Results 41 to 50 of about 2,444,013 (293)
Points on nodal lines with given direction [PDF]
Journal of Spectral Theory, 2020 We study of the directional distribution function of nodal lines for eigenfunctions of the Laplacian on a planar domain. This quantity counts the number of points where the normal to the nodal line points in a given direction. We give upper bounds for the flat torus, and compute the expected number for arithmetic random waves.
Wigman, Igor, Rudnick, Zeev
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Symmetry of Nodal Solutions for Singularly Perturbed Elliptic Problems on a Ball [PDF]
, 2004 In [40], it was shown that the following singularly perturbed Dirichlet problem \ep^2 \Delta u - u+ |u|^{p-1} u=0, \ \mbox{in} \ \Om,\] \[ u=0 \ \mbox{on} \ \partial \Om has a nodal solution u_\ep which has the least energy among all nodal solutions.
Winter, M +5 more
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Limit Weierstrass points on nodal reducible curves [PDF]
Transactions of the American Mathematical Society, 2007 In the 1980s D. Eisenbud and J. Harris posed the following question: “What are the limits of Weierstrass points in families of curves degenerating to stable curves not of compact type?” In the present article, we give a partial answer to this question.
Esteves, Eduardo, Salehyan, Parham
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Inverse nodal problems for Dirac operators and their numerical approximations
Electronic Journal of Differential Equations, 2023 In this article, we consider an inverse nodal problem of Dirac operators and obtain approximate solution and its convergence based on the second kind Chebyshev wavelet and Bernstein methods.
Fei Song +2 more
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Mathematical Model of Drilling Mud Movement along a Shale Shaker Screen
Advanced Engineering ResearchIntroduction. When drilling oil or gas wells, rock from the bottomhole is brought to the surface by drilling mud, which is cleaned of sludge by shale shakers at the first stage.
I. Yu. Kichkar
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Cumhuriyet Science Journal, 2018 In this study, a formula for regularized sums of eigenvalues and nodalpoints of eigenfunctions for a discontinuous Sturm-Liouville problem with aconstant retarded argument.
Erdoğan Şen
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Targeting the EpCAM‐AXL axis to overcome drug resistance in lung cancer
Molecular Oncology, EarlyView.Lung cancer cells often evade therapy by hijacking signaling pathways. We reveal that cleaved EpCAM (sEpCAM) stabilizes the oncogenic protein AXL, driving NF‐κB and STAT3‐mediated chemoresistance. This EpCAM‐AXL axis identifies a high‐risk patient subset with poor prognosis.
Alexa Guerrero‐Alba +5 more
wiley +1 more source
Loop-Nodal and Point-Nodal Semimetals in Three-Dimensional Honeycomb Lattices [PDF]
Physical Review Letters, 2016 5 pages, 6 ...
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Hydrogel platforms for 3D cardiac tissue engineering and fibrotic disease modelling
FEBS Open Bio, EarlyView.Hydrogel‐based cardiac tissue models are advancing our understanding of heart health and disease. By incorporating electrical conductivity, aligned structures, and tunable mechanical properties, these platforms better replicate the complex environment of native heart tissue.
Harrison Porritt +2 more
wiley +1 more source
Quantum Transport of Disordered Weyl Semimetals at the Nodal Point [PDF]
Physical Review Letters, 2014 Weyl semimetals are paradigmatic topological gapless phases in three dimensions. We here address the effect of disorder on charge transport in Weyl semimetals. For a single Weyl node with energy at the degeneracy point and without interactions, theory predicts the existence of a critical disorder strength beyond which the density of states takes on a ...
Sbierski, Björn +3 more
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