On the mass conserving solutions to the singular kernel coagulation with multi fragmentation
Das A, Saha J (2022)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2022
Journal
Book Volume: 40
Pages Range: 563-588
DOI: 10.1007/s13160-022-00544-9
Abstract
We investigate existence of mass conserving solutions to the coagulation and multiple fragmentation equation. The coagulation kernel is chosen from a large class of functions covering both singular and unbounded, nonsingular functions. On the other hand, fragmentation kernel includes non-singular, unbounded empirical functions. The existence proof is based on strong convergence results and it is proved with minimal restrictions over the kinetic kernels. In addition, we also prove the uniqueness property for global solution without any restriction on kinetic kernels. Moreover, the proposed results are also numerically illustrated for two well-known singular coagulation kernels.
Authors with CRIS profile
Arijit Das
Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)
Involved external institutions
India (IN)How to cite
APA:
Das, A., & Saha, J. (2022). On the mass conserving solutions to the singular kernel coagulation with multi fragmentation. Japan Journal of Industrial and Applied Mathematics, 40, 563-588. https://doi.org/10.1007/s13160-022-00544-9
MLA:
Das, Arijit, and Jitraj Saha. "On the mass conserving solutions to the singular kernel coagulation with multi fragmentation." Japan Journal of Industrial and Applied Mathematics 40 (2022): 563-588.
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