Results 51 to 60 of about 396,174 (280)

A lower bound on the blow-up rate for the Davey-Stewartson system on the torus

, 2013
We consider the hyperbolic-elliptic version of the Davey-Stewartson system with cubic nonlinearity posed on the two dimensional torus. A natural setting for studying blow up solutions for this equation takes place in $H^s, 1/2 < s < 1$. In this paper, we
Barros, Burq, Burq, Chihara, Ghidaglia, Ghidaglia, Ginibre, Godet, Hani, Hayashi, Klein, Li, Linares, Nicolas Godet, Ozawa, Richards, Wang, Zhang   +17 more
core   +1 more source

Inflammatory Response‐Inspired Thermochromic Shield for Pneumatic Structures

Advanced Engineering Materials, EarlyView.
A thermochromic shield for pneumatic structures is developed, using anhydrous sodium acetate powder and thermochromic pigment‐included solution. In this shield composed of three layers, the exothermic and thermochromic reactions, followed by the mixture of both components, occur promptly with an incident of penetrating damage as a sign of initial ...
Hyun Jae Lee, Ryuma Niiyama
wiley   +1 more source

Full blow-up range for co-rotaional wave maps to surfaces of revolution [PDF]

, 2014
We construct blow-up solutions of the energy critical wave map equation on $\mathbb{R}^{2+1}\to \mathcal N$ with polynomial blow-up rate ($t^{-1-\nu}$ for blow-up at $t=0$) in the case when $\mathcal{N}$ is a surface of revolution.
Gao, Can
core   +1 more source

Dual‐Mode Film Based on Highly Scattering Nanofibers and Upcycled Chips‐Bags for Year‐Round Thermal Management

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, Stefan Rettinger, Chengzhang Xu, Ulrich Mansfeld, Markus Retsch   +4 more
wiley   +1 more source

Global existence and finite time blow-up of solutions to a nonlocal p-Laplace equation

Mathematical Modelling and Analysis, 2019
In this paper a class of nonlocal diffusion equations associated with a p-Laplace operator, usually referred to as p-Kirchhoff equations, are studied.
Jian Li, Yuzhu Han
doaj   +1 more source

Global Existence and Blow-Up of Solutions to a Parabolic Nonlocal Equation Arising in a Theory of Thermal Explosion

Journal of Function Spaces, 2022
Focusing on the physical context of the thermal explosion model, this paper investigates a semilinear parabolic equation ut=Δu+a∫Ωupdx,x,t∈QT,n·∇u+guu=0,x,t∈ST,ux,0=u0x,x∈Ω with nonlocal sources under nonlinear heat-loss boundary conditions, where a,p>0 ...
Wenyuan Ma, Zhixuan Zhao, Baoqiang Yan
doaj   +1 more source

Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations

, 2007
Consider axisymmetric strong solutions of the incompressible Navier-Stokes equations in $\R^3$ with non-trivial swirl. Such solutions are not known to be globally defined, but it is shown in \cite{MR673830} that they could only blow up on the axis of ...
Caffarelli, Chae, Chen, Chiun-Chuan Chen, De Giorgi, Escauriaza, Fabes, Fabes, Giga, Gustafson, Horng-Tzer Yau, Hou, Jiu, Kang, Koch, Krylov, Ladyšenskaja, Ladyšenskaja, Leonardi, Leray, Lewis, Lieberman, Lin, Moser, Nash, Neustupa, Neustupa, Nečas, Rivière, Robert M. Strain, Scheffer, Seregin, Serrin, Sohr, Stein, Struwe, Tai-Peng Tsai, Temam, Tian, Tsai, Ukhovskii, Vasseur, Von Wahl, Zhang, Šverák   +44 more
core   +1 more source

3D (Bio) Printing Combined Fiber Fabrication Methods for Tissue Engineering Applications: Possibilities and Limitations

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, Indra Apsite, Leonid Ionov   +2 more
wiley   +1 more source

Cryo‐EM of Rationally Designed Photosystem I Nanoassembly on Graphene Validates Orientation‐Driven Enhancement of Photocatalytic Performance

Advanced Functional Materials, EarlyView.
The first cryo‐EM visualization and quantification of oriented Photosystem I (PSI) on single‐layer graphene is reported. Domain‐specific covalent anchoring of PSI, with the reducing side of the biophotocatalyst toward graphene, promotes three‐fold higher anodic photocurrent generation compared to a randomly physisorbed counterpart. This approach allows
Miriam Izzo, Margot Jacquet, Tomasz Góral, Marcin Strawski, Takayuki Fujiwara, Shin‐ya Miyagishima, Joanna Kargul   +6 more
wiley   +1 more source

An adaptive numerical method for the wave equation with a nonlinear boundary condition

Electronic Journal of Differential Equations, 2003
We develop an efficient numerical method for studying the existence and non-existence of global solutions to the initial-boundary value problem {gather*} u_{tt}=u_{xx}quad 00, u(x,0)=f(x),quad u_{t}(x,0)=g(x) quad ...
Azmy S. Ackleh, Keng Deng, Joel Derouen
doaj