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Continuum Mechanics and Thermodynamics

, Volume 31, Issue 1, pp 331–340 | Cite as

A polynomial way to control the decay of solutions for dipolar bodies

  • Marin MarinEmail author
  • Andreas Öchsner
  • Vicentiu Radulescu
Original Article
  • 10 Downloads

Abstract

In our paper, we consider a combination of two sub-cylinders coupled by an interface in a semi-infinite cylinder. Both sub-cylinders are made of dipolar elastic materials. For one of the two sub-cylinders, we will consider the elastostatic problem, and for the other the elastodynamic problem. Thus, the spatial behaviors of the sub-cylinders are of different kind and the question arises whether the evolution of this combination can be controlled. By using a polynomial way, we prove that the decay of solutions for the two problems can be controlled.

Keywords

Dipolar bodies Elastostatics Elastodynamics Spatial estimates Upper bound Polynomial decay 

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceTransilvania University of BrasovBrasovRomania
  2. 2.Faculty of Mechanical EngineeringEsslingen University of Applied SciencesEsslingenGermany
  3. 3.Faculty of Applied MathematicsAGH University of Science and TechnologyKrakówPoland
  4. 4.Department of MathematicsUniversity of CraiovaCraiovaRomania

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