Results 11 to 20 of about 304,931 (226)
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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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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Prescribing Morse scalar curvatures: Subcritical blowing-up solutions [PDF]
Journal of Differential Equations, 2020 Prescribing conformally the scalar curvature of a Riemannian manifold as a given function consists in solving an elliptic PDE involving the critical Sobolev exponent. One way of attacking this problem consist in using subcritical approximations for the equation, gaining compactness properties.
Malchiodi, Andrea, Mayer, Martin
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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 of incompressible Euler solutions [PDF]
BIT Numerical Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hoffman, Johan, Johnson, Claes
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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 $ is quasi--normal of order $\le C$. We also discuss the close relations between this result and the well--known work of Br zis 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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Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
, 2013 We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Bandle C. +6 more
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