Results 71 to 80 of about 10,457,076 (247)

On the blow-up of a non-local parabolic problem

, 2006
We investigate the conditions under which the solution of the initial-boundary value problem of the non-local equation ut=Δu+λf(u)/(∫Ωf(u)dx)p, where Ω is a bounded domain of RN and f(u) is a positive, increasing, convex function, performs blow-up.
N.I. Kavallaris, Tzanetis, DE, D.E. Tzanetis, Kavallaris, NI, Kavallaris, Nikos I.,, Tzanetis, D.E.,   +5 more
core   +1 more source

Atomic Defects in Layered Transition Metal Dichalcogenides for Sustainable Energy Storage and the Intelligent Trends in Data Analytics

Advanced Science, EarlyView.
This review comprehensively summarizes the atomic defects in TMDs for their applications in sustainable energy storage devices, along with the latest progress in ML methodologies for high‐throughput TEM data analysis, offering insights on how ML‐empowered microscopy facilitates bridging structure–property correlation and inspires knowledge for precise ...
Zheng Luo, Ying Yang, Zizhen Fu, Fengqi Liu, Susu Fang, Kele Xu, Shanshan Wang   +6 more
wiley   +1 more source

A note on the development of singularities on solutions to the Navier-Stokes equations under supercritical forcing terms [PDF]

Opuscula Mathematica
Recently, Qi S. Zhang provided examples of solutions to the Navier-Stokes equations which, under suitable hypotheses, blow-up in finite time. He considers axially symmetric solutions in a cylinder \(D\) under appropriate boundary conditions and under the
Hugo Beirão da Veiga, Jiaqi Yang
doaj   +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

Bifidobacterium Pseudolongum‐Derived Inosine Mitigates Polystyrene Nanoplastics‐Induced Hepatic Injury by Inhibiting the Polarization of M1 Macrophages

Advanced Science, EarlyView.
Probiotic B.p colonization elevated gut‐derived inosine level in the liver, while elevated inosine activated A2AR and subsequently blocked NPs‐induced polarization of M1 macrophages by repressing the miR155/SOCS1/NF‐κB pathway. This reduced the release of inflammatory cytokines and thereby, mitigated NPs‐induced hepatic injury.
Kaikai Zhang, Yuchuan Chen, Jiayuan Wan, Jianzheng Yang, Lijian Chen, Qingyuan Li, Anding Zhou, Nian Zhou, Jiuyang Ding, Qi Wang, Jian Sun   +10 more
wiley   +1 more source

Blow-up of positive solutions of a semilinear parabolic equation with a gradient term

, 2003
We study the blow-up behavior (in time and space) of positive solutions of a semilinear parabolic equation with a gradient term. Our main result is a sharp estimate for the spatial blow-up profile of radially decreasing solutions on a ball.
Marek Fila (16071293), Chlebik, M., Miroslav Chlebik (4461319), Fila, M., Pavol Quittner (16072010), Quittner, P.   +5 more
core  

VDAC1 Upregulation Induces Hyperexcitability of Nociceptive Sensory Neurons Via Enhanced Mitochondrial Atp Efflux in Neuropathic Pain

Advanced Science, EarlyView.
The mechanism diagram of VDAC1 mediating neuronal excitability and neuropathic pain. Briefly, VDAC1 is expressed in DRG neurons and is upregulated following CCI‐induced neuropathic pain. This upregulation enhances ATP transport from mitochondria to the cytoplasm in sensory neurons, leading to increased neuronal excitability and pain behavior.
Fengrun Sun, Ning Yu, Liang Yu, Xiaofen Tian, Yujia Ma, Yikuan Xie, Tao Wang, Chao Ma   +7 more
wiley   +1 more source

Blow-up rate estimates and blow-up set for a system of two heat equations with coupled nonlinear neumann boundary conditions

, 2020
This paper deals with the blow-up properties of positive solutions to a parabolic system of two heat equations, defined on a ball in associated with coupled Neumann boundary conditions of exponential type.
Maan A Rasheed (16279517), Miroslav Chlebik (4461319)   +1 more
core   +1 more source

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 Solution of a Porous Medium Equation with Nonlocal Boundary Conditions

Complexity, 2020
In this paper, we devote to studying the blow-up phenomena for a porous medium equation under nonlocal boundary conditions. Based on auxiliary functions and differential inequality technique, we derive the sufficient conditions to guarantee the existence
Huimin Tian, Lingling Zhang
doaj   +1 more source