Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer

• Published in: Nonlinear analysis: real world applications Vol. 85; p. 104381
• Main Authors: Jaiswal, Ram Gopal, Giri, Ankik Kumar
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.10.2025
• Subjects: Collision-induced breakage; Conservation of mass; Existence; Nonlinear fragmentation; Uniqueness; 35R09; Collision-induced breakage; 35F20; Uniqueness; 45K05; Nonlinear fragmentation; Existence; Conservation of mass

A mathematical model for the continuous nonlinear fragmentation equation is considered in the presence of mass transfer. In this paper, we demonstrate the existence of mass-conserving weak solutions to the nonlinear fragmentation equation with mass transfer for collision kernels of the form Φ(x,y)=κ...