Sixth order Boussinesq equation finite time blow up arbitrary initial energy
Issue Date:
2015
Publisher:
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 25, No 1, (2015), 91p-104p
Abstract:
Finite time blow up of the solutions to sixth order Boussinesq equation
with arbitrary positive initial energy is proved. An improved variant of the
concavity method of Levine is applied. This new method allows us to derive
nonexistence of global solutions under conditions on the initial data which
are more general than the assumptions used in the literature. 2010 Mathematics Subject Classification: 35L30; 35L75; 35B44.
