descriptionPublicationkeyboard_double_arrow_right Article 12 Jun 2019 English Publisher:Springer Science and Business Media LLCJournal:Journal of Dynamics and Differential Equations, volume 32, pages 1,669-1,685 (issn: 1040-7294, eissn: 1572-9222,

Authors: Quintanilla de Latorre, Ramón; Ueda, Yoshihiro;

doi: 10.1007/s10884-019-09767-w

handle: 2117/167868

Decay Structures for the Equations of Porous Elasticity in One-Dimensional Whole Space

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Abstract

This paper investigates the solutions of the porous-elastic materials with dissipation in the case of the whole real line. We consider three different cases. First we consider the case when there are dissipation mechanisms at the elastic structure and the porous structure and we prove the decay structure is standard type. Second we consider the cases when the dissipation is only on the elastic structure or on the porous structure. In these cases we show that the decay structure is regularity-loss type. Furthermore, we will show the optimality for the decay estimates for all cases.

Peer Reviewed

Related Organizations

Universitat Polite`cnica de Catalunya
Spain
Universitat Politècnica de Catalunya
Spain
Kobe University
Japan

Keywords

Differential equations, decay estimates, :74 Mechanics of deformable solids::74B Elastic materials [Classificació AMS], :Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC], stability analysis, Porous materials -- Thermal properties, Decay estimates, Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials, Initial value problems for second-order hyperbolic systems, regularity-loss structure, Thermoelasticity, Cauchy problem, :35 Partial differential equations::35Q Equations of mathematical physics and other areas of application [Classificació AMS], Regularity-loss structure, Asymptotic behavior of solutions to PDEs, Stability analysis, Differential equations, Partial, Equacions diferencials parcials, Materials porosos -- Propietats tèrmiques, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències, PDEs in connection with mechanics of deformable solids, Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application, Termoelasticitat, Partial

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