Mathematical Sciences: Semilinear Parabolic Systems and Reaction Transport Problems

本课题研究半线性抛物型偏微分方程组解的存在性和定性行为问题。特别是，波浪和其他空间模式的发展将被研究。在包含输运过程的化学反应的数学模型中，这里考虑的这类方程组经常出现。此外，在群体生物学、电化学系统和燃烧理论中也有应用。

This project concerns questions of existence and qualitative behavior of solutions of systems of semilinear parabolic partial differential equations. In particular, the development of waves and other spatial patterns will be investigated. Systems of equations of the type considered here arise frequently in the mathematical modelling of chemical reactions incorporating transport processes. Also, applications may be found in population biology, electrochemical systems and combustion theory.