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Weak solutions to the continuous coagulation model with collisional breakage

  • * Corresponding author: Ankik Kumar Giri, Tel. +91-1332-284818 (O); Fax: +91-1332-273560

    * Corresponding author: Ankik Kumar Giri, Tel. +91-1332-284818 (O); Fax: +91-1332-273560

Partially supported by Science and Engineering Research Board (SERB), Department of Science and Technology (DST), India through the project YSS/2015/001306. The first author thanks to University Grant Commission (UGC), 6405/11/44, India for funding his PhD

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  • A global existence theorem on weak solutions is shown for the continuous coagulation equation with collisional breakage under certain classes of unbounded collision kernel and distribution functions. The model describes the dynamics of particle growth when binary collisions occur to form either a single particle via coalescence or two/more particles via breakup with possible transfer of mass. Each of these processes may take place with a suitably assigned probability depending on the volume of particles participating in the collision.

    Mathematics Subject Classification: Primary: 45K05, 45G10; Secondary: 34G20, 47J05.


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