Convergence to diffusion waves for nonlinear evolution equations with ellipticity and damping, and with different end states
文献类型：期刊论文
| 作者 | Zhu, Chang Jiang; Zhang, Zhi Yong; Yin, Hui |
| 刊名 | Acta mathematica sinica-english series
 |
| 出版日期 | 2006-09-01 |
| 卷号 | 22期号:5页码:1357-1370 |
| 关键词 | Evolution equations Diffusion waves Decay rate Energy method A priori estimates |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-005-0728-9 |
| 通讯作者 | Zhu, chang jiang(cjzhu@mail.ccnu.edu.cn) |
| 英文摘要 | In this paper, we consider the global existence and the asymptotic behavior of solutions to the cauchy problem for the following nonlinear evolution equations with ellipticity and dissipative effects: integral psi(t) = -(1 - alpha)psi - theta(x) + alpha psi(xx), theta(t) = -(1 - alpha)theta + v psi(x) + (psi theta)(x) + alpha theta(xx), with initial data (psi, theta)(x, 0) = (psi(o)(x)) -> (psi(+/-), theta(+/-)) as x -> +/-infinity, where a and v are positive constants such that alpha < 1, v < 4 alpha(1 - alpha). under the assumption that vertical bar psi(+) - psi(-)vertical bar + vertical bar theta(+) - theta(-)vertical bar is sufficiently small, we show the global existence of the solutions to cauchy problem (e) and (i) if the initial data is a small perturbation. and the decay rates of the solutions with exponential rates also are obtained. the analysis is based on the energy method. |
| WOS关键词 | HYPERBOLIC CONSERVATION-LAWS ; CAUCHY-PROBLEM ; SYSTEM ; RELAXATION ; STABILITY ; RATES |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000240337900007 |
| 出版者 | SPRINGER HEIDELBERG |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2378573 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Zhu, Chang Jiang |
| 作者单位 | 1.Cent China Normal Univ, Lab Nonlinear Anal, Dept Math, Wuhan 430079, Peoples R China 2.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada 3.Chinese Acad Sci, Grad Sch, Beijing 100864, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhu, Chang Jiang,Zhang, Zhi Yong,Yin, Hui. Convergence to diffusion waves for nonlinear evolution equations with ellipticity and damping, and with different end states[J]. Acta mathematica sinica-english series,2006,22(5):1357-1370. |
| APA | Zhu, Chang Jiang,Zhang, Zhi Yong,&Yin, Hui.(2006).Convergence to diffusion waves for nonlinear evolution equations with ellipticity and damping, and with different end states.Acta mathematica sinica-english series,22(5),1357-1370. |
| MLA | Zhu, Chang Jiang,et al."Convergence to diffusion waves for nonlinear evolution equations with ellipticity and damping, and with different end states".Acta mathematica sinica-english series 22.5(2006):1357-1370. |
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来源：中国科学院大学
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