Special Session 12: Hyperbolic Partial Differential Equations and Applications
Local existence and uniqueness of the strong solution to the heat and moisture transport system in fibrous porous media
Runmei Du
Changchun University of Technology Peoples Rep of China
Co-Author(s): Ronghua Pan
Abstract:
In this paper, we consider a model coming from textile industries, which can be used to describe the heat and moisture transfer processes in a clothing assembly. The model is a system consisting of two strongly coupled nonlinear parabolic equations in three dimensions, with Robin type boundary conditions. We establish the local existence and uniqueness of the strong solution to the model.