Article ID Journal Published Year Pages File Type
4663391 Acta Mathematica Scientia 2016 10 Pages PDF
Abstract

Finite time blow up of the solutions to Boussinesq equation with linear restoring force and combined power nonlinearities is studied. Sufficient conditions on the initial data for nonexistence of global solutions are derived. The results are valid for initial data with arbitrary high positive energy. The proofs are based on the concave method and new sign preserving functionals.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)