Special Session 27: Mathematical problems in economics, materials and life science: Analysis and simulation of nonlinear multiscale dynamics
Contents
It is very important to have various collaborations between several companies or regions or countries in order to make their production systems effectively progressive. In this talk we propose a regional economic growth model of two regions having a technological collaboration in which two regions provide their respective great fortes to cultivate a common knowledge-field. Each region selects some technologies obtained in the common knowlege-field and makes use of them to progress in the production. Of course, the technological cooperation is maintained by the investiments from both regions whose ammounts depend on their (unknown) economic growth. In this point one can find a quasi-variational structure of the problem.
Our model consists of two parabolic PDEs describing the economic growth under a mutual help system in both regions and a parabolic quasi-variational inclusion of the unknown-dependent subdifferentials describing the cultivation of knowledge-field. In this talk an existence result is given.