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Matematicheskie Zametki, 1992, Volume 52, Issue 3, Pages 10–16 (Mi mzm4696)  
Verification of asymptotic solutions for one-dimensional nonlinear parabolic equations

S. A. Vakulenko

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Full-text PDF (1371 kB)
Abstract: The present article proves a result that is new for partial differential equations. According to this result, the solution of the Cauchy problem for a nonlinear parabolic equation with variable, slowly changing coefficients will turn into (asymptotically approach) a special asymptotic solution, either a solution or a kink, for high values of $t$.
Received: 20.04.1992
English version:
Mathematical Notes, 1992, Volume 52, Issue 3, Pages 875–880
DOI: https://doi.org/10.1007/BF01209606
Bibliographic databases:
UDC: 517
Language: Russian
Citation: S. A. Vakulenko, “Verification of asymptotic solutions for one-dimensional nonlinear parabolic equations”, Mat. Zametki, 52:3 (1992), 10–16; Math. Notes, 52:3 (1992), 875–880
Citation in format AMSBIB
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\by S.~A.~Vakulenko
\paper Verification of asymptotic solutions for one-dimensional nonlinear parabolic equations
\jour Mat. Zametki
\yr 1992
\vol 52
\issue 3
\pages 10--16
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1194124}
\zmath{https://zbmath.org/?q=an:0806.35071}
\transl
\jour Math. Notes
\yr 1992
\vol 52
\issue 3
\pages 875--880
\crossref{https://doi.org/10.1007/BF01209606}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992LF91500002}
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