Challenges of the optimization of a high-speed induction machine for naval applications †

open10siopenButicchi G.; Gerada D.; Alberti L.; Galea M.; Wheeler P.; Bozhko S.; Peresada S.; Zhang H.; Zhang C.; Gerada C.Buticchi, G.; Gerada, D.; Alberti, L.; Galea, M.; Wheeler, P.; Bozhko, S.; Peresada, S.; Zhang, H.; Zhang, C.; Gerada, C

Resources required for exact remote state preparation

It has been shown [M.-Y. Ye, Y.-S. Zhang, and G.-C. Guo, Phys. Rev. A 69, 022310 (2004)] that it is possible to perform exactly faithful remote state preparation using finite classical communication and any entangled state with maximal Schmidt number. Here we give an explicit procedure for performing this remote state preparation. We show that the classical communication required for this scheme is close to optimal for remote state preparation schemes of this type. In addition we prove that it is necessary that the resource state have maximal Schmidt number.Comment: 7 pages, 1 figur

Regularity Criterion to the axially symmetric Navier-Stokes Equations

Smooth solutions to the axially symmetric Navier-Stokes equations obey the following maximum principle:$\|ru_\theta(r,z,t)\|_{L^\infty}\leq\|ru_\theta(r,z,0)\|_{L^\infty}.$ We first prove the global regularity of solutions if $\|ru_\theta(r,z,0)\|_{L^\infty}$ or $\|ru_\theta(r,z,t)\|_{L^\infty(r\leq r_0)}$ is small compared with certain dimensionless quantity of the initial data. This result improves the one in Zhen Lei and Qi S. Zhang \cite{1}. As a corollary, we also prove the global regularity under the assumption that $|ru_\theta(r,z,t)|\leq\ |\ln r|^{-3/2},\ \ \forall\ 0<r\leq\delta_0\in(0,1/2).$Comment: 13 pages, 0 figure

HiPSC-derived cardiac tissue for disease modeling and drug discovery

Li, J.; Hua, Y.; Miyagawa, S.; Zhang, J.; Li, L.; Liu, L.; Sawa, Y. hiPSC-Derived Cardiac Tissue for Disease Modeling and Drug Discovery. Int. J. Mol. Sci. 2020, 21, 8893

The critical Fujita number for a semilinear heat equation in exterior domains with homogeneous Neumann boundary values

This article is published as Levine, H. A., and Q. S. Zhang. "The critical Fujita number for a semilinear heat equation in exterior domains with homogeneous Neumann boundary values." Proceedings of the Royal Society of Edinburgh Section A: Mathematics 130, no. 3 (2000): 591-602. DOI: 10.1017/S0308210500000317. Posted with permission.</p