Results 131 to 140 of about 9,221,506 (354)
Le Matematiche, 2010 In this paper we give a survey of some recent results obtained via symmetrization methods for solutions of elliptic equations in the form A(u) = H(x, u, Du), where the principal term is a laplacian-type operator and H(x, u, Du) grows with respect to Du ...
Vincenzo Ferone
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On blow up of solutions of nonlinear evolution equations [PDF]
, 1988 Philip Korman
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Differential and Integral Equations, 1995 The author of this interesting paper studies the blowing-up properties of solutions to the following initial-boundary value problem: \[ u_t= \Delta u+ u^p,\;t> 0,\;x\in \Omega,\;u(x, 0)= \overline u(x),\;u(x, t)= \phi(x, t),\;x\in \partial\Omega,\tag{1} \] where \(\Omega\) is an open set in \(\mathbb{R}^N\), \(p> 1\) and \(\overline u\), \(\phi\) are ...
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Advanced Materials Interfaces, EarlyView.Rheumatoid arthritis, a chronic inflammatory joint disease, faces limitations with conventional therapies. Dissolving microneedles (DMNs) enable biocompatible, high‐capacity transdermal drug delivery. However, skin elasticity challenges their strength, limiting drug release depth.
Wangrui Peng +4 more
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Global and blow up solutions to cross diffusion systems
Advances in Nonlinear Analysis, 2015 Necessary and sufficient conditions for global existence of classical solutions to a class of cross diffusion systems on n-dimensional domains are given. Examples of blow up solutions are also presented.
Ahmad Shair, Le Dung
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Progress in Flexible Perovskite Solar Cells: Paving the Way for Scalable Manufacturing
Advanced Materials Technologies, EarlyView.Perovskite solar cells (PSCs) are well positioned for a successful market uptake. This is due to an unprecedented improvement of their efficiency and stability since the first report in 2009. In this review paper, the building blocks for the scalable manufacturing and future commercialization of flexible PSCs and their pathway to impact will be ...
Dimitar I. Kutsarov +5 more
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Advanced Materials Technologies, EarlyView.This paper contrasts electrospinning and 3D printing for porous membrane fabrication, evaluating their evolution, cost, resolution, mechanical traits, and scalability. While 3D printing excels in material diversity and industrial adaptability, electrospinning achieves finer resolution and thermal resilience.
Eya Kacem +6 more
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Self‐Sterilizing Face Mask Employing Enzymatic Power Generation
Advanced Materials Technologies, EarlyView.Electric face mask with flexible biofuel cell integration for on‐the‐go sterilization is developed utilizing ethanol oxidation via alcohol dehydrogenase, and oxygen reduction via bilirubin oxidase. Modified face mask exhibited bacterial death rates of 40–60% at only 20 µA of electric current, easily generated by the biofuel cell continuously over hours
Daniella Marie Gatus +3 more
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Controlled Air Gap Formation between W and TiO2 Films via Sub‐Surface TiO2 Atomic Layer Etching
Advanced Materials Technologies, EarlyView.Delivering SiH4 and WF6 to a lined array of TiO2 films produces a thin film of tungsten while simultaneously, the underlying TiO2 is removed. When the W‐coated TiO2 structure is exposed to further etching cycles after deposition, TiO2 etching continues vertically and laterally, creating a self‐supported W structure and a vacant air gap.
Hannah R. M. Margavio +6 more
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The Blow-Up of the Local Energy Solution to the Wave Equation with a Nontrivial Boundary Condition
MathematicsIn this study, we examine the wave equation with a nontrivial boundary condition. The main target of this study is to prove the local-in-time existence and the blow-up in finite time of the energy solution.
Yulong Liu
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