一个带有阻尼项和源项的非线性粘弹性方程组解的整体衰减

本文考虑了一个带有非线性阻尼项的粘弹性方程组.通过使用扰动能量的方法,我们得到了整体解的能量泛函依据松弛函数的衰减速率按指数衰减或者多项式衰减.

不可压渗流方程解的衰减性

考虑不可压渗流方程,利用半群e-t(-Δ)α算子的性质,研究当初值充分小时,方程的解在空间PMn+1-2α(Rn)中的整体衰减速率.

带有阻尼项与源项的粘弹性波动方程解的一般衰减

研究了一个带有阻尼项和源项的粘弹性波动方程的初边值问题.在松弛函数满足一定的条件下,构造了恰当的能量泛函.结合能量扰动的方法与微分不等式技巧,证明了解能量的一般衰减.

On the Asymptotic Property of Solutions to Some Nonlinear Dissipative Wave Equations

In this paper the decay of global solutions to some nonlinear dissipative wave equations are discussed, which based on the method of prior estimate technique and a differenece inequality.

On the Asymptotic Property of Solution for Some Nonlinear Evolution Equation of Second Order

In the article we show the decay of the solution for some nonlinear evolution equation of second order by using a difference inequality.