A generalization of theH‐theorem to steady non‐equilibrium states. Part 1: A basic decomposition and the linear case

摘要

AbstractA generalized relative entropy functional is associated to the evolution of gas in a container with (generally) non‐uniform boundary data. A decomposition for its rate in ‘bulk’ and in ‘boundary’ terms is given; for the linear case both have a definite sign. The relation with the strongL1stability is po