Results 31 to 40 of about 304,931 (226)

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 for the critical gKdV equation II: minimal mass dynamics

, 2014
We fully revisit the near soliton dynamics for the mass critical (gKdV) equation. In Part I, for a class of initial data close to the soliton, we prove that only three scenario can occur: (BLOW UP) the solution blows up in finite time $T$ in a ...
Martel, Yvan, Merle, Frank, Raphael, Pierre   +2 more
core   +3 more sources

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

Manufacturing Continuous Fiber‐Reinforced Printing Filaments: Development of a Post‐Consolidation Unit

Advanced Engineering Materials, EarlyView.
A novel, temperature‐controlled post‐consolidation unit is developed to test its potential to improve the melt impregnation process used to manufacture continuous fiber‐reinforced filaments for additive manufacturing of high‐performance thermoplastics.
Daniel Beermann, Patrick Schiebel, David May   +2 more
wiley   +1 more source

Blow-up Profile of Neutron Stars in the Chandrasekhar theory

, 2019
We study the Chandrasekhar variational model for neutron stars, with or without an external potential. We prove the existence of minimizers when the attractive interaction strength $\tau$ is strictly smaller than the Chandrasekhar limit $\tau_c$ and ...
Nguyen, Dinh-Thi
core   +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

On a Finite Differnce Scheme For Blow Up Solutions For The Chipot-Weissler Equation [PDF]

, 2015
In this paper, we are interested in the numerical analysis of blow up for the Chipot-Weissler equation with Dirichlet boundary conditions in bounded domain.
Hani, Houda, Khenissi, Moez
core