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In this paper, we establish the discreteness of transmission eigenvalues for Maxwell's equations. More precisely, we show that the spectrum of the transmission eigenvalue problem is discrete, if the electromagnetic parameters $\eps, , \mu, , \heps, , \h ...
We study the nonlinear evolution of the axisymmetric centrifugal instability developing on a columnar anticyclone with a Gaussian angular velocity using a semilinear approach. The model consists of two coupled equations: one for the linear evolution of the ...
Gravity currents are buoyancy-driven flows having a significant impact on the environment and human life. They can be observed in a vast range of natural and anthropogenic scenarios, such as seawater and freshwater, the atmosphere, or industrial processes. ...
This report serves two purposes. The first is to introduce the linear Kalman filter and the unscented Kalman filter to readers who are unfamiliar with either or both. To this end, it contains an extensive explanation of these methods, including all equatio ...
Adhesion between two bodies is a key parameter in wear processes. At the macroscale, strong adhesive bonds are known to lead to high wear rates, as observed in clean metal-on-metal contact. Reducing the strength of the interfacial adhesion is then desirabl ...
This manuscript discusses discretization of the Vlasov-Poisson system in 2D+2V phase space using high-order accurate conservative finite difference algorithms. One challenge confronting direct kinetic simulation is the significant computational cost associ ...
Tip Vortex Cavitation (TVC) is a major issue in design and operation of axial hydraulic machines. We investigate the capacity of a flexible trailing thread in alleviating TVC by analyzing the flow-induced motion. For this purpose, a nylon thread with three ...
This paper proposes a swirling actuator that utilizes the electromagnetic radial force and a swirling gear to generate rotational torque. This actuator converts the swirling motion to the rotational motion and is suitable for low-speed high-torque applicat ...
Understanding the turbulent dynamics of the plasma in the periphery of fusion devices - the region extending from the external part of the closed flux surface region to the scrape-off layer - is of crucial importance on the way to fusion energy. Indeed, th ...
In recent years, many approaches to visual-inertial odometry (VIO) have become available. However, they neither exploit the robot's dynamics and known actuation inputs, nor differentiate between the desired motion due to actuation and the unwanted perturba ...
