Results 1 to 10 of about 19,864 (168)
Fractal and Fractional, 2023 The study of the blow-up phenomenon for fractional reaction–diffusion problems is generally deemed of great importance in dealing with several situations that impact our daily lives, and it is applied in many areas such as finance and economics.
Tareq Hamadneh +7 more
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Blow-up results of the positive solution for a class of degenerate parabolic equations
Open Mathematics, 2021 This paper is devoted to discussing the blow-up problem of the positive solution of the following degenerate parabolic equations: (r(u))t=div(∣∇u∣p∇u)+f(x,t,u,∣∇u∣2),(x,t)∈D×(0,T∗),∂u∂ν+σu=0,(x,t)∈∂D×(0,T∗),u(x,0)=u0(x),x∈D¯.\left\{\begin{array}{ll}{(r ...
Dong Chenyu, Ding Juntang
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Blow-up of Solutions to a $p$-Laplace Equation [PDF]
Multiscale Modeling & Simulation, 2012 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 rigorous justification of the rate of this blow-up in terms of the distance between the conductors.
Yuliya Gorb, Alexei Novikov
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Comptes Rendus. Mathématique, 2020 Consider a class of integrodifferential of parabolic equations involving variable source with Dirichlet boundary condition \begin{equation*} u_{t}=\Delta u-\int _{0}^{t}g\left(t-s\right) \Delta u\left(x,s\right) \mathrm{d} s+|u| ^{p(x) -2}u.
Rahmoune, Abita
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Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations [PDF]
Opuscula Mathematica, 2019 Global well-posedness and finite time blow up issues for some strongly damped nonlinear wave equation are investigated in the present paper. For subcritical initial energy by employing the concavity method we show a finite time blow up result of the ...
Yang Yanbing +3 more
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Blow-Up Solutions of Liouville’s Equation and Quasi-Normality [PDF]
Computational Methods and Function Theory, 2020 We prove that the family $\mathcal{F}_C(D)$ of all meromorphic functions $f$ on a domain $D\subseteq \mathbb{C}$ with the property that the spherical area of the image domain $f(D)$ is uniformly bounded by $C π$ is quasi--normal of order $\le C$. We also discuss the close relations between this result and the well--known work of Brézis and Merle on ...
Grahl, Jürgen +2 more
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Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In this work we study the effect of time finiteness of the existence of Cauchy problem for nonlinear Schrödinger equation solution. Together with the ill-posed Cauchy problem we consider its neighborhood in the space of operators, representing Cauchy ...
Vsevolod Zhanovich Sakbaev
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Blow-up analysis in a quasilinear parabolic system coupled via nonlinear boundary flux
Electronic Journal of Qualitative Theory of Differential Equations, 2021 This paper deals with the blow-up of the solution for a system of evolution $p$-Laplacian equations $u_{it}=\text{div}(|\nabla u_{i}|^{p-2}\nabla u_{i})\;(i=1,2,\dots,k)$ with nonlinear boundary flux.
Pan Zheng, Zhonghua Xu, Zhangqin Gao
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Connecting equilibria by blow-up solutions
Discrete and Continuous Dynamical Systems, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fila, Marek, Matano, Hiroshi
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Mathematics, 2023 This paper deals with a nonlinear nonlocal parabolic system with nonlinear heat-loss boundary conditions, which arise in the thermal explosion model. Firstly, we prove a comparison principle for some kinds of parabolic systems under nonlinear boundary ...
Wenyuan Ma, Baoqiang Yan
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