On stationary solutions and blow-up for a discrete model with nonlocal diffusion

Cesar A. Gomez; Mauricio Bogoya

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On stationary solutions and blow-up for a discrete model with nonlocal diffusion

机译：具有非局部扩散的离散模型的平稳解和爆破

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In this paper, we study some results relatives to a nonlocal di usionmodel with Neumann boundary conditions in the discrete case. In par-ticular, aspects relatives to stationary solutions are derived. We alsostudy the blow-up phenomenon of the solutions and we nd the blowup rates when the boundary conditions is given by the function up withp > 1. The asymptotic behavior of the solutions as t goes to in nity isstudied. Finally, we show some numerical experiments which illustrateour results.

机译：在本文中，我们研究了在离散情况下与具有Neumann边界条件的非局部扩散模型有关的一些结果。特别地，得出与固定解有关的方面。我们还研究了解的爆炸现象，当边界条件由函数upp> 1给出时，求出了爆炸率。研究了t随t到达n时解的渐近行为。最后，我们显示了一些数值实验来说明我们的结果。

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《Contemporary Engineering Sciences》 |2018年第36期|共11页
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Cesar A. Gomez; Mauricio Bogoya;
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On stationary solutions and blow-up for a discrete model with nonlocal diffusion

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