Blow-up of Solutions to a $p$-Laplace Equation Consider two perfectly conducting spheres in a homogeneous medium where the current-electric field relation is the power law. Electric field E blows up in ... Y Gorb,A Novikov - Society for Industrial and Applied Mathematics 被引量: 0发表: ...
Gorb, Y.Novikov, A.Multiscale modeling & simulationY. Gorb; A. Novikov, Blow-up of solutions to a p-Laplace equation, Multiscal Model. Simul. 10 (2012), 727-743.Yuliya Gorb and Alexei Novikov. Blow-up of solutions to a p-Laplace equation. Multiscale Model. Simul., 10(3):727-743...
Consider two perfectly conducting spheres in a homogeneous medium where the current-electric field relation is the power law. Electric field blows up in the L-infinity norm as the distance between the conductors tends to zero. We give here a concise rigo
These solutions are verified based respectively on an energy estimate method and Jensen's inequality. A theorem for the first boundary value problem is also verified using Fourier transform method. 9 Refs.关键词: Quasilinear ...
Combining logarithmic Sobolev inequality and Hardy inequality, we prove that the solutions to the pseudo-parabolic equations with logarithmic nonlinearity ulog|u| blow up at infinity when R≤1. However, there is no restriction on R if the singular potential is 1. Second, when the singular ...
In this paper, we investigate a scenario concerning a coupled nonlocal singular viscoelastic equation with sources and distributed delay terms. By establishing suitable conditions, we have proved that a finite-time blow-up occurs in the solution.
Inthe1astthreedecades,manyauthorsstudiedtheglobalexistenceorblow—upofsolutions tosomeparabolicproblemswithnonlinearboundaryconditions.In [5].Wang considered the glob al exist en ce of solu t ion s t o t h e f ollowin g p roblem : ...
In this paper, we investigate a scenario concerning a coupled nonlocal singular viscoelastic equation with sources and distributed delay terms. By establishing suitable conditions, we have proved that a finite-time blow-up occurs in the solution.
9.Blow-up for Laplace equation with dynamical boundary conditions of hyperbolic type;具双曲动力边界的Laplace方程解的爆破 10.On the Blow-up of Solutions of Nonlinear Klein-Gordon Equations;关于非线性Klein—Gordon方程解的爆破 11.Blow-up of the Solution for a Klein-Gordon Equation with the Positive...
They also gave some properties of the solution, such as extinction, nonfinite speed of propagation, according to the values of p. Some regularities are also established in [12]. When p = 2 and f is nonlinear, Musso et al. [21] consider infinite time blow-up for positive solutions of ...