Work

Homogenization of a nonlinear elliptic problem with imperfect rough interface

Year: 2025

Type: article

Abstract: This paper deals with an elliptic problem with a nonlinear lower order term set in an open bounded cylinder of [Formula: see text], [Formula: see text], divided into two connected components by an imperfect rough interface. More precisely, we assume that at the interface the flux is continuous and proportional, via a nonlinear rule, to the jump of the solution. According to the amplitude of the interface oscillations and the proportionality coefficient, we derive different homogenized problems.

Source: Analysis and Applications

DOI: 10.1142/s0219530525500265

Authors: Sara Monsurrò, Carmen Perugia, Federica Raimondi

Institutions: University of Salerno, Istituto Nazionale di Alta Matematica Francesco Severi, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni, University of Sannio

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4409151236

FWCI: 2.425

Cites: 21

Cited by: 5

Related to: 10