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

页码：195 / 203

页数：9

共 50 条

[31] Nonexistence of Global Solutions for a Class of Nonlinear Hyperbolic Equation
Wang, Yanping
Zhang, Litao
FIFTH INTERNATIONAL CONFERENCE ON MACHINE VISION (ICMV 2012): COMPUTER VISION, IMAGE ANALYSIS AND PROCESSING, 2013, 8783
[32] Existence and Nonexistence of the Solutions to the Cauchy Problem of Quasilinear Parabolic Equation with a Gradient Term
Mingjun Zhou
Yang Leng
Lithuanian Mathematical Journal, 2021, 61 : 123 - 142
[33] Nonexistence of solutions for quasilinear Schrodinger equation in Double-struck capital RN
Chen, Lijuan
Chen, Caisheng
Yang, Hongwei
Xiu, Zonghu
APPLICABLE ANALYSIS, 2022, 101 (09) : 3479 - 3496
[34] Existence and Nonexistence of the Solutions to the Cauchy Problem of Quasilinear Parabolic Equation with a Gradient Term
Zhou, Mingjun
Leng, Yang
LITHUANIAN MATHEMATICAL JOURNAL, 2021, 61 (01) : 123 - 142
[35] Nonexistence of solutions to a quasilinear elliptic problem
Wang, Junyu
Gao, Wenjie
Nonlinear Analysis, Theory, Methods and Applications, 1997, 28 (03): : 533 - 538
[36] Nonexistence of solutions to a quasilinear elliptic problem
Wang, JY
Gao, WJ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (03) : 533 - 538
[37] Nonexistence of solutions for quasilinear hyperbolic inequalities
Xiao, Suping
Fang, Zhong Bo
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
[38] Nonexistence of solutions for quasilinear hyperbolic inequalities
Suping Xiao
Zhong Bo Fang
Journal of Inequalities and Applications, 2021
[39] POSITIVITY AND NONEXISTENCE OF SOLUTIONS FOR QUASILINEAR INEQUALITIES
Li, Xiaohong
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[40] Global nonexistence of solutions for systems of quasilinear hyperbolic equations with damping and source terms
Ye, Yaojun
BOUNDARY VALUE PROBLEMS, 2014,

← 1 2 3 4 5 →