Dissipative Structure of Regularity-Loss Type and Applications

S. Kawashima ()
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S. Kawashima: Kyushu University

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 45-57 from Springer

Abstract: We discuss dissipative structure for partial differential equations. A useful characterization of the dissipative structure was well known for symmetric systems such as symmetric hyperbolic systems, symmetric hyperbolic–parabolic coupled systems, and so on. Recently, a new dissipative structure was found in the study of the dissipative Timoshenko system. This new dissipativity is of regularity-loss type and causes difficulties in solving the nonlinear problems. We present a time-weighted energy method to resolve the difficulties.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_4

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DOI: 10.1007/978-3-540-75712-2_4

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