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    Qualitative properties of two-end solutions to the Allen–Cahn equation in R3 ${\mathbb{R}}^{3}$ by Liang Weizhao, Yang Jianmin

    Published 2025-06-01
    “…A solution of the Allen–Cahn equation in R3 ${\mathbb{R}}^{3}$ is called a two-end solution if its nodal set is asymptotic to (x′,z)∈R3:z=ki⁡ln|x′|+ci,1≤i≤2 $\left\{\left({x}^{\prime },z\right)\in {\mathbb{R}}^{3}:z={k}_{i}\mathrm{ln}\vert {x}^{\prime }\vert +{c}_{i},1\le i\le 2\right\}$ at infinity. …”
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    Generated Surfaces via Inextensible Flows of Curves in R3 by Rawya A. Hussien, Samah G. Mohamed

    Published 2016-01-01
    “…We study the inextensible flows of curves in 3-dimensional Euclidean space R3. The main purpose of this paper is constructing and plotting the surfaces that are generated from the motion of inextensible curves in R3. …”
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    The Existence of Normalized Solutions for a Nonlocal Problem in ℝ3 by Jing Yang

    Published 2020-01-01
    “…In this paper, we study the following fractional Schrödinger equation in ℝ3−Δσu−λu=up−2u, in ℝ3 with σ∈0,1,λ∈ℝ and p∈2+σ,2+4/3σ. …”
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    Existence of Multispike Positive Solutions for a Nonlocal Problem in ℝ3 by Jing Yang, Qiuxiang Bian, Na Zhao

    Published 2020-01-01
    “…In this paper, we study the following nonlinear Choquard equation −ϵ2Δu+Kxu=1/8πϵ2∫ℝ3u2y/x−ydyu,x∈ℝ3, where ϵ>0 and Kx is a positive bounded continuous potential on ℝ3. …”
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    In vitro cytotoxicity of superheated steam hydrolyzed oligo((R)-3-hydroxybutyrate-co-(R)-3-hydroxyhexanoate) and characteristics of its blend with poly(L-lactic acid) for biomaterial applications. by Dhurga Devi Rajaratanam, Hidayah Ariffin, Mohd Ali Hassan, Nik Mohd Afizan Nik Abd Rahman, Haruo Nishida

    Published 2018-01-01
    “…In order to clarify the in vitro cytotoxicity effect of superheated steam (SHS) treated poly((R)-3-hydroxybutyrate-co-(R)-3-hydroxyhexanoate) (PHBHHx) for biomaterial applications, SHS-treated PHBHHx oligoester samples: P(HB-co-6%-HHx) and P(HB-co-11%-HHx) with low and high percentages of unsaturated chain ends were evaluated for their cytotoxicity effects toward the growth of mouse fibroblast cell line NIH 3T3. …”
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    Global dynamics for the generalised chemotaxis-Navier–Stokes system in $\mathbb{R}^3$ by Qingyou He, Ling-Yun Shou, Leyun Wu

    “…We consider the chemotaxis-Navier–Stokes system with generalised fluid dissipation in $\mathbb{R}^3$ : \begin{eqnarray*} \begin{cases} \partial _t n+u\cdot \nabla n=\Delta n- \nabla \cdot (\chi (c)n \nabla c),\\[5pt] \partial _t c+u \cdot \nabla c=\Delta c-nf(c),\\[5pt] \partial _t u +u \cdot \nabla u+\nabla P=-(\!…”
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    Total synthesis of 4-((3S,5R)-3,5- dihydroxynonadecyl)phenol by Krishnaiah Kumari, Subhashini Muvvala, Abdulrhman Alsayari, Annapurna Nowduri, Nalla Somaiah, Abhishek Shankar Saxena

    Published 2025-07-01
    “…This communication describes a short and effective synthetic route for the enantioselective synthesis of 4-((3S,5R)-3,5-dihydroxynonadecyl)phenol. Key steps in this synthesis include the Wittig reaction, Barbier allylation, and Sharpless dihydroxylation.…”
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    Bifurcation analysis of fractional Kirchhoff–Schrödinger–Poisson systems in $\mathbb R^3$ by Linlin Wang, Yuming Xing

    Published 2024-01-01
    “…In this paper, we investigate the bifurcation results of the fractional Kirchhoff–Schrödinger–Poisson system \begin{equation*} \begin{cases} M([u]_s^2)(-\Delta)^s u+V(x)u+\phi(x) u=\lambda g(x)|u|^{p-1}u+|u|^{2_s^*-2}u~~&{\rm in}~\mathbb{R}^3, \\ (-\Delta)^t \phi(x)=u^2~~&{\rm in}~\mathbb{R}^3, \end{cases} \end{equation*} where $s,t\in(0,1)$ with $2t+4s>3$ and the potential function $V$ is a continuous function. …”
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    Optimization of High-density Culture Process of Lacticaseibacillus paracasei Lp.R3 by Shihui FANG, Yao XIONG, Zhao ZHANG, Junfang LIN, Tao CHEN, Liqiong GUO

    Published 2025-05-01
    “…Lacticaseibacillus paracasei Lp.R3 is a probiotic strain with excellent functions. …”
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    Evaluation of salt tolerance in hybrid progeny of apple rootstock Malus prunifolia × R3 by JIAO Caidi, WEI Jiangtong, JIA Xumei, LI Cuiying, LI Chao, MA Fengwang

    Published 2025-05-01
    “…In this study, the salt tolerance of the hybrid offspring of Malus prunifolia × R3 was evaluated and its salt tolerance was comprehensively analyzed. …”
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    Whole space case for solution formula of Korteweg type fluid motion in R3 by Bagus Suhada Dede, Maryani Sri, Renny Renny, Triyani Triyani, Hendriya Guswanto Bambang, Kartiwi Mira

    Published 2025-01-01
    “…In this paper we consider the solution formula of linearized diffusive capillary model of Korteweg type without surface tension in three-dimensional Euclidean space ℝ3 using Fourier transform. Firstly, we construct the matrix of differential operators from the model problem. …”
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    RMS-R3 – the system for monitoring the region of interactions and background at the LHCB experiment (CERN) by S. B. Chernyshenko, V. M. Dobishuk, O. Yu. Okhrimenko, F. Alessio, H. Schindler, V. O. Kyva, V. M. Pugatch, G. Corti

    Published 2023-06-01
    “…To ensure the safe operation of the experiment, a new beam and background Radiation Monitoring System (RMS-R3) was built. RMS-R3 is based on metal-foil detector technology developed at the Institute for Nuclear Research, National Academy of Sciences of Ukraine (Kyiv, Ukraine). …”
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    Interdisciplinarity at the nexus of biomedical science training: The R3 Center for Innovation in Science Education by Ilinca I. Ciubotariu, Tamaki Kobayashi, Crystal J. Neely, Daniel Fiifi Tawia Hagan, David Ewusi-Mensah, David Van Vactor, Elizabeth C. Whipple, Emma Camacho, Gautam Ghosh, Heather M. Lamb, Isaac Owusu-Frimpong, James Alltop, Julia D. Romano, Kristen Kelly, Lindsay Smith Rogers, Lymari Morales, Matthew Seibel, Roshni Rao, Soumia Bekka, William T. Mills, IV, Arturo Casadevall, Gundula Bosch

    Published 2025-06-01
    “…The R3 Center for Innovation in Science Education (R3ISE), established at Johns Hopkins Bloomberg School of Public Health, addresses critical gaps in scientific education by instilling the core values of rigorous research, reproducible methods, and scientific responsibility in our students. …”
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