Finite time blow up of the solutions to boussinesq equation with linear restoring force and arbitrary positive energy

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• 作者：Nikolay KUTEV ^{kutev@math.bas.bg" class="auth_mail" title="E-mail the corresponding author} ; Natalia KOLKOVSKA ^{natali@math.bas.bg" class="auth_mail" title="E-mail the corresponding author} ; Milena DIMOVA ^{mkoleva@math.bas.bg" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Boussinesq equation with linear restoring force ; finite time blow up ; arbitrary high positive energy ; combined power nonlinearities ; sign preserving functionals
• 刊名：Acta Mathematica Scientia
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：36
• 期：3
• 页码：881-890
• 全文大小：345 K

文摘

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.