Title: The continuous version of the generalized exchange-driven growth model Show Chinese title

Title: 广义交换驱动增长模型的连续版本

Abstract: In this article, we discuss the continuous version of the generalized exchange-driven growth model which is a variant of the coagulation model in which a smaller size particle is detached from a bigger one and merges with another particle. This new model is a continuous extension of the generalized exchange-driven growth model originally formulated in a discrete context [4]. In this work, we examine the existence of weak solutions to the continuous version of the generalized exchange-driven growth model under a suitable reaction rate. Under an additional condition on the reaction rates, a uniqueness result is established. Finally, we prove that solutions satisfy the mass-conserving property and the conservation of the total number of particles for coagulation rates with linear bounds. Show Chinese abstract

Abstract: 在本文中，我们讨论广义交换驱动增长模型的连续版本，这是凝聚模型的一种变体，在这种模型中，较小尺寸的粒子从较大的粒子上分离并与另一个粒子融合。 这个新模型是最初在离散背景下提出的广义交换驱动增长模型的连续扩展[4]。 在本工作中，我们在适当的反应速率下研究广义交换驱动增长模型连续版本的弱解的存在性。 在对反应速率的额外条件下，建立了唯一性结果。 最后，我们证明了当凝聚速率具有线性界时，解满足质量守恒性质和粒子总数的守恒。