Weak solutions to the collision-induced breakage equation with dominating coagulation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:280

Article

Giri, Ankik Kumar¹  Laurencot, Philippe² 

[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttarakhand, India

[2] Univ Toulouse, Inst Math Toulouse, CNRS, UMR 5219, F-31062 Toulouse 9, France

关键词: Coagulation;    Nonlinear fragmentation;    Collision-induced breakage;    Existence;    Conservation of matter;    Uniqueness;   

DOI  :  10.1016/j.jde.2021.01.043

来源: Elsevier

【 摘 要 】

Existence and uniqueness of weak solutions to the collision-induced breakage and coagulation 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 proof relies on a weak compactness approach in L-1. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

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