Results 91 to 100 of about 11,512,228 (286)
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
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Blow-up set for type I blowing up solutions for a semilinear heat equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2014 Let u be a type I blowing up solution of the Cauchy–Dirichlet problem for a semilinear heat equation, \left\{\begin{matrix} \partial _{t}u = \mathrm{\Delta }u + u^{p}, & x \in \Omega ,\:t > 0, \\ u(x,t) = 0, & x \in \partial ...
Fujishima, Yohei, Ishige, Kazuhiro
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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
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Blow-up solutions for damped Rao-Nakra beams with source terms
Electronic Journal of Differential EquationsThis article concerns the blow-up of solutions for a damped Rao-Nakra beam equation with nonlinear source terms at arbitrary initial energy levels. We estimate the lower and upper bounds of the lifespan of the blow-up solution and the blow-up rate by ...
Mirelson M. Freitas +4 more
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On Blow-up of Solutions for Quasilinear Degenerate Parabolic Equations
Publications of the Research Institute for Mathematical Sciences, 1991 Let \(\Omega\) be a bounded domain in \(\mathbb{R}^ n\) with smooth boundary \(\partial\Omega\). In this paper the authors consider the parabolic initial-boundary value problem \[ (a(u))_ t= \Delta u+f(u) \qquad \text{in} \qquad \Omega\times (0,T), \] \[ Bu(x,t)=0 \quad \text{on} \quad \partial\Omega\times (0,T), \qquad u(x,0)= u_ 0(x) \quad \text{in} \
Imai, Takashi, Mochizuki, Kiyoshi
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Blow-up and decay criteria for a model of chemotaxis
, 2010 For a system of equations introduced by Jäger and Luckhaus (1992) [6] as a model of chemotaxis, the questions of blow-up and global existence criteria are investigated.
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, 2022 This work is concerned with the development of an adaptive numerical method for semilinear heat flow models featuring a general (possibly) nonlinear reaction term that may cause the solution to blow up in finite time.
Wihler, Thomas P. +3 more
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Advanced Science, EarlyView.MeO‐2PACz‐functionalized MXene nanosheets create a thermally conductive buried interface in inverted perovskite solar cells. The interface improves heat spreading, suppresses defects and ion migration, and strengthens charge extraction, extending T80 at 65°C from 141 to 687 h while maintaining competitive efficiency.
Masoud Karimipour +12 more
wiley +1 more source
Numerical study of blow-up in the Davey-Stewartson system
, 2013 Nonlinear dispersive partial differential equations such as the nonlinear Schrödinger equations can have solutions that blow up. We numerically study the long time behavior and potential blow-up of solutions to the focusing Davey-Stewartson II equation ...
Klein, Christian +2 more
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Advanced Science, EarlyView.This work presents a clinically deployable simultaneous PET/MRI workflow which integrates hyperpolarized 13C imaging of metabolism and extracellular pH with [18F]FMISO PET to characterize hypoxia, acidosis, and metabolic reprogramming in feline sarcoma.
Martin Grashei +17 more
wiley +1 more source