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Abstrakty
In this paper we study the weakly nonlinear interaction of two waves whose propagation is governed by hyperbolic systems of balance laws. The method used here makes use of nonlinear phase variables and consists in a perturbation analysis. It is applied to an Eulerian gas and to a gas described by extended thermodynamics with thirteen moments.
Czasopismo
Rocznik
Tom
Strony
165--185
Opis fizyczny
Bibliogr. 7 poz., wykr.
Twórcy
autor
- Dipartimento di Matematica, Universita della Calabria, Arcavacata, Cosenza, Italia
autor
- Dipartimento di Matematica, Universita di Messina, Messina, Italia
Bibliografia
- 1. Y. Choquet-Bruhat, Ondes asymptotiques et approchees pour systemes d’equations aux derivees partielles nonlinaires, J. Math. Pures Appl., 48, 117-158, 1969.
- 2. Y. He and T.B. Moodie, The signaling problem in nonlinear hyperbolic wave theory, Stud. Appl. Math., 85, 343-372, 1991.
- 3. J. Hunter and J.B. Keller, Weakly nonlinear high frequency waves, Com. Pure Appl. Math., 36, 547-569, 1983.
- 4. J. Hunter, A. Majda and R. Rosales, Resonantly interacting weakly nonlinear hyperbolic waves. II Several space variables, Stud. Appl. Math., 75, 187-226, 1986.
- 5. A. Majda and R. Rosales, Resonantly interacting weakly nonlinear hyperbolic waves. I. A single space variable, Stud. Appl. Math., 71, 149-179, 1984.
- 6. Y. He and T.B. Moodie, Two-waves interactions for weakly nonlinear hyperbolic waves, Stud. Appl. Math., 88, 241-267, 1993.
- 7. I. Müller, T. Ruggeri, Rational extended thermodynamics (2-nd ed.), Springer Tracts in Natural Philosophy, 37, New York 1998.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BAT5-0001-0094