Instability of the stationary solutions of generalized dissipative Boussinesq equation

Amin Esfahani

Applications of Mathematics (2014)

  • Volume: 59, Issue: 3, page 345-358
  • ISSN: 0862-7940

Abstract

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In this work we study the generalized Boussinesq equation with a dissipation term. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive sufficient conditions for the blow-up of the solution to the problem. Furthermore, the instability of the stationary solutions of this equation is established.

How to cite

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Esfahani, Amin. "Instability of the stationary solutions of generalized dissipative Boussinesq equation." Applications of Mathematics 59.3 (2014): 345-358. <http://eudml.org/doc/261178>.

@article{Esfahani2014,
abstract = {In this work we study the generalized Boussinesq equation with a dissipation term. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive sufficient conditions for the blow-up of the solution to the problem. Furthermore, the instability of the stationary solutions of this equation is established.},
author = {Esfahani, Amin},
journal = {Applications of Mathematics},
keywords = {damped Boussinesq equation; stationary solution; instability; damped Boussinesq equation; stationary solution; instability},
language = {eng},
number = {3},
pages = {345-358},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Instability of the stationary solutions of generalized dissipative Boussinesq equation},
url = {http://eudml.org/doc/261178},
volume = {59},
year = {2014},
}

TY - JOUR
AU - Esfahani, Amin
TI - Instability of the stationary solutions of generalized dissipative Boussinesq equation
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 3
SP - 345
EP - 358
AB - In this work we study the generalized Boussinesq equation with a dissipation term. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive sufficient conditions for the blow-up of the solution to the problem. Furthermore, the instability of the stationary solutions of this equation is established.
LA - eng
KW - damped Boussinesq equation; stationary solution; instability; damped Boussinesq equation; stationary solution; instability
UR - http://eudml.org/doc/261178
ER -

References

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