Convex duality and entropy-based moment closures: characterizing degenerate densities. (English) Zbl 1167.49033

Hauck, Cory D.; Levermore, C. David; Tits, André L.

SIAM J. Control Optim. 47, No. 4, 1977-2015 (2008).

MSC:

49N15	Duality theory (optimization)
90C25	Convex programming
82C40	Kinetic theory of gases in time-dependent statistical mechanics
35A35	Theoretical approximation in context of PDEs
94A17	Measures of information, entropy
76N15	Gas dynamics (general theory)
14P10	Semialgebraic sets and related spaces

Keywords:

convex duality; convex optimization; optimization in function spaces; kinetic theory; entropy-based closures; moment equations; gas dynamics