Asymptotic properties of singular solutions in degenerate parabolic equation with boundary flux

被引：0

作者：

Liu, Bingchen ^{[1
]}

Dong, Mengzhen ^{[1
]}

机构：

[1] China Univ Petr, Coll Sci, Qingdao, Peoples R China

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 11期

关键词：

Degenerate parabolic equation; blow-up rate; quenching rate; blow-up set; quenching set; BLOW-UP; PROFILE; TIME;

D O I：

10.1080/00036811.2018.1553032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with blow-up and quenching solutions of degenerate parabolic problem involvingm-Laplacian operator and nonlinear boundary flux. The blow-up and quenching criteria are classified under the conditions on the initial data but with less conditions on the relationship among the exponents, respectively. Moreover, asymptotic properties including singular rates, set and time estimates are determined for the blow-up solutions and the quenching solutions, respectively.

引用

页码：1986 / 1999

页数：14

共 50 条

[1] Quenching Phenomenon for A Degenerate Parabolic Equation with a Singular Boundary Flux
Ying Yang
[J]. Journal of Dynamical and Control Systems, 2021, 27 : 477 - 489
[2] Quenching Phenomenon for A Degenerate Parabolic Equation with a Singular Boundary Flux
Yang, Ying
[J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2021, 27 (03) : 477 - 489
[3] Asymptotic behaviour of solutions of a degenerate parabolic equation
Kwak, M
Yu, K
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 45 (01) : 109 - 121
[4] CONVERGENCE OF DIFFERENCE SOLUTIONS FOR DEGENERATE OR SINGULAR PARABOLIC EQUATION
FU, HY
[J]. KEXUE TONGBAO, 1987, 32 (15): : 1014 - 1019
[5] CONVERGENCE OF DIFFERENCE SOLUTIONS FOR DEGENERATE OR SINGULAR PARABOLIC EQUATION
符鸿源
[J]. Science Bulletin, 1987, (15) : 1014 - 1019
[6] EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A SINGULAR PARABOLIC EQUATION
夏莉
李敬娜
姚正安
[J]. Acta Mathematica Scientia, 2012, 32 (05) : 1875 - 1882
[7] EXISTENCE AND COST OF BOUNDARY CONTROLS FOR A DEGENERATE/SINGULAR PARABOLIC EQUATION
Biccari, U.
Hernandez-Santamaria, V
Vancostenoble, J.
[J]. MATHEMATICAL CONTROL AND RELATED FIELDS, 2020, : 495 - 530
[8] EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A SINGULAR PARABOLIC EQUATION
Xia Li
Li Jingna
Yao Zheng'an
[J]. ACTA MATHEMATICA SCIENTIA, 2012, 32 (05) : 1875 - 1882
[9] ASYMPTOTIC BEHAVIOR OF SINGULAR SOLUTIONS FOR A SEMILINEAR PARABOLIC EQUATION
Sato, Shota
Yanagida, Eiji
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2012, 32 (11) : 4027 - 4043
[10] Blowup singularity for a degenerate and singular parabolic equation with nonlocal boundary
Liu, Dengming
Ma, Jie
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (05) : 833 - 846

← 1 2 3 4 5 →