HOMOGENIZATION OF A PROBLEM FOR AN ELLIPTIC EQUATION WITH A MICROPERIODIC COEFFICIENT CONTINUOUSLY DIFFERENTIABLE BY PARTS AND SUBJECT TO DISCONTINUITY CONDITIONS

HOMOGENIZATION OF A PROBLEM FOR AN ELLIPTIC EQUATION WITH A MICROPERIODIC COEFFICIENT CONTINUOUSLY DIFFERENTIABLE BY PARTS AND SUBJECT TO DISCONTINUITY CONDITIONS

Authors

  • Arthur Emanoel Reis Andrade Universidade Federal de Sergipe
  • Fabio Carlos da Rocha Universidade Federal de Sergipe
  • Leslie Pérez-Fernandez UFPel
  • Julián Bravo Castillero Universidad Nacional Autónoma de México

DOI:

https://doi.org/10.34179/revisem.v9i2.19996

Abstract

It is described the application of the asymptotic homogenization method to a boundary-value problem for an elliptic equation with rapidly oscillating twice piecewise differentiable coefficient and discontinuity conditions, and the resulting formal asymptotic solution which approximates the generalized solution of the problem.

Keywords: Asymptotic homogenization method, Formal asymptotic solution, Homogenized problem, Local problem, Effective coefficient.

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Published

2024-09-04

How to Cite

Reis Andrade, A. E., da Rocha, F. C., Pérez-Fernandez, L., & Bravo Castillero, J. (2024). HOMOGENIZATION OF A PROBLEM FOR AN ELLIPTIC EQUATION WITH A MICROPERIODIC COEFFICIENT CONTINUOUSLY DIFFERENTIABLE BY PARTS AND SUBJECT TO DISCONTINUITY CONDITIONS. Revista Sergipana De Matemática E Educação Matemática, 9(2), 103–118. https://doi.org/10.34179/revisem.v9i2.19996

Issue

Vol. 9 No. 2 (2024): Revista Sergipana de Matemática e Educação Matemática

Section

Mathematics

License

Copyright (c) 2024 Arthur Emanoel Reis Andrade, Fabio Carlos da Rocha, Leslie Darien Pérez Fernández, Julián Bravo Castillero

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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