Results 81 to 90 of about 174,713,239 (293)
Asymptotic Behavior of Zeros of Solutions for Parabolic Equations
Journal of Differential Equations, 2001 The paper deals with the Cauchy problem \[ u_t=u_{xx}+\alpha|u|^{p-1}u\quad\text{in} {\mathbb{R}}\times(0,T),\qquad u(x,0)=\varphi(x)\quad\text{in} {\mathbb{R}}, \] where \(\varphi\in L^\infty({\mathbb{R}})\cap L^1({\mathbb{R}})\) changes its sign finitely many times, \(p>1\) and \(\alpha\geq 0.\) Defining the set of zeros of a solution \(u\) by \(Z(t)=
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Learning Work Function via Implicit Reasoning on Electrostatic Potential Landscapes
Advanced Science, EarlyView.StructPot‐CLR establishes a cross‐modal contrastive learning framework that aligns the crystal structures of 2D materials with plane‐averaged electrostatic potential landscapes for physically informed work‐function prediction. The model achieves an MAE of 0.265 eV and an R2 of 0.902 on the held‐out test set while accurately preserving key morphological
Haoyu Wan, Yue Wu, Tianhao Su, Deng Pan
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Electronic Journal of Differential EquationsIn this article, we study the complicated asymptotic behavior of doubly nonlinear diffusion equations in unbounded spaces. We find a workspace in which is unbounded and can exhibit complicated asymptotic behavior of the solution to the Cauchy problem. To
Can Lu +3 more
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Advanced Science, EarlyView.A nuclear‐pore‐inspired nested dual‐loop architecture redistributes electromagnetic energy through coupled transport, confinement, and dissipation pathways. Integrated with Co/Fe3O4 dual‐magnetic composites and topology optimization, the 11‐mm‐thick absorber delivers continuous 2–40 GHz attenuation, raises finite‐band structural utilization to 82%, and
Shaokang Liu +6 more
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Asymptotic Behavior of Solutions of Coagulation-Fragmentation Models
, 1997 Friedman, A.; Reitich, F.. (1997). Asymptotic Behavior of Solutions of Coagulation-Fragmentation Models.
Friedman, A., Reitich, F.
core
Advanced Science, EarlyView.IL‐1β upregulates the protein level of WTAP, which promotes the m6A modification of ACSL4 mRNA in an IGF2BP2‐dependent manner, thereby enhancing its stability. The increased ACSL4 drives lipid peroxidation, leading to lysosomal membrane permeabilization (LMP) and impaired mitophagy, which collectively accelerate intervertebral disc degeneration (IVDD).
Shu Jia +8 more
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Electronic Journal of Differential Equations, 2014 In this article we study the asymptotic behavior of solutions to nonlinear second-order differential equations having perturbations that involve Caputo's derivatives of several fractional orders.
Eva Brestovanska, Milan Medved
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On a Second-Order Difference Equation with Two Periodic Coefficients
AxiomsThis work focuses on a class of nonlinear second-order difference equations with non-autonomous periodic coefficients. We obtain explicit solution formulas that allow for a constructive characterization of their behavior.
Lama Sh. Aljoufi +2 more
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Advanced Science, EarlyView.The protein aggregates and gene expression in the middle temporal gyrus (MTG) and somatosensory cortex (SOM) of the postmortem brains of 13 Alzheimer's disease patients were studied in detail, revealing that small hyperphosphorylated tau aggregates increase with Braak stage driven by microglial inflammation.
Elizabeth A. English +9 more
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ASYMPTOTIC BEHAVIOR OF NONOSCILLATORY SOLUTIONS OF FOURTH ORDER LINEAR DIFFERENTIAL EQUATIONS
Selecciones Matemáticas, 2016 This article deals with the asymptotic behavior of nonoscillatory solutions of fourth order linear differential equation where the coefficients are perturbations of linear constant coefficient equation. We define a change of variable and deduce that the
Aníbal Coronel +2 more
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