Well-posedness for thermo-electro-viscoelasticity of Green–Naghdi type

We study the linear theory of thermo-electro-viscoelasticity of Green–Naghdi type for the case of a one-dimensional body. For the corresponding mathematical model, we prove a uniqueness theorem of the solution to the mixed boundary-initial-value problem by means of the Laplace transform after rewrit...

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Veröffentlicht in:	Continuum mechanics and thermodynamics 2022, Vol.34 (1), p.39-60
Hauptverfasser:	Chirilă, Adina, Marin, Marin, Montanaro, Adriano
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Classical and Continuum Physics Constitutive equations Constitutive relationships Engineering Thermodynamics Heat and Mass Transfer Laplace transforms One dimensional bodies Original Article Physics Physics and Astronomy Structural Materials Theoretical and Applied Mechanics Uniqueness theorems Viscoelasticity Well posed problems
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Zusammenfassung:	We study the linear theory of thermo-electro-viscoelasticity of Green–Naghdi type for the case of a one-dimensional body. For the corresponding mathematical model, we prove a uniqueness theorem of the solution to the mixed boundary-initial-value problem by means of the Laplace transform after rewriting the constitutive equations in an appropriate form. Moreover, we derive a result of continuous dependence upon the supply terms.
ISSN:	0935-1175 1432-0959
DOI:	10.1007/s00161-021-01039-7