The effect on finite time breakdown due to modified Fourier laws

Kosiński, W.; Saxton, K.

doi:10.1090/qam/1205936

Authors: W. Kosiński and K. Saxton
Journal: Quart. Appl. Math. 51 (1993), 55-68
MSC: Primary 35L05; Secondary 73B30
DOI: https://doi.org/10.1090/qam/1205936
MathSciNet review: MR1205936
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Abstract: This paper discusses the finite time blow-up of the amplitude of acceleration waves in the case of heat propagation in one-dimensional rigid and elastic bodies. In both cases dissipation is not strong enough to preserve the smoothness of the solutions whose initial data is far from equilibrium.

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