Work

Homogenization and corrector results for a stochastic coupled thermoelastic model

Year: 2024

Type: article

Abstract: The aim of this research is to explore new homogenization results for a stochastic linear coupled thermoelastic model. We focus on a stochastic equation of motion coupled with a stochastic heat equation, representing the linear thermoelastic behavior of composite anisotropic materials with a periodic heterogeneous structure. These materials are subjected to random external forces and heat sources. By employing the periodic unfolding method and leveraging probabilistic compactness results from Prokhorov and Skorokhod, we obtain homogenization, convergence of the associated stochastic energies, and corrector results.

Source: Discrete and Continuous Dynamical Systems

DOI: 10.3934/dcds.2024168

Authors: Hakima Bessaih, Mogtaba Mohammed, Ismail M. Tayel

Institution: Majmaah University

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405219755

FWCI:

Cites: 22

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Related to: 10