Stability of Nonlinear Waves

Liu, Tai-Ping

doi:10.1007/978-1-4613-8704-6_15

Tai-Ping Liu⁵

Part of the book series: The IMA Volumes in Mathematics and Its Applications ((IMA,volume 3))

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Abstract

Various stability results for nonlinear hyperbolic waves are described. Basic elements of a general theory such as decomposition into normal modes, time-invariants, hyperbolic-parabolic methods and time-asymptotic equivalence of physical systems are explained for physical models.

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Authors and Affiliations

Department of Mathematics and Institute of Physical Science and Technology, University of Maryland, College Park, MD, 20742, USA
Tai-Ping Liu

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Tai-Ping Liu
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Editors and Affiliations

Department of Mathematics, University of Maryland, College Park, MD, 20742, USA
Stuart S. Antman
School of Mathematics and Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN, 55455, USA
J. L. Ericksen
School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA
David Kinderlehrer
FB9-Hermann Föttinger Institut, Technical University, Berlin, Germany
Ingo Müller

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Liu, TP. (1987). Stability of Nonlinear Waves. In: Antman, S.S., Ericksen, J.L., Kinderlehrer, D., Müller, I. (eds) Metastability and Incompletely Posed Problems. The IMA Volumes in Mathematics and Its Applications, vol 3. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8704-6_15

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DOI: https://doi.org/10.1007/978-1-4613-8704-6_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-8706-0
Online ISBN: 978-1-4613-8704-6
eBook Packages: Springer Book Archive

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