Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
Wenjie Gao,Yuzhu Han +1 more
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TLDR
A blow-up result for a certain solution with positive initial energy is established in a semilinear parabolic equation with a homogeneous Neumann boundary condition.About:
This article is published in Applied Mathematics Letters.The article was published on 2011-05-01 and is currently open access. It has received 41 citations till now. The article focuses on the topics: Neumann boundary condition & Work (thermodynamics).read more
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Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
Xingchang Wang,Runzhang Xu +1 more
TL;DR: In this paper, the initial boundary value problem for a nonlocal semilinear pseudo-parabolic equation is investigated, which was introduced to model phenomena in population dynamics and biological sciences where the total mass of a chemical or an organism is conserved.
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Blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy☆
TL;DR: A blow-up result is established for certain solution with positive initial energy for semilinear parabolic equations with variable reaction u t = Δ u + u p ( x ) with homogeneous Dirichlet boundary conditions.
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Finite-time blow-up and extinction rates of solutions to an initial Neumann problem involving the $p(x,t)$ -Laplace operator and a non-local term.
Bin Guo,Wenjie Gao +1 more
TL;DR: In this article, the authors studied the vanishing property and the extinction rate of solutions to the initial homogeneous Neumann problem of a nonlinear diffusion equation involving the $p(x,t)$-Laplace operator.
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Blow-up phenomena for a nonlocal semilinear parabolic equation with positive initial energy
Ali Khelghati,Khadijeh Baghaei +1 more
TL;DR: It is proved that the classical solutions to the following semilinear parabolic equation blow up in finite time when the initial energy is positive and initial data is suitably large.
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Blow-up for a thin-film equation with positive initial energy ☆
TL;DR: In this article, the authors derived the conditions for global existence, blow-up and extinction for a thin-film equation with nonlocal source, and derived the upper bound of the blowup time.
References
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Global nonexistence theorems for a class of evolution equations with dissipation
TL;DR: In this paper, the authors studied abstract evolution equations with nonlinear damping terms and source terms and proved a global nonexistence theorem for positive initial value of the energy when (1 1) is a constant.
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Properties of Positive Solutions for Non-local Reaction–Diffusion Problems
Mingxin Wang,Yuanming Wang +1 more
TL;DR: In this paper, the properties of positive solutions for three non-local reaction-diffusion problems are investigated and conditions on the existence and non-existence of global positive solutions are given.
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Semilinear parabolic equations with prescribed energy
Bei Hu,Hong-Ming Yin +1 more
TL;DR: In this article, the authors studied the reaction-diffusion equation with an initial and boundary condition, and showed that the solution can be found in finite time if p > n/(n-2) while it exists globally in time if 1 < p < n/n/2, no matter how large the initial value is.
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Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
Mustapha Jazar,R. Kiwan +1 more
TL;DR: In this paper, a positive answer to the conjecture proposed in [A. El Soufi, M. Jazar, R. H. Monneau, A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions was given.
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Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
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