Asymptotic behaviour for a partially diffusive relaxation system
Asymptotic behaviour for a partially diffusive relaxation system
The time asymptotics of nonnegative and integrable solutions to a partially diffusive relaxation system is investigated. Under suitable assumptions on the relaxation term, the convergence to a self-similar source type solution, either of the heat equation or of the viscous Burgers equation, is proved. The proof relies on optimal decay …