Einladung zum Vortrag von Herrn Jun.-Prof. Dr. Amru Hussein am 14. November 2019[14.11.2019]
Im Rahmen des Seminars über mathematische Physik und Funktionalanalysis hält am Donnerstag, den
14. November 2019 um 16:30 Uhr,
Herr Jun.-Prof. Dr. Amru Hussein (TU Kaiserslautern)
einen Vortrag zum Thema
“If time was a graph, how would evolution equations look like? Science fiction, popular science, analysis”.
Der Vortrag findet im Raum E 408, Gebäude 3, statt.
Interessierte sind herzlich eingeladen.
Linear evolution equations are considered usually for the time variable being defined on an interval where initial conditions or time periodicity of solutions are required. Going beyond this, there are different perceptions of time expressed in the multiverse inter- pretation of quantum mechanics or in the discussions on closed timelike curves in general relativity. Here we would like to make a point of allowing time to be defined on a metric graph or network where on the branching points coupling conditions are imposed such that time can have ramifications and even loops. For this setting questions of well-posedness for para- bolic time-graph Cauchy problems are studied. This generalizes the classical setting and admits more freedom in the modeling of coupled and interacting systems of evolution equations. This and the impact of the graph’s geometry is exemplified by discussing possible perceptions of fictional time-travel and by the more real-world case of coupled systems with constraints which are non-local in time akin to periodicity.