Porous-elastic Plates: Fourier Versus Type III

نویسندگان

چکیده

In this paper we investigate the time decay of solutions for a thermoelastic plate with voids in cases when heat conduction is modeled by Fourier law and it type III theory (with without inertial term). all situations show that, general, strong stability holds. particular, slow case, that is, do not exponentially to zero (in general). However, if coefficients satisfy new relationship involving coefficient (singular case), characterize exponential solutions. On other hand, situation very different prove generically exponentially. This another striking aspect compare both theories. difference consequence couplings appearing case which are present law.

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ژورنال

عنوان ژورنال: Applied Mathematics and Optimization

سال: 2021

ISSN: ['0095-4616', '1432-0606']

DOI: https://doi.org/10.1007/s00245-021-09793-5