Előadó: Karátson János
Időpont és hely: 2015. 11. 04., 16:03, H306
A large number of time-dependent real-life phenomena can be modelled mathematically by parabolic partial differential equations. It is a natural requirement that such models possess some characteristic qualitative properties of the original process. For parabolic problems the main qualitative properties are the maximum-minimum principles, nonnegativity-nonpositivity preservation and maximum norm contractivity, Without them, the model might produce unphysical quantities that contradict reality. We characterize various implications between these qualitative properties, and we give general sufficient conditions to ensure them (both
separately and all of them together). The relations are illustrated with several examples.