Results 31 to 40 of about 325,285 (279)

Blow-Up Solution of Modified-Logistic-Diffusion Equation

International Journal of Differential Equations, 2019
Modified-Logistic-Diffusion Equation ut=Duxx+u|1-u| with Neumann boundary condition has a global solution, if the given initial condition ψ satisfies ψ(x)≤1, for all x∈[0,1].
P. Sitompul, Y. Soeharyadi
doaj   +1 more source

Blow-up phenomena and lifespan for a quasi-linear pseudo-parabolic equation at arbitrary initial energy level

Boundary Value Problems, 2018
In this paper, we continue to study the initial boundary value problem of the quasi-linear pseudo-parabolic equation ut−△ut−△u−div(|∇u|2q∇u)=up $$ u_{t}-\triangle u_{t}-\triangle u-\operatorname{div}\bigl(| \nabla u|^{2q}\nabla u\bigr)=u^{p} $$ which was
Gongwei Liu, Ruimin Zhao
doaj   +1 more source

Blow-up solutions for a Blow-up solutions for a Blow-up solutions for a $p$-Laplacian elliptic equation of logistic type with singular nonlinearity

, 2015
In this paper, we deal with existence, uniqueness and exact rate of boundary behavior of blow-up solutions for a class of logistic type quasilinear problem in a smooth bounded domain involving the $p$-Laplacian operator, where the nonlinearity can have a singular behavior.
Alves, Claudianor O., Santos, Carlos A., Zhou, Jiazheng   +2 more
openaire   +2 more sources

Blow-up solutions for \(N\) coupled Schrödinger equations

Electronic Journal of Differential Equations, 2007
Summary: It is proved that blow-up solutions to \(N\) coupled Schrödinger equations \[ i\varphi_{jt} + \varphi_{jxx} + \mu_j|\varphi_j|^{p-2}\varphi_j +\sum_{k\neq j,\;k=1}^N\beta_{kj}|\varphi_k|^{p_k}|\varphi_j|^{p_j-2} \varphi_j=0 \] exist only under the condition that the initial data have strictly negative energy.
Jianqing Chen, Boling Guo
openaire   +3 more sources

A singular non-Newton filtration equation with logarithmic nonlinearity: global existence and blow-up

Comptes Rendus. Mécanique, 2022
In this paper, we study the initial-boundary value problem of the singular non-Newton filtration equation with logarithmic nonlinearity. By using the concavity method, we obtain the existence of finite time blow-up solutions at initial energy $J(u_0 ...
Deng, Qigang, Zeng, Fugeng, Jiang, Min
doaj   +1 more source

Understanding the Stochastic Nature of Process Parameter Development of Blown Powder Laser Beam Directed Energy Deposition Additive Manufacturing of Pure Molybdenum

Advanced Engineering Materials, EarlyView.
Identified through the use of statistical design of experiments and metallographic investigation, this study exposes the stochastic origins of intergranular cracks in blown powder laser beam directed energy deposition additive manufacturing of pure molybdenum. It further demonstrates a successful crack mitigation approach with direct correlation to the
Nathaniel J. Lies, Daniel E. Driemeyer, Aaron P. Stebner   +2 more
wiley   +1 more source

Dual‐Mode Film Based on Highly Scattering Nanofibers and Upcycled Chips‐Bags for Year‐Round Thermal Management

Advanced Functional Materials, EarlyView.
Intelligent radiative cooling devices, adaptable to various weather conditions, have the potential for year‐round energy savings. This study introduces a sustainable dual‐mode film made from polycaprolactone nanofibers and upcycled chip bags for effective thermal management.
Qimeng Song, Stefan Rettinger, Chengzhang Xu, Ulrich Mansfeld, Markus Retsch   +4 more
wiley   +1 more source

The Delayed Effect of Multiplicative Noise on the Blow-Up for a Class of Fractional Stochastic Differential Equations

Fractal and Fractional
We investigated the blow-up of the weak solution to a class of fractional nonlinear stochastic differential equations driven by multiplicative noise in this paper.
Xinyi Xie, Fei Gao
doaj   +1 more source

Wave breaking of periodic solutions to the Fornberg-Whitham equation

, 2017
Based on recent well-posedness results in Sobolev (or Besov spaces) for periodic solutions to the Fornberg-Whitham equations we investigate here the questions of wave breaking and blow-up for these solutions.
Hoermann, Guenther
core   +1 more source

3D (Bio) Printing Combined Fiber Fabrication Methods for Tissue Engineering Applications: Possibilities and Limitations

Advanced Functional Materials, EarlyView.
Biofabrication aims at providing innovative technologies and tools for the fabrication of tissue‐like constructs for tissue engineering and regenerative medicine applications. By integrating multiple biofabrication technologies, such as 3D (bio) printing with fiber fabrication methods, it would be more realistic to reconstruct native tissue's ...
Waseem Kitana, Indra Apsite, Leonid Ionov   +2 more
wiley   +1 more source