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Matematicheskie Zametki, 2002, Volume 71, Issue 2, Pages 292–297
DOI: https://doi.org/10.4213/mzm347 (Mi mzm347) 		 
This article is cited in 43 scientific papers (total in 43 papers)

The Phase Space of an Initial-Boundary Value Problem for the Hoff Equation

G. A. Sviridyuk, V. O. Kazak

Chelyabinsk State University
Full-text PDF (184 kB) Citations (43)
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DOI: https://doi.org/10.4213/mzm347
Abstract: The Hoff equation $(\lambda +\Delta )u_t=-\alpha u-\beta u^3$ describes the H-beam buckling dynamics. We show that the phase space of the Hoff equation is a simple $C^\infty $ Banach manifold modeled on a subspace complementary to the kernel $\ker (\lambda +\Delta )$.
Received: 26.01.2000
English version:
Mathematical Notes, 2002, Volume 71, Issue 2, Pages 262–266
DOI: https://doi.org/10.1023/A:1013919500605
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: G. A. Sviridyuk, V. O. Kazak, “The Phase Space of an Initial-Boundary Value Problem for the Hoff Equation”, Mat. Zametki, 71:2 (2002), 292–297; Math. Notes, 71:2 (2002), 262–266
Citation in format AMSBIB
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    • This publication is cited in the following 43 articles:
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