Advances in Differential Equations

Exact boundary controllability in thermoelasticity with memory

Jaime E. Muñoz Rivera and Maria Grazia Naso

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Abstract

A thermoelastic system with the Gurtin-Pipkin model for heat conduction is considered. If the control time is large enough, under suitable conditions on the thermal conductivity kernel, exact controllability with boundary controls is established for both the displacement and the temperature.

Article information

Source
Adv. Differential Equations Volume 8, Number 4 (2003), 471-490.

Dates
First available in Project Euclid: 19 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355926850

Mathematical Reviews number (MathSciNet)
MR1972597

Zentralblatt MATH identifier
1041.93007

Subjects
Primary: 93B05: Controllability
Secondary: 35R10: Partial functional-differential equations 45K05: Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20] 74F05: Thermal effects 74M05: Control, switches and devices ("smart materials") [See also 93Cxx]

Citation

Muñoz Rivera, Jaime E.; Naso, Maria Grazia. Exact boundary controllability in thermoelasticity with memory. Adv. Differential Equations 8 (2003), no. 4, 471--490. https://projecteuclid.org/euclid.ade/1355926850.


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