Sixth order Boussinesq equation potential well method finite time blow up arbitrary high positive initial energy
Issue Date:
2014
Publisher:
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 23, No 1, (2014), 81p-94p
Abstract:
Potential well method is established to sixth order Boussinesq equation with linear restoring force and subcritical initial energy. For supercritical initial energy finite time blow up of the solutions is proved under general structural conditions on the initial data. Numerical experiments, illustrating the theoretical results, are presented. 2000 Mathematics Subject Classification: 35L30,76B15,65M06.
