English

A nonlinear transmission problem for a compound plate with thermoelastic part

Dynamical Systems 2010-03-18 v1 Analysis of PDEs

Abstract

In this paper we study a nonlinear transmission problem for a plate which consists of thermoelastic and isothermal parts. The problem generates a dynamical system in a suitable Hilbert space. Main result is the proof of the asymptotic smoothness of this dynamical system. Also we prove the existence of a compact global attractor in particular cases when the nonlinearity is of Berger type or scalar.

Keywords

Cite

@article{arxiv.1003.3332,
  title  = {A nonlinear transmission problem for a compound plate with thermoelastic part},
  author = {Mykhailo Potomkin},
  journal= {arXiv preprint arXiv:1003.3332},
  year   = {2010}
}

Comments

23 pages

R2 v1 2026-06-21T14:58:50.186Z