Global existence and blow-up solutions for quasilinear reaction-diffusion equations with a gradient term
文献类型：期刊论文
| 作者 | Ding, Juntang1; Guo, Bao-Zhu1,2,3
|
| 刊名 | APPLIED MATHEMATICS LETTERS
 |
| 出版日期 | 2011-06-01 |
| 卷号 | 24期号:6页码:936-942 |
| 关键词 | Reaction-diffusion equation Blow-up solution Global solution Gradient term |
| ISSN号 | 0893-9659 |
| DOI | 10.1016/j.aml.2010.12.052 |
| 英文摘要 | In this work, we study the blow-up and global solutions for a quasilinear reaction-diffusion equation with a gradient term and nonlinear boundary condition: {(g(u))(t) = Delta u + f (x, u, vertical bar del u vertical bar(2) t) in D x (0, T). partial derivative u/partial derivative n = r(u) on partial derivative D x (0, T) u(x, 0) = u(0)(x) > 0 in (D) over bar. where D subset of R-N is a bounded domain with smooth boundary partial derivative D. Through constructing suitable auxiliary functions and using maximum principles, the sufficient conditions for the existence of a blow-up solution, an upper bound for the "blow-up time", an upper estimate of the "blow-up rate", the sufficient conditions for the existence of the global solution, and an upper estimate of the global solution are specified tinder some appropriate assumptions on the nonlinear system functions f, g, r, and initial value u(0). (C) 2011 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[61074048] ; National Natural Science Foundation of China[60974032] ; National Basic Research Program of China[2011CB808002] ; Natural Science Foundation of Shanxi Province ; Shanxi Scholarship Council of China |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000288883800026 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12377]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Ding, Juntang |
| 作者单位 | 1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa |
| 推荐引用方式 GB/T 7714 | Ding, Juntang,Guo, Bao-Zhu. Global existence and blow-up solutions for quasilinear reaction-diffusion equations with a gradient term[J]. APPLIED MATHEMATICS LETTERS,2011,24(6):936-942. |
| APA | Ding, Juntang,&Guo, Bao-Zhu.(2011).Global existence and blow-up solutions for quasilinear reaction-diffusion equations with a gradient term.APPLIED MATHEMATICS LETTERS,24(6),936-942. |
| MLA | Ding, Juntang,et al."Global existence and blow-up solutions for quasilinear reaction-diffusion equations with a gradient term".APPLIED MATHEMATICS LETTERS 24.6(2011):936-942. |
入库方式： OAI收割
来源：数学与系统科学研究院
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