Abstract In this paper, we consider the problem of identifying a single moving point source for three-dimensional wave equation from boundary measurements. Precisely, show that knowledge field generated by at six different points over finite time interval is sufficient to determine uniquely its trajectory. We also derive Lipschitz stability estimate inversion.

In this paper, we consider boundary stabilization problem of heat equation with multi-point source. Firstly, a state feedback controller is designed mainly by backstepping approach. Under the controller, exponential stability closed-loop system guaranteed. Then, an observer-based output proposed. We prove resulting using operator semigroup theory. Finally, and controllers are effective via some...

The heat transfer for a non-Newtonian power-law fluid over a moving surface is investigated by applying a uniform suction/injection velocity profile. The flow is influenced by internal heat generation/absorption. The energy equation is solved at constant surface temperature condition. The Merk-Chao series is applied to obtain a set of ODEs instead of a complicated PDE. The converted ordinary diffe...

Original scientific paper Analysis of heat source shape is important for comprehending Submerged Arc Welding Process. Here an attempt is made to investigate into the analytical solution of the thermal field related to a high deposition rate based process like SAW. It is assumed that a moving heat source follows Gaussian distribution. The realistic assumptions of the shape parameters are made to...