Existence and Uniqueness of Mass Conserving Solutions to the Coagulation, Multi-fragmentation Equations with Compactly Supported Kernels
Das A, Saha J (2022)
Publication Language: English
Publication Type: Book chapter / Article in edited volumes
Publication year: 2022
Publisher: Springer
Edited Volumes: Applied Analysis, Computation and Mathematical Modelling in Engineering
Series: Lecture Notes in Electrical Engineering
Book Volume: 897
DOI: 10.1007/978-981-19-1824-7_22
Abstract
In this article, the existence result of a solution to continuous nonlinear, initial value problem is studied. In particular, we consider a special type of problem representing the time evolution of particle number density due to the coagulation, multi-fragmentation events among the particles present in a system. The existence theorem is proved with the kinetic kernels having compact support. The proof of the main theorem is based on the contraction mapping principle. Furthermore, the mass conservation property of the existed solution is also investigated.
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). Existence and Uniqueness of Mass Conserving Solutions to the Coagulation, Multi-fragmentation Equations with Compactly Supported Kernels. In Santanu Saha Ray, H. Jafari, T. Raja Sekhar, Suchandan Kayal (Eds.), Applied Analysis, Computation and Mathematical Modelling in Engineering. Springer.
MLA:
Das, Arijit, and Jitraj Saha. "Existence and Uniqueness of Mass Conserving Solutions to the Coagulation, Multi-fragmentation Equations with Compactly Supported Kernels." Applied Analysis, Computation and Mathematical Modelling in Engineering. Ed. Santanu Saha Ray, H. Jafari, T. Raja Sekhar, Suchandan Kayal, Springer, 2022.
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