Unconditional nonlinear stability in a polarized dielectric liquid

Giuseppe Mulone; Salvatore Rionero; Brian Straughan

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1996)

  • Volume: 7, Issue: 4, page 241-252
  • ISSN: 1120-6330

Abstract

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We derive a very sharp nonlinear stability result for the problem of thermal convection in a layer of dielectric fluid subject to an alternating current (AC). It is particularly important to note that the size of the initial energy in which we establish global nonlinear stability is not restricted whatsoever, and the Rayleigh-Roberts number boundary coincides with that found by a formal linear instability analysis.

How to cite

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Mulone, Giuseppe, Rionero, Salvatore, and Straughan, Brian. "Unconditional nonlinear stability in a polarized dielectric liquid." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 7.4 (1996): 241-252. <http://eudml.org/doc/244320>.

@article{Mulone1996,
abstract = {We derive a very sharp nonlinear stability result for the problem of thermal convection in a layer of dielectric fluid subject to an alternating current (AC). It is particularly important to note that the size of the initial energy in which we establish global nonlinear stability is not restricted whatsoever, and the Rayleigh-Roberts number boundary coincides with that found by a formal linear instability analysis.},
author = {Mulone, Giuseppe, Rionero, Salvatore, Straughan, Brian},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Polarized dielectric liquid; Unconditional nonlinear stability; Generalized energy; generalized energy; thermal convection; alternating current; boundary for Rayleigh-Roberts numbers},
language = {eng},
month = {12},
number = {4},
pages = {241-252},
publisher = {Accademia Nazionale dei Lincei},
title = {Unconditional nonlinear stability in a polarized dielectric liquid},
url = {http://eudml.org/doc/244320},
volume = {7},
year = {1996},
}

TY - JOUR
AU - Mulone, Giuseppe
AU - Rionero, Salvatore
AU - Straughan, Brian
TI - Unconditional nonlinear stability in a polarized dielectric liquid
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1996/12//
PB - Accademia Nazionale dei Lincei
VL - 7
IS - 4
SP - 241
EP - 252
AB - We derive a very sharp nonlinear stability result for the problem of thermal convection in a layer of dielectric fluid subject to an alternating current (AC). It is particularly important to note that the size of the initial energy in which we establish global nonlinear stability is not restricted whatsoever, and the Rayleigh-Roberts number boundary coincides with that found by a formal linear instability analysis.
LA - eng
KW - Polarized dielectric liquid; Unconditional nonlinear stability; Generalized energy; generalized energy; thermal convection; alternating current; boundary for Rayleigh-Roberts numbers
UR - http://eudml.org/doc/244320
ER -

References

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