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Thermoelastic Plates

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Von Karman Evolution Equations

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Abstract

In this chapter we study well-posedness and regularity issues associated with thermoelastic plates. The PDE model of thermoelasticity consists of coupled second-order (plate) and first-order (heat) equations. For this reason, treatment of thermoelastic models does not follow from the corresponding treatment of abstract second-order equations. A new functional framework needs to be developed.

In this chapter we undertake a study of solutions associated with von Karman evolution equations subject to thermal dissipation. We consider models with and without the rotational inertia terms.

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Authors and Affiliations

  1. Department of Mechanics & Mathematics, Kharkov National University, 61077, Kharkov, Ukraine

    Igor Chueshov

  2. Department of Mathematics, University of Virginia, Charlottesville, Virginia, 22904, USA

    Irena Lasiecka

Authors
  1. Igor Chueshov
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  2. Irena Lasiecka
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Correspondence to Igor Chueshov .

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Chueshov, I., Lasiecka, I. (2010). Thermoelastic Plates. In: Von Karman Evolution Equations. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-87712-9_5

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