A Galerkin Finite Element Method for a Nonlocal Parabolic System with Nonlinear Boundary Conditions Arising from the Thermal Explosion Theory

A Galerkin Finite Element Method for a Nonlocal Parabolic System with Nonlinear Boundary Conditions Arising from the Thermal Explosion Theory

In this paper, we discuss a class of nonlocal parabolic systems with nonlinear boundary conditions arising from the thermal explosion theory. First, we prove the local existence and uniqueness of the classical solution using the Leray–Schauder fixed-point theorem. Then, we analyze three Galerkin app...

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Bibliographic Details
Main Authors: Qipeng Guo, Yu Zhang, Baoqiang Yan
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Mathematics
Subjects:
Galerkin finite element method
nonlocal parabolic system
fixed-point theorem
nonlinear boundary conditions
uniqueness
error estimate
Online Access:https://www.mdpi.com/2227-7390/13/5/861
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