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VISCOSITY SOLUTIONS FOR THE INHOMOGENEOUS RELATIVISTIC VLASOV EQUATION ON A SPHERICALLY SYMMETRIC GRAVITATIONAL FIELD SPACE-TIME
Author(s) : Foko Kamseu Maturin, Dongo David, Nguelemo Nkenfack Abel and Woukeng Jean Louis
Pages : [1] - [26]
Received : April 14, 2022
Communicated by : Professor Emrullah Yasar
Pages : [1] - [26]
Received : April 14, 2022
Communicated by : Professor Emrullah Yasar
Abstract
The viscosity solution for the inhomogeneous relativistic Vlasov equation is investigated. We consider this equation on a spherically symmetric gravitational field space-time. We rigorously prove the existence result of the viscosity solution using method of vanishing viscosity and uniqueness result of this type of solution using comparison method in details.
Keywords
relativistic Vlasov equation, viscosity solution, partial differential equation, spherically symmetric.