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“Entropy Principle” and Main Field for a Non Linear Covariant System

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Wave Propagation

Part of the book series: C.I.M.E. Summer Schools ((CIME,volume 81))

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Abstract

My lecture is complementary to the lectures given by G.Boillat in the first part of this course. In particular I am shall deal with some problems concerning quasi-linear hyperbolic system compatible with a supplementary conservation law; relativistic theories will be considered with special emphasis.

I start with a brief bibliographical introduction to the subject I shall be concerned with.

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References

  1. I. Müller, Habilitationsschrift an der RWTH Aachen (1970). Arch. Rat. Mech. Anal. 40, 1–36 (1971). (See also “Entropy in non-equilibrium - a challenge to mathematicians” in Trend in Application of Pure Mathematics to Mechanics, Vol. 11; Ed. H.Zorski, Pitman London, 281–295 (1979)).

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  2. K.O.FRIEDRICHS and P.D.LAX, Proc. Nat. Acad. Sci. U.S.A. 68 1686–1688 (1971).

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  4. P.D. LAX, “Shock waves and entropy” in Contribution to non linear functional analysis Ed. E.H.Zarantonello, 603–634 New York; Academic Press (1971).

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  5. G. BOILLAT, C.R. Acad.Sc. Paris 283A, 409–412 (1976).

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  6. G. BOILLAT and T. RUGGERI, C.R. Acad. Sc. Paris 289A, 257–258 (1979).

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  8. M. BERGER and M. BERGER, Perspectives in nonlinearity. W. A.Benjamin, Inc. New York, p.137 (1968).

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  9. T. RUGGERI and A. STRUMIA, “Main field and convex covariant density for quasi-linear hyperbolic systems. Relativistic fluid dynamics”. (to appear).

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Authors and Affiliations

  1. Istituto di Matematica Applicata, Università di Bologna, Via Vallescura 2, Bologna, 40136, Italy

    Tommaso Ruggeri

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  1. Tommaso Ruggeri
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Giorgio Ferrarese

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Ruggeri, T. (2010). “Entropy Principle” and Main Field for a Non Linear Covariant System. In: Ferrarese, G. (eds) Wave Propagation. C.I.M.E. Summer Schools, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11066-5_7

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