Mathematical Sciences: Asymptotic Behavior of Functionally Dependent Reaction Diffusion Systems

9404207 Loomis这个项目将使提倡者有机会在休斯顿大学访问期间学习偏微分方程式。具体地说，将研究分量依赖于非线性项的方程组的适定性、逼近和长时间行为。这些系统出现在各种物理和生物环境中，并提出了许多具有挑战性的问题。有关功能依赖的反应扩散系统的工作很少出现在文献中。该项目将解决在对非线性的历史依赖性和解决方案组件的非负性的持久性进行建模时出现的问题。***

9404207 Loomis This project will give the proposer the opportunity to study partial differential equations while visiting at the University of Houston. Specifically, the well-posedness, approximation and long time behavior of systems of equations whose components are dependent on nonlinear terms will be investigated. These systems arise in a variety of physical and biological contexts and present many challenging questions. Little work concerning functionally dependent reaction diffusion systems appears in the liturature. The project will address problems arising in the modeling of the historical dependence of the nonlinearity and the persistence of nonnegativity of solution components. ***