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Izvestiya: Mathematics, 2004, Volume 68, Issue 3, Pages 461–492
DOI: https://doi.org/10.1070/IM2004v068n03ABEH000485 (Mi im485) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Asymptotics of solutions of non-linear dissipative equations

E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev

M. V. Lomonosov Moscow State University
English version PDF (315 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM2004v068n03ABEH000485
Abstract: We study the large-time asymptotic behaviour of solutions of the Cauchy problem for a system of non-linear evolution equations with dissipation. In the case when the initial data are small, we construct solutions using the contraction-mapping principle. When the initial data are large, we obtain the large-time asymptotics of solutions by taking into account a certain symmetry of the non-linear terms.
Received: 20.05.2003
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2004, Volume 68, Issue 3, Pages 29–62
DOI: https://doi.org/10.4213/im485
Bibliographic databases:
UDC: 517.9+535.5
MSC: 76B15, 35Q99, 35B40, 35L65, 35S10, 35Q53, 35Q35
Language: English
Original paper language: Russian
Citation: E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Asymptotics of solutions of non-linear dissipative equations”, Izv. Math., 68:3 (2004), 461–492
Citation in format AMSBIB
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\by E.~I.~Kaikina, P.~I.~Naumkin, I.~A.~Shishmarev
\paper Asymptotics of solutions of non-linear dissipative equations
\jour Izv. Math.
\yr 2004
\vol 68
\issue 3
\pages 461--492
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\crossref{https://doi.org/10.1070/IM2004v068n03ABEH000485}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:597
    Russian version PDF:247
    English version PDF:28
    References:80
    First page:1
     
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