FINITE TIME BLOW UP OF THE SOLUTIONS TO BOUSSINESQ EQUATION WITH LINEAR RESTORING FORCE AND ARBITRARY POSITIVE ENERGY

doi:10.1016/S0252-9602(16)30047-9

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (3): 881-890.doi: 10.1016/S0252-9602(16)30047-9

FINITE TIME BLOW UP OF THE SOLUTIONS TO BOUSSINESQ EQUATION WITH LINEAR RESTORING FORCE AND ARBITRARY POSITIVE ENERGY

Nikolay KUTEV, Natalia KOLKOVSKA, Milena DIMOVA

Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria

收稿日期:2015-02-05 修回日期:2015-11-18 出版日期:2016-06-25 发布日期:2016-06-25
通讯作者: Natalia KOLKOVSKA,E-mail:natali@math.bas.bg E-mail:natali@math.bas.bg
作者简介:Nikolay KUTEV,E-mail:kutev@math.bas.bg;Milena DIMOVA,E-mail:mkoleva@math.bas.bg
基金资助:
The authors are partially supported by Grant No. DFNI I-02/9 of the Bulgarian Science Fund.

FINITE TIME BLOW UP OF THE SOLUTIONS TO BOUSSINESQ EQUATION WITH LINEAR RESTORING FORCE AND ARBITRARY POSITIVE ENERGY

Nikolay KUTEV, Natalia KOLKOVSKA, Milena DIMOVA

Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria

Received:2015-02-05 Revised:2015-11-18 Online:2016-06-25 Published:2016-06-25
Contact: Natalia KOLKOVSKA,E-mail:natali@math.bas.bg E-mail:natali@math.bas.bg
Supported by:
The authors are partially supported by Grant No. DFNI I-02/9 of the Bulgarian Science Fund.

摘要/Abstract

摘要：

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.

关键词: Boussinesq equation with linear restoring force, finite time blow up, arbitrary high positive energy, combined power nonlinearities, sign preserving functionals

Abstract:

Key words: Boussinesq equation with linear restoring force, finite time blow up, arbitrary high positive energy, combined power nonlinearities, sign preserving functionals

中图分类号:

35L30

Nikolay KUTEV, Natalia KOLKOVSKA, Milena DIMOVA. FINITE TIME BLOW UP OF THE SOLUTIONS TO BOUSSINESQ EQUATION WITH LINEAR RESTORING FORCE AND ARBITRARY POSITIVE ENERGY[J]. 数学物理学报(英文版), 2016, 36(3): 881-890.

Nikolay KUTEV, Natalia KOLKOVSKA, Milena DIMOVA. FINITE TIME BLOW UP OF THE SOLUTIONS TO BOUSSINESQ EQUATION WITH LINEAR RESTORING FORCE AND ARBITRARY POSITIVE ENERGY[J]. Acta mathematica scientia,Series B, 2016, 36(3): 881-890.

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FINITE TIME BLOW UP OF THE SOLUTIONS TO BOUSSINESQ EQUATION WITH LINEAR RESTORING FORCE AND ARBITRARY POSITIVE ENERGY

FINITE TIME BLOW UP OF THE SOLUTIONS TO BOUSSINESQ EQUATION WITH LINEAR RESTORING FORCE AND ARBITRARY POSITIVE ENERGY

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