Unstable simple modes for a class of Kirchhoff equations

Marina Ghisi; Massimo Gobbino

Annales de la Faculté des sciences de Toulouse : Mathématiques (2001)

  • Volume: 10, Issue: 4, page 639-658
  • ISSN: 0240-2963

How to cite

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Ghisi, Marina, and Gobbino, Massimo. "Unstable simple modes for a class of Kirchhoff equations." Annales de la Faculté des sciences de Toulouse : Mathématiques 10.4 (2001): 639-658. <http://eudml.org/doc/73561>.

@article{Ghisi2001,
author = {Ghisi, Marina, Gobbino, Massimo},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {infinitely many simple modes; abstract Hilbert space setting},
language = {eng},
number = {4},
pages = {639-658},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Unstable simple modes for a class of Kirchhoff equations},
url = {http://eudml.org/doc/73561},
volume = {10},
year = {2001},
}

TY - JOUR
AU - Ghisi, Marina
AU - Gobbino, Massimo
TI - Unstable simple modes for a class of Kirchhoff equations
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2001
PB - UNIVERSITE PAUL SABATIER
VL - 10
IS - 4
SP - 639
EP - 658
LA - eng
KW - infinitely many simple modes; abstract Hilbert space setting
UR - http://eudml.org/doc/73561
ER -

References

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  1. [1] Arosio ( A.). - Averaged evolution equations. The Kirchhoff string and its treatment in scales of Banach spaces, proceedings of the "2nd workshop on functional-analytic methods in complex analysis" (Trieste, 1993), World Scientific, Singapore. MR1414220
  2. [2] Cazenave ( T.), Weissler ( F.B.). - Unstable simple modes of the nonlinear string, Quart. Appl. Math.38 (1980), 253-259. MR1388017
  3. [3] Dickey ( R.W.). - Stability of periodic solutions of the nonlinear string, Quart. Appl. Math.54 (1996), 287-305. Zbl0866.34044MR580884
  4. [4] Ghisi ( M.), Gobbino ( M.). - Stability of simple modes of the Kirchhoff equation, Nonlinearity14 (2001), 1197-1220. Zbl0989.35092MR1862817
  5. [5] Hale ( J.), Koçak ( H.). - Dynamics and Bifurcations, Springer, 1991. Zbl0745.58002MR1132015
  6. [6] Kirchhoff ( G.). — Vorlesungen über mathematische Physik: Mechanik, section 29.7, Teubner, Leipzig, 1876. JFM08.0542.01
  7. [7] Spagnolo ( S.). — The Cauchy problem for the Kirchhoff equation, Rend. Sem. Fis. Matem. Milano, 62 (1992), 17-51. Zbl0809.35061MR1293773

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