On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas

Akitaka Matsumura; Kenji Nishihara

doi:10.1007/BF03167036

On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas

Akitaka Matsumura^*, Kenji Nishihara

^*この研究の対応する著者

研究成果: Article › 査読

192 被引用数 (Scopus)

抄録

Travelling wave solutions with shock profile for a one-dimensional model system associated with compressible viscous gas are investigated in terms of asymptotic stability. The travelling wave solution is proved to be asymptotically stable, provided the initial disturbance is suitably small and of zero constant component. The proof is given by the elemental L² energy method.

本文言語	English
ページ（範囲）	17-25
ページ数	9
ジャーナル	Japan Journal of Applied Mathematics
巻	2
号	1
DOI	https://doi.org/10.1007/BF03167036
出版ステータス	Published - 1985 6
外部発表	はい

ASJC Scopus subject areas

工学（全般）
応用数学

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10.1007/BF03167036

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title = "On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas",

abstract = "Travelling wave solutions with shock profile for a one-dimensional model system associated with compressible viscous gas are investigated in terms of asymptotic stability. The travelling wave solution is proved to be asymptotically stable, provided the initial disturbance is suitably small and of zero constant component. The proof is given by the elemental L2 energy method.",

keywords = "asymptotic stability, Cauchy problem, compressible viscous gas, travelling wave solutions",

author = "Akitaka Matsumura and Kenji Nishihara",

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KW - asymptotic stability

KW - Cauchy problem

KW - compressible viscous gas

KW - travelling wave solutions

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On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas

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