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A generalization of the H ‐theorem to steady non‐equilibrium states. Part 1: A basic decomposition and the linear case
Author(s) -
Triolo L.
Publication year - 1995
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670180702
Subject(s) - mathematics , generalization , sign (mathematics) , mathematical analysis , boundary value problem , decomposition , pure mathematics , chemistry , organic chemistry
A 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 strong L 1 stability is pointed out.