Results 61 to 70 of about 5,637,423 (161)

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

Contact blow-up

, 2015
We introduce definitions of contact blow–up from several perspectives. Such different approaches to the contact blow–up are related.
Pancholi, Dishant M., Presas, Francisco, Casals, Roger   +2 more
core   +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  

Simulation of Counter Blow Process of PBL Quartz Bottle Fabrication [PDF]

, 2012
Several kinds of defects that occur in bottle industry will reduce efficiency of bottle production. The defective bottle products are caused by several factors, such as human error, compositions, faults in temperature and machinery setting.
Arimaz , Hangga, Doty , Dewi Risanti, Lizda , Johar Mawarani   +2 more
core  

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

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

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

On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System

Journal of Applied Mathematics, 2012
We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result.
Yongsheng Mi, Chunlai Mu, Weian Tao
doaj   +1 more source

Type II blow up manifolds for the energy supercritical wave equation

, 2014
We consider the non linear focusing wave equation $\partial_{tt}u-\Delta u-u|u|^{p-1}=0$ in large dimensions and for radially symmetric data, in the energy supercritical zone for p large enough. We construct finite time blow up solutions that concentrate
Collot, Charles
core  

Blow-up for a nonlocal nonlinear diffusion equation with source [PDF]

, 2012
We study the initial-value problem prescribing Neumann boundary conditions for a nonlocal nonlinear diffusion operator with source, in a bounded domain in $\mathbb{R}^N$ with a smooth boundary.
Bogoya, Mauricio
core