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
相关论文
共 50 条
  • [1] Decay and nonexistence of global solutions of a quasilinear riser equation
    Esquivel-Avila, Jorge A.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (01) : 71 - 79
  • [2] Nonexistence of global solutions of a quasilinear hyperbolic equation
    Bayrak, V
    Can, M
    Aliyev, F
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 1998, 1 (03): : 367 - 374
  • [3] Global existence and nonexistence of solutions for quasilinear parabolic equation
    Xianghui Xu
    Yong-Hoon Lee
    Zhong Bo Fang
    [J]. Boundary Value Problems, 2014
  • [4] Global existence and nonexistence of solutions for quasilinear parabolic equation
    Xu, Xianghui
    Lee, Yong-Hoon
    Fang, Zhong Bo
    [J]. BOUNDARY VALUE PROBLEMS, 2014,
  • [5] Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions
    Jeong, Jin-Mun
    Park, Jong-Yeoul
    Kang, Yong Han
    [J]. BOUNDARY VALUE PROBLEMS, 2017,
  • [6] Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions
    Jin-Mun Jeong
    Jong-Yeoul Park
    Yong Han Kang
    [J]. Boundary Value Problems, 2017
  • [7] A note on the global nonexistence of solutions to vibrations of a riser
    Gmira, A
    Guedda, M
    [J]. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2002, 27 (2A): : 197 - 206
  • [8] A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions
    Yong Han Kang
    Jong Yeoul Park
    Daewook Kim
    [J]. Boundary Value Problems, 2018
  • [9] Nonexistence of stable solutions for quasilinear Schrodinger equation
    Chen, Lijuan
    Chen, Caisheng
    Yang, Hongwei
    Song, Hongxue
    [J]. BOUNDARY VALUE PROBLEMS, 2018,
  • [10] A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions
    Kang, Yong Han
    Park, Jong Yeoul
    Kim, Daewook
    [J]. BOUNDARY VALUE PROBLEMS, 2018,
12345