Uniqueness of solutions to a mathematical model describing moisture transport in concrete materials
Toyohiko Aiki, Kota Kumazaki · Networks and Heterogeneous Media · 2014
When dealing with concrete materials it is always a big issue how to deal withthe moisture transport. Here, we consider a mathematical model for moisturetransport, which is given as a system consisting of the diffusion equation for moisture andof the ordinary differential equation which describes a hysteresis operator.In [3] we already proved the existence of a time global solution of an initial boundaryvalue problem of this system, however, the uniqueness is obtained only for one dimensional domains.The main purpose of this paper is to establish the uniqueness of a solution of our problem inthree dimensional domainsunder the assumption of the smooth boundary and initial data.