Results 71 to 80 of about 8,356,171 (248)

Blow-up of waves on singular spacetimes with generic spatial metrics. [PDF]

Lett Math Phys, 2022
Fajman D, Urban L.
europepmc   +1 more source

Blow up of solutions to semilinear wave equations

Electronic Journal of Differential Equations, 2003
This work shows the absence of global solutions to the equation $$ u_{tt} = Delta u + p^{-k}|u|^m, $$ in the Minkowski space $mathbb{M}_0=mathbb{R}imesmathbb{R}^N$, where $ m > 1$, $(N-1)m < N+1$, and $p $ is a conformal factor approaching 0 at infinity.
Mohammed Guedda
doaj  

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, Min‐Yeong Choi, Tao Du, Jinho Rhee, Seokho Moon, Yeon‐Seo Nam, Xiaoyan Lu, Jong Kyu Kim, Jungwon Park, Moon‐Ho Jo, Cheol‐Joo Kim, Si‐Young Choi   +11 more
wiley   +1 more source

On blow-up and asymptotic behavior of solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions [PDF]

, 1999
summary:We obtain some sufficient conditions under which solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions tend to zero or blow up in a finite time. We also give the asymptotic behavior of solutions which tend
Boni, Théodore K.
core  

Coupled versus uncoupled blow-up rates in cooperative n-species Logistic Systems

, 2017
This paper ascertains the exact boundary blow-up rates of the large positive solutions of a class of cooperative logistic systems involving n species in a general domain of ℝN of class C 2+ν, 0 < ν < 1.
López Gómez, Julián, Maire, Luis
core   +1 more source

Numerical study on the blow-up rate to a quasilinear parabolic equation [PDF]

, 2017
summary:In this paper, we consider the blow-up solutions for a quasilinear parabolic partial differential equation $u_t = u^2(u_{xx}+u)$. We numerically investigate the blow-up rates of these solutions by using a numerical method which is recently ...
Ishiwata, Tetsuya, Ushijima, Takeo, Anada, Koichi   +2 more
core   +1 more source

Improving High‐Temperature Operational Stability of Inverted Perovskite Solar Cells Through MXene Heat‐Dissipating Layers

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, Nil Monrós Oliveras, Zhenchuan Tian, Timm Swoboda, Francesco Salutari, Marianna Sledzinska, Maria Chiara Spadaro, Kenedy Tabah Tanko, Javier Rodríguez‐Viejo, Jordi Arbiol, Tiankai Zhang, Feng Gao, Monica Lira‐Cantu   +12 more
wiley   +1 more source

Simultaneous and non-simultaneous blow-up and uniform blow-up profiles for reaction-diffusion system

Electronic Journal of Differential Equations, 2012
This article concerns the blow-up solutions of a reaction-diffusion system with nonlocal sources, subject to the homogeneous Dirichlet boundary conditions.
Zhengqiu Ling, Zejia Wang
doaj  

Concentration of blow-up solutions for the Gross-Pitaveskii equation

Advances in Nonlinear Analysis
We consider the blow-up solutions for the Gross-Pitaveskii equation modeling the attractive Boes-Einstein condensate. First, a new variational characteristic is established by computing the best constant of a generalized Gagliardo-Nirenberg inequality ...
Zhu Shihui
doaj   +1 more source

Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation

Journal of Applied Mathematics, 2013
We study the Cauchy problem of a weakly dissipative modified two-component Camassa-Holm equation. We firstly establish the local well-posedness result. Then we present a precise blow-up scenario.
Yongsheng Mi, Chunlai Mu
doaj   +1 more source