Results 41 to 50 of about 302 (211)
This article shows Carleman estimate and null controllability of a cascade control system governed by the semilinear degenerate parabolic equations with the general convection terms.
Jianing Xu, Chunpeng Wang, Yuanyuan Nie
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Almost Periodicity and Degenerate Parabolic Equations
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In this work, diamonds with negative charged silicon‐vacancy (SiV−) centers have been designed for use as thermometers in biomedical applications. Multiparametric analysis of the emission characteristics of the SiV− centers provides extraordinary sensitivity for temperature detection in the physiological temperature range.
María Gragera +6 more
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Null controllability of a coupled system of degenerate parabolic equations with lower order terms
This article concerns the null controllability of a control system governed by coupled degenerate parabolic equations with lower order terms. For these equations, the convection terms cannot be controlled by the diffusion terms.
Jianing Xu, Qian Zhou, Yuanyuan Nie
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Multidimensional Cellular Micro‐Compartments to Model Invasive Lobular Carcinoma Dormancy
Invasive lobular carcinoma (ILC) is an understudied subtype of breast cancer that is susceptible to late recurrences. In this study, micro‐compartmentalization techniques spanning multiple dimensions, including 2D, pseudo‐3D, and 3D, are integrated to uncover the mechanisms underlying ILC dormancy, revealing the central role of p27Kip1.
Xilal Y. Rima +15 more
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Stability of Medicinal Nanoemulsions to Spaceflight: Insights From the StarMed Experiment
Chitosan‐coated melatonin nanoemulsions (MN) recovered from a sounding rocket mission preserve droplet size and controlled‐release behavior, whereas uncoated nanoemulsions show ageing‐driven droplet growth and increased accessible drug fraction. Simple polymer coatings thus enhance the flight resilience of liquid space medicines under cumulative launch
Modupe Adebowale +4 more
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The cauchy problem of a degenerate parabolic equation
This note is concerned with the existence of a weak solution for a degenerate Cauchy problem of parabolic type in then-dimensional spaceRn. The degenerate property is in the sense that the matrix (aij(t,x)) involved in the differential operator is not necessarily positive definite.
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On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation [PDF]
By Oleinik′s line method, we study the existence and the uniqueness of the classical solution of the Cauchy problem for the following equation in [0, T] × R2: ∂xxu + u∂yu − ∂tu = f(⋅, u), provided that T is suitable small. Results of numerical experiments are reported to demonstrate that the strong solutions of the above equation may blow up in ...
Zongqi Liang, Huashui Zhan
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Directional Flow of Confined Polaritons in CrSBr
CrSBr, a layered magnetic semiconductor, naturally channels self‐hybridized excitonpolaritons into highly directional flow. Its intrinsic optical anisotropy, high refractive index, and strong lightmatter coupling enable long‐range guided modes along the a‐axis, with propagation lengths set by their excitonphoton admixture.
Pratap Chandra Adak +10 more
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Gate‐Tunable Floquet Weyl Photon Emission from Topological Dirac Semimetal Cd3As2
We report experimental demonstration of Floquet band engineering in a 3D Dirac semimetal. Circularly polarized light breaks the time reversal symmetry and transforms Cd3As2 into a Floquet–Weyl phase, splitting Dirac nodes into chirality‐opposite Weyl nodes with nonzero Berry curvature.
Sobhan Subhra Mishra +4 more
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