摘要
利用熵函数并结合能量估计,研究了一维四阶退化抛物方程解随时间衰减的行为.时间增大时,得到解在H1意义下衰减到其初始值的平均值.
The long-time decay behavior of solutions of one dimensional 4th-order degenerate parabolic equation is studied by using the entropy function and energy estimate method. The solutions converge to the average of the initial value in the sense of H1 as the time tends to infinity.
出处
《天津师范大学学报（自然科学版）》
CAS
2007年第2期61-62,共2页
Journal of Tianjin Normal University：Natural Science Edition
关键词
薄膜方程
四阶抛物
衰减
thin film equation
fourth-order parabolic
decay
