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Well-posedness of the nonlinear equations for zero Mach number combustion. (English) Zbl 0632.76075
A. Majda’s equations for a general mixture of gases [Equations for low Mach number combustion, Center for Pure and Appl. Math., Univ. Calif. Berkeley, Rep. # 112 (1982)] are presented and it is proved that the initial value problem is well posed for periodic boundary conditions.
Reviewer: G.Boillat

MSC:
76L05 Shock waves and blast waves in fluid mechanics
76T99 Multiphase and multicomponent flows
80A32 Chemically reacting flows
35R25 Ill-posed problems for PDEs
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