The conservative model of a dissipative dynamical system
In: Journal of Mathematical Sciences, Jg. 91 (1998-08-01), S. 2711-2721
Online
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Zugriff:
Let Rσ be the response operator of a dissipative dynamical system (DS) governed by the equation utt−σut−uxx=0, x>0, where σ=σ(x)≧0. Let Rq be the response operator of a conservative DS governed by the equation utt−uxx+qu=0, x>0, where q=q(x) is real. We demonstrate that for any dissipative DS there exists a unique conservative DS (the “model”) such that Rσ=Rq. Bibliography: 10 titles.
Titel: |
The conservative model of a dissipative dynamical system
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Autor/in / Beteiligte Person: | Belishev, Mikhail I. |
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Zeitschrift: | Journal of Mathematical Sciences, Jg. 91 (1998-08-01), S. 2711-2721 |
Veröffentlichung: | Springer Science and Business Media LLC, 1998 |
Medientyp: | unknown |
ISSN: | 1573-8795 (print) ; 1072-3374 (print) |
DOI: | 10.1007/bf02433986 |
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