Sharp Strichartz estimates for water waves systems

Water waves are well-known to be dispersive at the linearization level. Considering the fully nonlinear systems, we prove for reasonably smooth solutions the optimal Strichartz estimates for pure gravity waves and the semi-classical Strichartz estimates for gravity-capillary waves; for both 2D and 3D waves. Here, by optimal we mean the gains of regularity (over the Sobolev embedding from Sobolev spaces to H\"older spaces) obtained for the linearized systems. Our proofs combine the paradifferential reductions of Alazard-Burq-Zuily with a dispersive estimate using a localized wave package type parametrix of Koch-Tataru.Comment: Some typos fixe

Design of interfering mobile device in the band Wi-Fi with magnetron

The aim of this article is to design an interfering mobile device with a magnetron for the interference in Wi-fi signal in the band 2.4-2.5GHz. Propulsion of the interfering mobile device will be implemented using system of the stepper motor, which will be controlled with the help of the microcontroller ATmega 16. In order to deal with the interfering part, it is necessary to design an inverter 12V/4000V and 50-60Hz. The inverter is a supply of the high-powered vacuum tube that generates microwaves; magnetron. Magnetron is used as a source of electromagnetic interference high-frequency acting on targets, which operates in the band of Wi-Fi signal. For example, waves of high-frequency radio damage on-board electronic devices of the UAV, and by the way, we can disable fly of UAV in demarcated areas. The interfering mobile device will be used as a preparation interference and measurement electromagnetic compatibility of electronic military equipment