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Zapiski Nauchnykh Seminarov LOMI, 1987, Volume 163, Pages 66–75 (Mi znsl5458)  

This article is cited in 3 scientific papers (total in 3 papers)

On the global behaviour of solutions of some fourth order nonlinear equations

V. K. Kalantarov
Full-text PDF (440 kB) Citations (3)
Abstract: Zbere are considered two classes of fourth order nonlinear evolution equations, for first class, included the well known Hahn–Hillard equation, it is proved that there exists a global minimal $B$-attractor, and it is compact and connected, for the second class, included Sivashinsky equation, it is proved a blow-up theorem. In addition, for the Kuramoto–Sivashinsky equation, in one-dimensional case, for even solutions it is prouved the existence of a global minimal $B$-attractor in the fase-space $W_2^1$. Xhis attraetor is compact and connected. In the multi-dimensional case $(n=2,3)$ under some assumption, it is proved the existence of compact attractors for some bounded sets.
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. K. Kalantarov, “On the global behaviour of solutions of some fourth order nonlinear equations”, Boundary-value problems of mathematical physics and related problems of function theory. Part 19, Zap. Nauchn. Sem. LOMI, 163, "Nauka", Leningrad. Otdel., Leningrad, 1987, 66–75
Citation in format AMSBIB
\Bibitem{Kal87}
\by V.~K.~Kalantarov
\paper On the global behaviour of solutions of some fourth order nonlinear equations
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~19
\serial Zap. Nauchn. Sem. LOMI
\yr 1987
\vol 163
\pages 66--75
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5458}
\zmath{https://zbmath.org/?q=an:0668.35080}
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  • https://www.mathnet.ru/eng/znsl/v163/p66
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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