| 具有流体动力阻尼项的波动方程解的渐近行为 |
| |
| 引用本文： | 王宏伟,郭红霞. 具有流体动力阻尼项的波动方程解的渐近行为[J]. 郑州大学学报(自然科学版), 2012, 0(2): 20-23 |
| |
| 作者姓名： | 王宏伟 郭红霞 |
| |
| 作者单位： | [1]新乡学院数学系,河南新乡453003 [2]西安交通大学理学院,陕西西安710049 [3]郑州大学数学系,河南郑州450001 |
| |
| 基金项目： | 国家自然科学基金资助项目,编号11171311. |
| |
| 摘 要： | 研究了一类具有流体动力阻尼项的波动方程的Cauchy问题.在初值的范数充分小的条件下,得到了整体解的存在性和解在Sobolev空间中的衰减性质.
|
| 关 键 词： | 流体动力阻尼项 整体解 压缩映射原理 |
Asymptotic Behavior of Solutions for Wave Equations with Hydrodynamical Damped Term |
| |
| WANG Hong-wei,GUO Hong-xia. Asymptotic Behavior of Solutions for Wave Equations with Hydrodynamical Damped Term[J]. Journal of Zhengzhou University (Natural Science), 2012, 0(2): 20-23 |
| |
| Authors: | WANG Hong-wei GUO Hong-xia |
| |
| Affiliation: | 1. Department of Mathematics, Xinxiang College, Xinxiang 453003, China ; 2. School of Science, Xi＇ an Jiaotong University, Xi＇an 710049, China; 3. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China) |
| |
| Abstract: | The Cauchy problem of wave equations with hydrodynamical damped term was studied. For sufficiently small initial data, the global existence and decay of the solution in Sobolev space were proved. |
| |
| Keywords: | hydrodynamical damped term global solution contraction principle |
| 本文献已被 维普 等数据库收录！ |
|
