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article · Boletim da Sociedade Paranaense de Matemática

Limit study of an input stability problem on nanolayer

2025Open accessMohamed I University

Abstract

This paper aims to discuss a stabilization problem for semilinear systems and to study the asymptotic behavior of a distributed system on an evolution domain, in a containing structure, of a nanolayer. The epi-convergence method is considered to find the limit problem with interface conditions; this approach studies the stability of the approximate problem associated with our initial problem. After that, we study the limit behavior. The received results are tested numerically.

Research topics

  • Stability and Controllability of Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Advanced Numerical Methods in Computational Mathematics

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DOI: 10.5269/bspm.65738

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