BBM-Burgers方程解的整体存在性和有界性估计

摘要

通过构造一个Banach空间柯西序列的方法和解的整体有界性估计，得到一维空间去掉粘性项的BBM⁃Burgers方程ut ＋∂x u2－γ1∂xx ut ＋γ3∂4x u＝0大初值时，解的整体存在性及某些有界性估计。%By the construction of a Cauchy sequence in a Banach space and the global bounded estimate of solution,we obtain the global existence and the bounded estimate of solution of a one⁃dimensional BBM⁃Burgers equation without the viscous term ut +∂xu2 -γ1∂xxut +γ3∂4xu=0 with large initial date.