论文标题

Smoluchowski的固定解决方案与来源的凝结方程

Stationary solutions to Smoluchowski's coagulation equation with source

论文作者

Laurençot, Philippe

论文摘要

当源术语可与(0,$ \ infty $)中的任意支持集成并进行任意支持时,研究了Smoluchowski与源的凝结方程的可集成固定解决方案的存在和不存在。除了代数上限和下边界外,凝血核还需要单调性条件。还研究了源的集成性属性与相应的固定溶液之间的连接。

Existence and non-existence of integrable stationary solutions to Smoluchowski's coagulation equation with source are investigated when the source term is integrable with an arbitrary support in (0, $\infty$). Besides algebraic upper and lower bounds, a monotonicity condition is required for the coagulation kernel. Connections between integrability properties of the source and the corresponding stationary solutions are also studied.

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