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LONG TIME BEHAVIOR OF SOLUTIONS OF AN ELECTROCONVECTION MODEL

https://sites.temple.edu/ignatova/files/2024/08/abig5.pdf

ABSTRACT. We consider a two dimensional electroconvection model which consists of a nonlinear and nonlocal system coupling the evolutions of a charge distribution and a fluid. We show that the solutions decay in time in L2(R2) at the same sharp rate as the linear uncoupled system. This is achieved by proving that the difference between the nonlinear and linear evolution decays at a faster rate ...

Detecting, Localizing, and Tracking an Unknown Number of Moving Targets ...

https://sites.temple.edu/pdames/files/2016/07/DamesTokekarKumarISRR2015.pdf

Abstract Target tracking is a fundamental problem in robotics research and has been the subject of detailed studies over the years. In this paper, we introduce a new formulation, based on the mathematical concept of random finite sets, that allows for tracking an unknown and dynamic number of mobile targets with a team of robots. We show how to employ the Probability Hypothesis Density filter ...