RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Izv. RAN. Ser. Mat.: Year: Volume: Issue: Page: Find

 Izv. Akad. Nauk SSSR Ser. Mat., 1981, Volume 45, Issue 1, Pages 227–238 (Mi izv1555)

On the asymptotic behavior of the solution of the second boundary value problem for a quasilinear parabolic system of chemical kinetics

A. N. Peregudov

Abstract: The question of the stabilization of the solution of the second boundary value problem for a quasilinear parabolic system as the time increases without bound is studied.
A theorem is proved on the stabilization of the components $u_i(t,x)$ to constants as $t\to\infty$ which are uniquely determined by the initial conditions and the functions $F_i$, and an exponential estimate for the rate of stabilization is also obtained.
Bibliography: 5 titles.

Full text: PDF file (789 kB)
References: PDF file   HTML file

English version:
Mathematics of the USSR-Izvestiya, 1982, 18:1, 195–204

Bibliographic databases:

UDC: 517.956
MSC: 35K60, 35B40, 80A30

Citation: A. N. Peregudov, “On the asymptotic behavior of the solution of the second boundary value problem for a quasilinear parabolic system of chemical kinetics”, Izv. Akad. Nauk SSSR Ser. Mat., 45:1 (1981), 227–238; Math. USSR-Izv., 18:1 (1982), 195–204

Citation in format AMSBIB
\Bibitem{Per81} \by A.~N.~Peregudov \paper On~the asymptotic behavior of the solution of the second boundary value problem for a~quasilinear parabolic system of chemical kinetics \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1981 \vol 45 \issue 1 \pages 227--238 \mathnet{http://mi.mathnet.ru/izv1555} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=607584} \zmath{https://zbmath.org/?q=an:0483.35046|0467.35061} \transl \jour Math. USSR-Izv. \yr 1982 \vol 18 \issue 1 \pages 195--204 \crossref{https://doi.org/10.1070/IM1982v018n01ABEH001381}