Probabilistic methods for a linear reaction-hyperbolic system with constant coefficients
It is considered a system of linear hyperbolic equations describing a simple transport model in which particles of type \(p\) change to particles of type \(q\) and conversely. The associated initial-boundary value problem of this deterministic system is reconsidered probabilistically involving a homogeneous stochastic process which evolves accordingly to the given partial differential equations. The approximate solution of the simple transport model is connected with a heat equation and its deviation from the exact solution is analyzed via central limit theorem and large deviation estimates. There are given and proved two theorems.
scientific article; zbMATH DE number 1500250