Results 101 to 110 of about 11,046,071 (291)

Singularity for the macroscopic production model with Chaplygin gas

Advances in Nonlinear Analysis
In this article, we investigate the formation of singularities in solutions of homogeneous and inhomogeneous systems for a macroscopic production model with Chaplygin gas using the method of characteristic decomposition.
Liu Xiaoli, Guo Lihui, Hu Yanbo
doaj   +1 more source

Bound Water as a Reinforcing Element for Ultra‐Strong Polyacrylamide

Advanced Science, EarlyView.
Rather than acting as a conventional plasticizer, bound water serves as a reinforcing element in polyacrylamide by constructing strong PAM–water–PAM hydrogen‐bond networks. This water‐mediated architecture delivers ultra‐high mechanical strength and exceptional flame resistance, redefining the role of water in polymer reinforcement.
Sirawit Pruksawan, Nannan Li, Zehuang Lin, Jianwei Zheng, Terence Jun En Loh, Yi Ting Chong, Junhua Kong, Xunan Hou, Xian Jun Loh, Chaobin He, FuKe Wang   +10 more
wiley   +1 more source

Global well-posedness of solutions to a class of heat equation under dynamical type boundary conditions [PDF]

Arab Journal of Mathematical Sciences
PurposeBy employing the Galerkin approximation and a family of potential wells, we establish the existence of a global solution and finite-time blow-up under certain suitable conditions. Additionally, we provide results concerning the asymptotic behavior
Mahmoud El Ahmadi, Anass Lamaizi, Mohammed Barghouthe   +2 more
doaj   +1 more source

Blowing up solutions for a biharmonic equation with critical nonlinearity

Asymptotic Analysis, 2005
In this paper we consider the following biharmonic equation with critical exponent $\[$(P_{\varepsilon})\dvt\Delta^{2}u=Ku^{\frac{n+4}{n-4}-\varepsilon}$$ , u>0 in Ω and u=Δu=0 on $\[$\curpartial \varOmega $$ , where Ω is a smooth bounded domain in $\[$\mathbb{R}^{n}$$ , n≥5, ε is a small positive parameter, and K is a smooth ...
Mehdi, Khalil El, Hammami, Mokhless
openaire   +2 more sources

Strategy of Triple‐Gradient in Binary Pixels for Flexible Pressure Sensing with High Sensitivity and Wide‐Range Linearity

Advanced Science, EarlyView.
A flexible pressure sensor with triple‐gradient design of conductivity, modulus, and dimension in binary micro‐dome pixels is proposed. Based on precisely‐designed CNT/PDMS matrix, the device exhibits a linear sensitivity of 974.1 kPa−1 across range up to 1.8 MPa (R2 > 0.99), offering an effective strategy for potential applications in healthcare ...
Yifan Liu, Xiao Xu, Fengming Hu, Yuanzhe Liang, Zidong Yin, Biao Qi, Ruolin Liu, Ziyi Dai, Jianyi Luo, Bingpu Zhou   +9 more
wiley   +1 more source

Some properties of solutions for an isothermal viscous Cahn–Hilliard equation with inertial term

Boundary Value Problems, 2018
In this paper, we study the global existence and blow-up of solutions for an isothermal viscous Cahn–Hilliard equation with inertial term, which arises in isothermal fast phase separation processes.
Changchun Liu, Jiaojiao Wang
doaj   +1 more source

Polydopamine Nanoparticle‐Mediated Precise Near‐Infrared Optical Stimulation for Cognitive Enhancement

Advanced Science, EarlyView.
Polydopamine nanoparticles enable a precise, non‐genetic, and transcranial neuromodulation strategy via near‐infrared photothermal stimulation. By activating TRPV1 channels, this approach specifically enhances hippocampal gamma oscillations, thereby rescuing spatial memory deficits in models of perioperative neurocognitive disorder.
Yan‐Bo Zhou, Qiong Xue, Su‐Xuan Hou, Ke‐Yao Zhang, Wei‐Tong Pan, Ting‐Ting Zeng, Yu‐Ge Wang, Daqing Ma, Chenguang Zhao, Pan‐Miao Liu, Jian‐Jun Yang   +10 more
wiley   +1 more source

Analysis and simulation of radially symmetric solutions for free boundary problems with superlinear reaction term

Electronic Journal of Differential Equations, 2016
This article concerns with the solution to a heat equation with a free boundary in n-dimensional space. By applying the energy inequality to the solutions that depend not only on the initial value but also on the dimension of space, we derive the ...
Qunying Zhang, Jing Ge, Zhigui Lin
doaj  

Blow-up and global existence for nonlinear reaction-diffusion equations under Neumann boundary conditions

Journal of Inequalities and Applications, 2016
In this paper, we study the blow-up and global solutions of the following nonlinear reaction-diffusion equations under Neumann boundary conditions: { ( g ( u ) ) t = ∇ ⋅ ( a ( u ) b ( x ) ∇ u ) + f ( x , u ) in  D × ( 0 , T ) , ∂ u ∂ n = 0 on  ∂ D × ( 0 ,
Juntang Ding
doaj   +1 more source

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