Results 81 to 90 of about 10,897,203 (248)
Blow-up solutions for N coupled Schrodinger equations
Electronic Journal of Differential Equations, 2007 It is proved that blow-up solutions to N coupled Schrodinger equations $$ ivarphi_{jt} + varphi_{jxx} + mu_j|varphi_j|^{p-2}varphi_j +sum_{k eq j,;k=1}^Neta_{kj}|varphi_k|^{p_k}|varphi_j|^{p_j-2} varphi_j=0 $$ exist only under the condition that the ...
Jianqing Chen, Boling Guo
doaj
Blow-Up of Solutions to a Novel Two-Component Rod System
Abstract and Applied Analysis, 2013 We consider a novel two-component rod system which is closely connected to the shallow water theory. The present work is mainly concerned with the blow-up mechanism of strong solutions; we establish new conditions in view of some special classes of ...
Shengrong Liu +2 more
doaj +1 more source
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
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
Nonlinear convection in reaction-diffusion equations under dynamical boundary conditions
Electronic Journal of Differential Equations, 2013 We study the blow-up phenomena for positive solutions of nonlinear reaction-diffusion equations including a nonlinear convection term $partial_t u = Delta u - g(u) cdot abla u + f(u)$ in a bounded domain of $mathbb{R}^N$ under the dissipative ...
Gaelle Pincet Mailly +1 more
doaj
Blow-up for a nonlocal nonlinear diffusion equation with source [PDF]
, 2012 We study the initial-value problem prescribing Neumann boundary conditions for a nonlocal nonlinear diffusion operator with source, in a bounded domain in $\mathbb{R}^N$ with a smooth boundary.
Bogoya, Mauricio
core
Advanced Science, EarlyView.This work employs a hybrid hole transport layer to enhance hole transport efficiency, resulting in improved performance for the final device. It achieves an external quantum efficiency of 6.68%, a circularly polarized electroluminescence asymmetry factor of 0.026, and a high luminance of 14,370 cd/cm2, representing the highest luminance reported to ...
Fengqi Qiu +8 more
wiley +1 more source
Differential Equations and Nonlinear Mechanics, 2007 This paper investigates the local existence of the nonnegative solution and the finite time blow-up of solutions and boundary layer profiles of diffusion equations with nonlocal reaction sources; we also study the global existence and that the rate of ...
Zhoujin Cui, Zuodong Yang
doaj +1 more source
On blow-up solutions of parabolic problems [PDF]
, 2012 This thesis is concerned with the study of the Blow-up phenomena for parabolic problems, which can be defined in a basic way as the inability to continue the solutions up to or after a finite time, the so called blow-up time. Namely, we consider the blow-
Abdul Kadhim Rasheed, Maan +1 more
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Uniqueness and Layer Analysis for Boundary Blow-up Solutions
, 2008 We prove uniqueness for boundary blow-up solutions of the problem:Δu=λf(u) in Ω,u|∂Ω=∞, with large λ. Previous uniqueness results require a monotonicity assumption for f(u)lu in the entire range of the boundary blow-up solutions.
Du, Y, Guo, Z
core +1 more source