论文标题
Oort-Hulst-Safronov凝血模型的瞬时凝胶和不存在
Instantaneous gelation and nonexistence for the Oort-Hulst-Safronov coagulation model
论文作者
论文摘要
研究了某种类别的无限制凝结核的瞬时凝胶化可能发生在Oort-Hulst-Safronov(OHS)凝结方程中。通过表明质量强度较弱的溶液的不存在,可以证实瞬时凝胶化的存在。最后,结果表明,对于此类内核,在任何时间间隔内都没有针对OHS凝血方程的弱解决方案。
The possible occurrence of instantaneous gelation to Oort-Hulst-Safronov (OHS) coagulation equation is investigated for a certain class of unbounded coagulation kernels. The existence of instantaneous gelation is confirmed by showing the nonexistence of mass-conserving weak solutions. Finally, it is shown that for such kernels, there is no weak solution to the OHS coagulation equation at any time interval.