Results 41 to 50 of about 325,285 (279)
Abstract and Applied Analysis, 2014 We discuss the global and blow-up solutions of the following nonlinear parabolic problems with a gradient term under Robin boundary conditions: (b(u))t=∇·(h(t)k(x)a(u)∇u)+f(x,u,|∇u|2,t), in D×(0,T), (∂u/∂n)+γu=0, on ∂D×(0,T), u(x,0)=u0(x)>0, in D¯, where
Lingling Zhang, Hui Wang
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Large solutions of a class of degenerate equations associated with infinity Laplacian
Advanced Nonlinear Studies, 2022 In this article, we investigate the boundary blow-up problem Δ∞hu=f(x,u),inΩ,u=∞,on∂Ω,\left\{\begin{array}{ll}{\Delta }_{\infty }^{h}u=f\left(x,u),& {\rm{in}}\hspace{0.33em}\Omega ,\\ u=\infty ,& {\rm{on}}\hspace{0.33em}\partial \Omega ,\end{array}\right.
Li Cuicui, Liu Fang
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On a Finite Differnce Scheme For Blow Up Solutions For The Chipot-Weissler Equation [PDF]
, 2015 In this paper, we are interested in the numerical analysis of blow up for the Chipot-Weissler equation with Dirichlet boundary conditions in bounded domain.
Hani, Houda, Khenissi, Moez
core
Deciphering Small Molecule Diffusion Parameters Across Light Responsive Polymersome Membranes
Advanced Functional Materials, EarlyView.Light‐responsive polymersomes bearing donor–acceptor Stenhouse adducts (DASAs) enable programmable control over small‐molecule transport across synthetic membranes. By systematically varying DASA density, an optimal functionalization regime is identified that maximizes light‐gated permeability.
Farzina Matubbar +7 more
wiley +1 more source
, 2011 Using mixed analytical and numerical methods we investigate the development of singularities in the heat flow for corotational harmonic maps from the $d$-dimensional sphere to itself for $3\leq d\leq 6$.
+12 more
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Advanced Functional Materials, EarlyView.Atomically engineered layered 2D Ti3CNTz carbonitride MXene exhibits ultrahigh heat and pressure sensitivity, enabling dual‐mode sensors with 300%–400% performance enhancement and durability for real‐time health‐monitoring interface devices. Precise nitrogen incorporation (e.g., Ti3C1.8N0.2Tz) boosts conductivity, enhancing temperature response, while ...
Debananda Mohapatra +12 more
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Blow up for the critical gKdV equation II: minimal mass dynamics
, 2014 We fully revisit the near soliton dynamics for the mass critical (gKdV) equation. In Part I, for a class of initial data close to the soliton, we prove that only three scenario can occur: (BLOW UP) the solution blows up in finite time $T$ in a ...
Martel, Yvan +2 more
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Adaptive Hydrogels With Spatiotemporal Stiffening Using pH‐Modulating Enzymes
Advanced Functional Materials, EarlyView.The chemomechanical coupling in an adaptive hydrogel is studied to further the development of adaptive hydrogels. This coupling is achieved by embedding a pH‐modulating enzyme in a pH‐responsive hydrogel. The enzymatic reaction can be triggered locally, which generates a pH‐decreasing wave throughout the system, increasing the crosslinking density and ...
Natascha Gray +3 more
wiley +1 more source
A solution to the blow-up problem in adaptive controllers [PDF]
Modeling, Identification and Control, 1985 This paper addresses the blow-up problem associated with the parameter estimation part of an adaptive controller. A partial solution to the problem has been devised by the introduction of a variable forgetting factor. However, this does not eliminate the
Steinar Sælid +2 more
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Speckle‐Engineered Upconversion Amplification in Nanoemulsion‐Templated Hydrogel Microdomes
Advanced Functional Materials, EarlyView.Nanoemulsion‐confined PEGDA microdomes generate speckle‐like excitation fields that strongly amplify upconversion luminescence upon dehydration, enabling filter‐free visible readout with reversible on–off switching. DMD‐based lithography yields scalable, shape‐programmable arrays for moisture‐responsive displays and optical encryption.
Chaeyeong Ryu +13 more
wiley +1 more source