论文标题
碰撞引起的断裂方程的弱解和凝结
Weak Solutions to the Collision-Induced Breakage Equation with Dominating Coagulation
论文作者
论文摘要
当凝结是少量体积的主要机制时，显示出碰撞引起的破裂和凝聚方程的弱解的存在和独特性。碰撞内核可能比以前的贡献中所考虑的要具有较小体积的奇异性。另外，当碰撞内核是局部界限时，分析中包含的片段子分布功能类别更广泛。当碰撞内核最多线性地在无穷大时生长时，也构建了质量支持的溶液，事实证明，在无穷大的初始条件上腐烂的衰减很唯一。存在证明依赖于L 1中的紧凑型方法。
Existence and uniqueness of weak solutions to the collision-induced breakage and coag-ulation equation are shown when coagulation is the dominant mechanism for small volumes. The collision kernel may feature a stronger singularity for small volumes than the ones considered in previous contributions. In addition, when the collision kernel is locally bounded, the class of fragment daughter distribution functions included in the analysis is broader. Mass-conserving solutions are also constructed when the collision kernel grows at most linearly at infinity and are proved to be unique for initial conditions decaying sufficiently fast at infinity. The existence proofs relies on a weak compactness approach in L 1 .
