Asymptotic Behaviour of Solutions to a Nonlinear Third Order P.D.E. Modeling Physical Phenomena

Salvatore Rionero

Bollettino dell'Unione Matematica Italiana (2012)

  • Volume: 5, Issue: 3, page 451-468
  • ISSN: 0392-4041

Abstract

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The longtime behaviour of the solutions to the initial boundary value problem (1.1)-(1.3) modeling various physical phenomena, either in the autonomous case or in the nonautonomous case, is studied. Conditions guaranteeing ultimately boundedness and conditions guaranteeing nonlinear asymptotic global stability of the null solution are obtained. Boundary conditions, different from (1.2)1-(1.2)2, are also considered (Section 9).

How to cite

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Rionero, Salvatore. "Asymptotic Behaviour of Solutions to a Nonlinear Third Order P.D.E. Modeling Physical Phenomena." Bollettino dell'Unione Matematica Italiana 5.3 (2012): 451-468. <http://eudml.org/doc/290957>.

@article{Rionero2012,
abstract = {The longtime behaviour of the solutions to the initial boundary value problem (1.1)-(1.3) modeling various physical phenomena, either in the autonomous case or in the nonautonomous case, is studied. Conditions guaranteeing ultimately boundedness and conditions guaranteeing nonlinear asymptotic global stability of the null solution are obtained. Boundary conditions, different from (1.2)1-(1.2)2, are also considered (Section 9).},
author = {Rionero, Salvatore},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {451-468},
publisher = {Unione Matematica Italiana},
title = {Asymptotic Behaviour of Solutions to a Nonlinear Third Order P.D.E. Modeling Physical Phenomena},
url = {http://eudml.org/doc/290957},
volume = {5},
year = {2012},
}

TY - JOUR
AU - Rionero, Salvatore
TI - Asymptotic Behaviour of Solutions to a Nonlinear Third Order P.D.E. Modeling Physical Phenomena
JO - Bollettino dell'Unione Matematica Italiana
DA - 2012/10//
PB - Unione Matematica Italiana
VL - 5
IS - 3
SP - 451
EP - 468
AB - The longtime behaviour of the solutions to the initial boundary value problem (1.1)-(1.3) modeling various physical phenomena, either in the autonomous case or in the nonautonomous case, is studied. Conditions guaranteeing ultimately boundedness and conditions guaranteeing nonlinear asymptotic global stability of the null solution are obtained. Boundary conditions, different from (1.2)1-(1.2)2, are also considered (Section 9).
LA - eng
UR - http://eudml.org/doc/290957
ER -

References

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