论文标题
与单数内核的非线性碰撞诱导的片段化模型的质量保护全球解决方案
Mass conserving global solutions for the nonlinear collision-induced fragmentation model with a singular kernel
论文作者
论文摘要
本文致力于研究存在质量保护的全局解决方案，用于碰撞引起的非线性片段化模型，该模型在颗粒过程中产生，并具有奇异的碰撞内核。上述形式包括许多单数和非单明性类型的实践导向核。坐标轴未结合的碰撞内核的奇异性扩展了先前的存在结果，并且在无穷大时也表现出最多二次生长。最后，还研究了解决方案的唯一性。
This article is devoted to the study of existence of a mass conserving global solution for the collision-induced nonlinear fragmentation model which arises in particulate processes, with the singular type of collision kernel. The above mentioned form includes many practical oriented kernels of both singular and non-singular types. The singularity of the unbounded collision kernel at coordinate axes extends the previous existence result and also exhibits at most quadratic growth at infinity. Finally, uniqueness of solution is also investigated.
