论文标题
质量较弱的解决方案，用于与单数速率的Oort-Hulst-Safronov方程
Mass-conserving weak solutions to Oort-Hulst-Safronov coagulation equation with singular rates
论文作者
论文摘要
研究了全球弱解决方案对连续的Oort-Hulst-Safronov（OHS）凝血方程的存在，用于凝结核，以捕获零附近的奇异性并在无穷大处线性生长。证明主要依赖于经典的Smoluchowski凝结方程（SCE）和OHS凝结方程之间的关系，该方程在[16]中引入了广义凝结方程。此外，所有从适当意义上制定的薄弱解决方案都证明是质量支持的。我们在这里获得了OHS凝结方程的类似结果，与SCE [6]中的一个相似的结果。
Existence of global weak solutions to the continuous Oort-Hulst-Safronov (OHS) coagulation equation is investigated for coagulation kernels capturing a singularity near zero and growing linearly at infinity. The proof mainly relies on a relation, between classical Smoluchowski coagulation equation (SCE) and OHS coagulation equation, which is introduced in [16] as generalized coagulation equation. Moreover, all weak solutions formulated in a suitable sense are demonstrated to be mass-conserving. We obtain here a similar result for OHS coagulation equation as the one in [6] for SCE.
