论文标题
全球存在，即离散的Safronov-Dubovskiǐ凝血方程和大规模保存失败
Global existence to the discrete Safronov-Dubovskiǐ coagulation equations and failure of mass-conservation
论文作者
论文摘要
本文介绍了对一大批满足$λ_{i，j} =θ_iθ_j +κ__{i，j} $的全球解决方案的存在，以实现一大型凝结核的离散safronov-dubvoskiǐ凝结方程。 i，j \ ge 1 $，其中序列$（θ_i）_ {i \ geq 1} $相对于$ i $，线性或高等法生长。此外，还解决了溶液质量保存的失败，这证实了胶凝现象的发生。
This paper presents the existence of global solutions to the discrete Safronov-Dubvoskiǐ coagulation equations for a large class of coagulation kernels satisfying $Λ_{i,j} = θ_i θ_j + κ_{i,j}$ with $κ_{i,j} \leq Aθ_i θ_j, \ \ \forall \ \ i,j\ge 1$ where the sequence $(θ_i)_{i\geq 1}$ grows linearly or superlinearly with respect to $i$. Moreover, the failure of mass-conservation of the solution is also addressed which confirms the occurrence of the gelation phenomenon.
