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This article studies the Cauchy problem for systems of semi-linear wave equations on R3+1 with nonlinear terms satisfying the null conditions. We construct future global-in-time classical solutions with arbitrarily large initial energy. The choice of the l ...
This chapter presents a dataset of 1,725 historical video games released between 1981 and 2015, with a particular focus on the distribution of these games across platforms, genres, and historical eras over time. The same importance is given in this large-s ...
Traditional sampling involves encoding a signal through (time, value)-pairs. In contrast, time encoding machines (TEMs) characterize a signal by recording time points which depend on the integral of the signal over time. We study multi-channel TEMs where c ...
While it is well known that constant rotation induces linear dispersive effects in various fluid models, we study here its effect on long time nonlinear dynamics in the inviscid setting. More precisely, we investigate stability in the 3d rotating Euler equ ...
Cells in the body collectively sustain mechanical deformations in almost all physiological functions. From the morphogenesis stage, cells' ability to sustain stress is essential for the body's well-being. Several pathologies have been associated with abnor ...
We consider the Gross-Pitaevskii equation describing a dipolar Bose-Einstein condensate without external confinement. We first consider the unstable regime, where the nonlocal nonlinearityis neither positive nor radially symmetric and standing states are k ...
In this paper we describe our approach to teaching applied digital signal processing (DSP) using freely-available software and inexpensive off-the-shelf hardware components. The pedagogical framework is built around simple real-time audio processing algori ...
Phase measurement has been a topic of increasingly important interest to researchers active in optical metrology to an extent that substantial advances in the area have been reported over the past three decades. However, these developments have been largel ...
In a recent work we constructed future-global-in-time large solution to the Cauchy problem for semi-linear wave equation on R3+1 with nonlinear terms satisfying the null conditions. In this article we show that the method also applies to energy-supercritic ...
Due to its limited regeneration capacity, articular cartilage defects are considered a frequent
clinical problem. Initial cartilage defects, if left untreated, will progress in severity over
time and can eventually lead to degenerative joint diseases such ...
