Trend to Equilibrium for the Coagulation–Fragmentation Equation
Trend to Equilibrium for the Coagulation–Fragmentation Equation
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凝固-破碎方程的平衡趋势
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
I. Stewart
中科院分区：
文献类型：
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作者：
P. Dubovski;I. Stewart
对于线性凝聚核和常碎裂核，我们证明了平衡解的存在性，并考察了依赖于时间的解的渐近性质，证明了它们收敛到平衡点。估计了收敛的速度。结果还表明，具有相同密度的所有依赖于时间的解只能趋向于一个特定的定态解。在这个意义上，证明了均衡解是唯一的。依赖于时间的解的存在唯一性和质量守恒性已在作者以前的一篇论文中得到了证明[10]。
For a linear coagulation kernel and a constant fragmentation kernel we prove the existence of equilibrium solutions and examine asymptotic properties for time-dependent solutions which are proved to converge to the equilibria. The rate of the convergence is estimated. It is shown also that all time-dependent solutions with the same density can tend to only one particular steady-state solution. In this sense the equilibrium solution is proved to be unique. Existence, uniqueness and mass conservation of time-dependent solutions has been proved in a previous paper by the authors [10].