 31, 2003

Published: December 2003

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Abstract

In this paper we prove the continuity of stable subspaces associated to parabolic-hyperbolic boundary value problems, for limiting values of parameters. The analysis is based on the construction performed in [MZ] of Kreiss' type symmetrizers.

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Mathematics Subject Classification: 35K50, 35L50, 35L67.

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