Sommario
Si studiano le condizioni algebriche sugli esponenti caratteristici che assicurano la stabilità infinitesima dello equilibrio di una miscela bifase nella classe delle perturbazioni regolari nulle sul contorno della regione contenente la miscela.
Dalle condizioni di stabilità si deducono le velocità reali di propagazione di onde della miscela.
Summary
We study the algebraic conditions on the characteristic exponents ensuring the infinitesimal stability of the equilibrium of a two constituent-mixture in the class of regular perturbations vanishing on the boundary of the region containing the mixture.
From the stability conditions we deduce the real speeds of wave propagation in the mixture.
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References
Truesdell C.,Rational Thermodynamics, McGraw Hill, New York (1969).
Müller I.,Thermodynamik, die Grundlagen der Materialtheorie, Bertelsmann Universitätsverlag, Düsseldorf (1973).
Weinberger H. F.,Partial Differential Equations, A First Course, Waltham, Blaisdell (1965).
Bellman R.,Introduction to Matrix Analysis, McGraw Hill, New York (1960).
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Müller, I., Villaggio, P. Condition of stability and wave speeds for fluid mixtures. Meccanica 11, 191–195 (1976). https://doi.org/10.1007/BF02128291
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DOI: https://doi.org/10.1007/BF02128291