It is shown that the average density of the initial state determines the large time behavior of the system.
证明了积分意义下初始状态的平均密度决定了系统的大时间行为。
Therefore, the large time behavior of the global solution to viscous conservation laws has become one of the most important topics in fluid dynamics.
因此，粘性守恒律方程组整体解的大时间性态成为人们十分关心的问题。
Here we study the large time behavior of solutions to quasilinear hyperbolic systems in one dimension and hyperbolic-parabolic systems in multi-dimensions.
本文分别研究了一维拟线性双曲方程组与多维双曲-抛物方程组解的大时间状态行为。
Results show that this method has high accuracy even for very large time-step sizes, and possesses excellent long-time numerical calculation behavior.
文末的数值算例进一步表明，精细积分法对大的时间步长和长时间计算均有效，因此是一种很实用的方法。
Results show that this method has high accuracy even for very large time-step sizes, and possesses excellent long-time numerical calculation behavior.
文末的数值算例进一步表明，精细积分法对大的时间步长和长时间计算均有效，因此是一种很实用的方法。
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