On the spatial behavior in two-temperature generalized thermoelastic theories

被引：6

作者：

Miranville, Alain ^{[1
]}

Quintanilla, Ramon ^{[2
]}

机构：

[1] Univ Poitiers, Lab Math & Applicat, UMR CNRS 7348, SP2MI, Blvd Marie & Pierre Curie,Teleport 2, F-86962 Futuroscope, France

[2] ESEIAAT UPC Matemat, Colom 11, Terrassa Barcelona 08222, Spain

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2017年 / 68卷 / 05期

关键词：

Generalized thermoelasticity with two temperatures; Spatial behavior; Phragmen-Lindelof alternative; PHASE-FIELD SYSTEM; 2; TEMPERATURES; HEAT-CONDUCTION; DECAY; UNIQUENESS; STABILITY; GROWTH;

D O I：

10.1007/s00033-017-0857-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the spatial behavior of the solutions of two generalized thermoelastic theories with two temperatures. To be more precise, we focus on the Green-Lindsay theory with two temperatures and the Lord-Shulman theory with two temperatures. We prove that a Phragmen-Lindelof alternative of exponential type can be obtained in both cases. We also describe how to obtain a bound on the amplitude term by means of the boundary conditions for the Green-Lindsay theory with two temperatures.

引用

页数：16

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