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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 |
XU Hong-mei,ZHU Li-li
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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 |