Results 21 to 30 of about 50,164 (254)
Total blow-up of a quasilinear heat equation with slow-diffusion for non-decaying initial data [PDF]
Mathematica Bohemica, 2019 We consider solutions of quasilinear equations $u_t=\Delta u^m + u^p$ in $\mathbb R^N$ with the initial data $u_0$ satisfying $0 < u_0< M$ and $\lim_{|x|\to\infty}u_0(x)=M$ for some constant $M>0$. It is known that if $0<m<p$ with $p>1$,
Amy Poh Ai Ling, Masahiko Shimojō
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Advanced Functional Materials, EarlyView.Intelligent radiative cooling devices, adaptable to various weather conditions, have the potential for year‐round energy savings. This study introduces a sustainable dual‐mode film made from polycaprolactone nanofibers and upcycled chip bags for effective thermal management.
Qimeng Song +4 more
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Comptes Rendus. Mathématique, 2020 Consider a class of integrodifferential of parabolic equations involving variable source with Dirichlet boundary condition \begin{equation*} u_{t}=\Delta u-\int _{0}^{t}g\left(t-s\right) \Delta u\left(x,s\right) \mathrm{d} s+|u| ^{p(x) -2}u.
Rahmoune, Abita
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Advanced Functional Materials, EarlyView.Biofabrication aims at providing innovative technologies and tools for the fabrication of tissue‐like constructs for tissue engineering and regenerative medicine applications. By integrating multiple biofabrication technologies, such as 3D (bio) printing with fiber fabrication methods, it would be more realistic to reconstruct native tissue's ...
Waseem Kitana +2 more
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Applied Mathematics in Science and EngineeringIn this paper, we focus on the phenomenon of blow-up of solutions for semilinear and degenerate (time-derivative) parabolic equation systems with additional source terms.
Bariza Sidhoum +4 more
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Boundary Value Problems, 2020 In the paper, we investigate global and blow-up solutions for a class of nonlinear reaction diffusion equations with Robin boundary conditions. By using auxiliary functions and a first-order differential inequality technique, we establish conditions on ...
Huimin Tian, Lingling Zhang
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Switchable Thermal Mid‐IR Conducting Polymer Antenna Arrays
Advanced Functional Materials, EarlyView.This study presents switchable mid‐infrared plasmonic resonances in PEDOT antenna arrays. Their optical extinction peaks can be reversibly switched ‘OFF’ and ‘ON’ by tuning the polaronic charge carrier concentration via the polymer's redox state, offering modulation of optical responses in the thermal mid‐infrared range including around 10 µm ...
Pravallika Bandaru +5 more
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Abstract and Applied Analysis, 2014 We study the blow-up and global solutions for a class of quasilinear parabolic problems with Robin boundary conditions. By constructing auxiliary functions and using maximum principles, the sufficient conditions for the existence of blow-up solution, an ...
Juntang Ding
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Comptes Rendus. Mécanique, 2023 This paper is concerned with the blow-up time of the solutions to an integro-differential problem of parabolic type with variable growth if blow-up occurs.
Ayazoglu, Rabil, Akkoyunlu, Ebubekir
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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
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