Results 71 to 80 of about 8,875,167 (275)
Electronic Journal of Differential Equations, 2015 In this article, we consider a nonlinear evolution equation for surface waves in shallow water over periodic uneven bottom. The local well-posedness in Sobolev space $H^s(\mathbb{S})$ with $s>3/2$ is established by applying Kato's theory.
Lili Fan, Hongjun Gao
doaj
On the Well-Posedness of the Boussinesq Equation in the Triebel-Lizorkin-Lorentz Spaces
Abstract and Applied Analysis, 2012 We establish the local well-posedness and obtain a blow-up criterion of smooth solutions for the Boussinesq equations in the framework of Triebel-Lizorkin-Lorentz spaces.
Zhaoyin Xiang, Wei Yan
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Scalable MoS2/Si Photodiode Arrays From Roll‐to‐Roll Mechanical Exfoliation
Advanced Science, EarlyView.A dry roll‐to‐roll route transforms mechanically exfoliated MoS2 flake networks into silicon‐integrated photodiode arrays. The MoS2/Si junctions generate photovoltaic output without applied bias, allowing illuminated pixels to locate light spots and reconstruct simple images.
Yigit Sozen +2 more
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Toward High‐Resolution Polymeric Neural Interfaces: A Practical Guide for Electron Beam Lithography
Advanced Science, EarlyView.Electron beam lithography (EBL) enables sub‐micron patterning of polymer‐based neural implants, overcoming the resolution limits of optical lithography. By addressing challenges such as charging, non‐planarity, and substrate heating, it supports higher channel density, improved miniaturization, and better long‐term tissue integration.
Hanna Karlsson‐Fernberg, Maria Asplund
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On the Cauchy Problem for the b-Family Equations with a Strong Dispersive Term
Journal of Applied Mathematics, 2011 In this paper, we consider b-family equations with a strong dispersive term. First, we present a criterion on blow-up. Then global existence and persistence property of the solution are also established.
Xuefei Liu, Mingxuan Zhu, Zaihong Jiang
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Existence, regularity and asymptotic analysis for conformable parabolic equations with history-dependent diffusion [PDF]
Mathematics and Computational SciencesThis paper investigates a diffusion equation incorporating memory effects and a conformable fractional derivative. We begin by deriving an explicit representation of the mild solution and analyzing its regularity properties.
Lan Nguyen +3 more
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Advanced Science, EarlyView.Tendon interfascicular and fascicular matrix cells are isolated and cultured, revealing distinct phenotypes and mechanosensitive responses. Interfascicular matrix cells exhibit marked stiffness‐dependent phenotypic plasticity, whereas fascicular matrix cells remain comparatively stable.
S. E. Grossemy +10 more
wiley +1 more source
Blow-up criteria for compressible viscoelastic flows with general pressure laws
Advances in Nonlinear AnalysisWe investigate the blow-up criteria of strong solutions to the Dirichlet and Cauchy problems for the compressible viscoelastic equations with vacuum in two and three dimensions, where a general class of pressure laws without monotonicity constraints is ...
Wang Yong, Yang Jianquan
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Notes on the Global Well-Posedness for the Maxwell-Navier-Stokes System
Abstract and Applied Analysis, 2013 Masmoudi (2010) obtained global well-posedness for 2D Maxwell-Navier-Stokes system. In this paper, we reprove global existence of regular solutions to the 2D system by using energy estimates and Brezis-Gallouet inequality.
Ensil Kang, Jihoon Lee
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Atomistic Kinetics of Dislocation‐Mediated Grain Growth in Monolayer MoS2
Advanced Science, EarlyView.Atomic‐resolution in‐situ heating microscopy directly visualizes dislocation‐mediated grain boundary migration and grain growth in monolayer MoS2. Mobile grain boundaries migrate through collective motion of Mo 5|7 dislocations, whereas S 5|7 defects remain largely immobile.
Chang‐Won Choi +11 more
wiley +1 more source