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Microscopic Theory of Isothermal Elastodynamics

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Abstract

This paper examines random perturbations of the anharmonic chain of coupled oscillators. The microscopic system has two conservation laws, and its hyperbolic scaling limit results in the quasi-linear wave equation (p-system) of isothermal (isentropic) elasticity. In the shock regime, the compensated compactness method is used. Lastly results from J. W. Shearer and D. Serre are applied.

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  1. Institute of Mathematics, Budapest University of Technology and Economics, Egry József u. 1. H-42, 1111, Budapest, Hungary

    József Fritz

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Fritz, J. Microscopic Theory of Isothermal Elastodynamics. Arch Rational Mech Anal 201, 209–249 (2011). https://doi.org/10.1007/s00205-010-0385-8

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