More Like this

1. Derivative estimates for screened Vlasov-Poisson system around Penrose-stable equilibria

   https://doi.org/10.3934/krm.2020043  

   T. Nguyen, Trinh (January 2020, Kinetic & Related Models)

   null (Ed.)
2. Well-posedness and derivative blow-up for a dispersionless regularized shallow water system

   https://doi.org/10.1088/1361-6544/ab2cf1  

   Liu, Jian-Guo; Pego, Robert L; Pu, Yue (November 2019, Nonlinearity)
3. Observability Analysis of a Power System Stochastic Dynamic Model Using a Derivative-Free Approach

   https://doi.org/10.1109/TPWRS.2021.3079919  

   Zheng, Zongsheng; Xu, Yijun; Mili, Lamine; Liu, Zhigang; Korkali, Mert; Wang, Yuhong (November 2021, IEEE Transactions on Power Systems)
4. Perovskite‐Derivative Valleytronics

   https://doi.org/10.1002/adma.202004111  

   Liang, Jia; Fang, Qiyi; Wang, Hua; Xu, Rui; Jia, Shuai; Guan, Yuxuan; Ai, Qing; Gao, Guanhui; Guo, Hua; Shen, Kaijun; et al (October 2020, Advanced Materials)

   Abstract Halide perovskites are revolutionizing the renewable energy sector owing to their high photovoltaic efficiency, low manufacturing cost, and flexibility. Their remarkable mobility and long carrier lifetime are also valuable for information technology, but fundamental challenges like poor stability under an electric field prevent realistic applications of halide perovskites in electronics. Here, it is discovered that valleytronics is a promising route to leverage the advantages of halide perovskites and derivatives for information storage and processing. The synthesized all‐inorganic lead‐free perovskite derivative, Cs₃Bi₂I₉, exhibits strong light–matter interaction and parity‐dependent optically addressable valley degree of freedom. Robust optical helicity in all odd‐layer‐number crystals with inversion symmetry breaking is observed, indicating excitonic coherence extending well beyond 11 layers. The excellent optical and valley properties of Cs₃Bi₂I₉arise from the unique parallel bands, according to first principles calculations. This discovery points to new materials design principles for scalable valleytronic devices and demonstrates the promise of perovskite derivatives beyond energy applications. 

   more » « less
5. Large-Data Equicontinuity for the Derivative NLS

   https://doi.org/10.1093/imrn/rnab374  

   Harrop-Griffiths, Benjamin; Killip, Rowan; Vişan, Monica (January 2022, International Mathematics Research Notices)

   Abstract We consider the derivative nonlinear Schrödinger equation in one spatial dimension, which is known to be completely integrable. We prove that the orbits of $L^2$ bounded and equicontinuous sets of initial data remain bounded and equicontinuous, not only under this flow, but also under the entire hierarchy. This allows us to remove the small-data restriction from prior conservation laws and global well-posedness results. 

   more » « less