Partial exact controllability for the linear thermo-viscoelastic model
نویسندگان
چکیده
The problem of partial exact controllability for linear thermo-viscoelasticity is considered. Using classical multiplier techniques, a boundary observability inequality is established under smallness restrictions on coupling parameters and relaxation functions. Then, via the Hilbert Uniqueness method, the result of partial exact controllability is obtained with Dirichlet boundary controls acting on a part of the boundary of a domain. §
منابع مشابه
Rheological Response and Validity of Viscoelastic Model Through Propagation of Harmonic Wave in Non-Homogeneous Viscoelastic Rods
This study is concerned to check the validity and applicability of a five parameter viscoelastic model for harmonic wave propagating in the non-homogeneous viscoelastic rods of varying density. The constitutive relation for five parameter model is first developed and validity of these relations is checked. The non-homogeneous viscoelastic rods are assumed to be initially unstressed and at rest....
متن کاملThermo-Viscoelastic Interaction Subjected to Fractional Fourier law with Three-Phase-Lag Effects
In this paper, a new mathematical model of a Kelvin-Voigt type thermo-visco-elastic, infinite thermally conducting medium has been considered in the context of a new consideration of heat conduction having a non-local fractional order due to the presence of periodically varying heat sources. Three-phase-lag thermoelastic model, Green Naghdi models II and III (i.e., the models which predicts the...
متن کاملDynamic response determination of viscoelastic annular plates using FSDT – perturbation approach
In this paper, the transient response of a viscoelastic annular plate which has time-dependent properties is determined mathematically under dynamic transverse load. The axisymmetric conditions are considered in the problem. The viscoelastic properties obey the standard linear solid model in shear and the bulk behavior in elastic. The equations of motion are extracted using Hamilton’s principle...
متن کاملSimultaneous Exact/Approximate Boundary Controllability of Thermo-Elastic Plates with Variable Thermal Coefficient and Moment Control1
Model of Non-homogeneous Problem (3.2) This is given explicitly in [E-L-T.2]. 4. CONSEQUENCE OF THE STRUCTURAL DECOMPOSITION: A STRATEGY FOR THE CONTROLLABILITY PROBLEM 4.0. Preliminaries [L-T.7 Sect. 6] presents a strategy, essentially already used in [LT.3, pp. 119–120], to obtain an exact controllability (surjectivity) result. In the present case of thermo-elastic plates, its applicability i...
متن کاملThe Thermal Relaxation Effect on 2–D Problems of the Generalized Linear Thermo–Viscoelasticity
In this paper we introduced the normal mode analysis for two–dimensional problems of the generalized linear thermo–viscoelasticity with one relaxation time. The exact expressions for the temperature distribution, the displacement components and the stress are obtained. The resulting formulation is applied to three different concrete problems. The first deals with a thick plate subjected to a ti...
متن کامل