| 摘要: |
| 本文研究了多维空间的Benjamin-Bona-Mahony-Burgers方程.在解整体存在的前提下，利用能量积分、时频分解等方法，得到此方程柯西问题解的衰减估计，并且此方程的衰减速率与热传导方程的相同. |
| 关键词: BBM-Burgers方程 时频分解 衰减估计 |
| DOI： |
| 分类号:O175.28 |
| 基金项目:国家自然科学基金资助项目（11571092）. |
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| THE DECAY ESTIMATE OF SOLUTIONS FOR BBM-BURGERS EQUATION IN MULTI DIMENSION |
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XU Hong-mei, ZHU Li-li
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College of Science, Hohai University, Nanjing 211100, China
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| Abstract: |
| In this paper, Benjamin-Bona-Mahony-Burgers equation in multi-dimensional space is investigated. When the global solution of this equation with initial data exists, by using methods of energy estimate and time-frequency decomposition, we obtain the decay estimate of the solution, and the decay rate is the same as that of the heat conduction equation. |
| Key words: BBM-Burgers equation time-frequency decomposition decay estimate |
