STUDY OF SOLUTIONS TO A FOURTH ORDER PARABOLIC EQUATION∗
In: Mathematical Modelling and Analysis, Jg. 21 (2016-01-26), Heft 1, S. 1-15
Online
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Zugriff:
This paper studies a fourth-order parabolic equation ut + ε(unuxxx)x − δ|uxx|muxx = 0 with the boundary conditions uxx = 0, u = l and the initial condition u(x, 0) = u0(x). The existence of solutions is obtained from the semidiscretization method. When the initial function is close to a constant steady state solution, the uniqueness of the bounded solutions is obtained. Finally, by the iteration technique from its semi-discrete problem, the solution exponentially converges to a constant steady state solution as the time tends to infinity.
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STUDY OF SOLUTIONS TO A FOURTH ORDER PARABOLIC EQUATION∗
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Autor/in / Beteiligte Person: | Liang, Bo ; Shen, Huiying ; Peng, Xiting |
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Zeitschrift: | Mathematical Modelling and Analysis, Jg. 21 (2016-01-26), Heft 1, S. 1-15 |
Veröffentlichung: | Vilnius Gediminas Technical University, 2016 |
Medientyp: | unknown |
ISSN: | 1648-3510 (print) ; 1392-6292 (print) |
DOI: | 10.3846/13926292.2016.1127860 |
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