On nonexistence of global solutions of a quasilinear riser equation

被引：1
|
作者：
Esquivel-Avila, Jorge A. [1 ]
机构：
[1] Univ Autonoma Metropolitana, Dept Ciencias Basicas Anal Matemat & Aplicac, Ave San Pablo 180, Mexico City 02200, DF, Mexico
来源：
ADVANCES IN PURE AND APPLIED MATHEMATICS | 2018年 / 9卷 / 03期
关键词：
Quasilinear wave equation; blow-up; high energies; marine riser;
D O I：
10.1515/apam-2017-0048
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a quasilinear equation of fourth order that models the mechanical vibrations of a marine riser. We study the nonexistence of global solutions for any real value of the initial energy. To this end, we construct a new invariant set and improve previous results.
引用
收藏
页码：195 / 203
页数：9
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