Two-waves nonlinear interactions for hyperbolic systems of balance laws

• Autorzy: Barbera E. , Giambo S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

conservation laws; hyperbolic equation; wave equation; wave propagation; two-wave nonlinear interactions; extended thermodynamics

PL

zasada zachowania; równanie hiperboliczne; równanie falowe; propagacja fal

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2002
• Tom: Vol. 43, no 2
• Strony: 165--185
• Opis fizyczny: Bibliogr. 7 poz., wykr.

Twórcy

autor

Barbera E.

• Dipartimento di Matematica, Universita della Calabria, Arcavacata, Cosenza, Italia

autor

Giambo S.

• Dipartimento di Matematica, Universita di Messina, Messina, Italia

Bibliografia

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• 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.