Blow-up of solutions for a quasilinear system with degenerate damping terms

被引：4

作者：

Boulaaras, Salah ^{[1
,2
]}

Choucha, Abdelbaki ^{[3
]}

Agarwal, Praveen ^{[4
]}

Abdalla, Mohamed ^{[5
,6
]}

Idris, Sahar Ahmed ^{[7
]}

机构：

[1] Qassim Univ, Coll Sci & Arts, Dept Math, Buraydah, Saudi Arabia

[2] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Oran, Algeria

[3] Univ El Oued, Fac Exact Sci, Dept Math, El Oued, Algeria

[4] Anand Int Coll Engn, Agra Rd, Jaipur 303012, Rajasthan, India

[5] King Khalid Univ, Fac Sci, Dept Math, Abha 61471, Saudi Arabia

[6] South Valley Univ, Fac Sci, Math Dept, Qena 83523, Egypt

[7] King Khalid Univ, Coll Ind Engn, Abha 61471, Saudi Arabia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Viscoelastic equation; Blow-up; Strong damping; Distributed delay; GENERAL DECAY; VISCOELASTIC EQUATION; WAVE-EQUATION; EXISTENCE;

D O I：

10.1186/s13662-021-03609-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and general source terms. According to some suitable hypothesis, we study the blow-up of solutions. This is the general case of the recent results of Boulaaras' works (Bull. Malays. Math. Sci. Soc. 43:725-755, 2020) and (Appl. Anal. 99:1724-1748, 2020).

引用

页数：13

共 50 条

[41] Blow-up and Global Existence of Solutions for a Nonlocal Degenerate Parabolic System
Ling, Zheng Qiu
Wang, Ze Jia
[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2012, 33 (02) : 123 - 133
[42] Blow-up and global existence of solutions for a nonlocal degenerate parabolic system
Zheng Qiu Ling
Ze Jia Wang
[J]. Lobachevskii Journal of Mathematics, 2012, 33 (2) : 123 - 133
[43] Behavior of blow-up solutions for quasilinear parabolic equations
Yevgenieva Y.A.
[J]. Journal of Mathematical Sciences, 2020, 249 (5) : 804 - 816
[44] Blow up of Solutions for a Coupled Kirchhoff-type Equations with Degenerate Damping Terms
Piskin, Erhan
Ekinci, Fatma
[J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2019, 14 (02): : 942 - 956
[45] Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations
A. E. Shishkov
Ye. A. Yevgenieva
[J]. Mathematical Notes, 2019, 106 : 639 - 650
[46] Global solutions and blow-up for Klein-Gordon equation with damping and logarithmic terms
Xie, Changping
Fang, Shaomei
[J]. APPLICABLE ANALYSIS, 2024, 103 (08) : 1513 - 1539
[47] On the minimal solution for quasilinear degenerate elliptic equation and its blow-up
Horiuchi, T
Kunlin, P
[J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2004, 44 (02): : 381 - 439
[48] Global existence and blow-up of solutions for some hyperbolic systems with damping and source terms
Department of Mathematics, Southeast University, Nanjing 210018, China
不详
[J]. Nonlinear Anal Theory Methods Appl, 2006, 1 (69-91):
[49] Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations
Shishkov, A. E.
Yevgenieva, Ye. A.
[J]. MATHEMATICAL NOTES, 2019, 106 (3-4) : 639 - 650
[50] EXISTENCE AND BOUNDARY BEHAVIOR OF SOLUTIONS FOR BOUNDARY BLOW-UP QUASILINEAR ELLIPTIC PROBLEMS WITH GRADIENT TERMS
Liu, Chunlian
[J]. DIFFERENTIAL EQUATIONS & APPLICATIONS, 2021, 13 (03): : 281 - 295

← 1 2 3 4 5 →