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首页> 外文期刊>University of Bucharest. Annals. Mathematical Series >Global existence of weak solutions for parabolic triangular reaction
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Global existence of weak solutions for parabolic triangular reaction

机译：抛物三角反应的弱解的整体存在

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Over the years, reaction-diffusion systems have attracted the attention of a great number of investigators and were successfully developed on the theoretical backgrounds. Not only it has been studied in biological and chemical fields, some investigations range as far as economics, semiconductor physics, and star formation. Recently particular interests have been on the impact of environmental changes, such as climate. This work is devoted to the existence of weak solutions for? m x m reaction-diffusion systems arises from an energy balance climate model. We consider a time evolution model for the climate obtained via energy balance. This type of climate model, independently introduced in 1987 by V. Jentsch, has a spatial global nature and involves a relatively long-time scale. Our study concerns the global existence of periodic solutions of the nonlinear parabolic problem. The originality of this study persists in the fact that the non-linearities of our system have critical growth with respect to the gradient of solutions. For this reason new techniques will used to show the global existence. This is our main goal in this article.
机译：多年来，反应扩散系统引起了许多研究者的注意，并在理论背景上得到了成功的发展。它不仅在生物和化学领域进行了研究，而且在经济学，半导体物理学和恒星形成方面也进行了一些研究。最近，人们特别关注气候变化等环境变化的影响。这项工作致力于存在弱解决方案吗？ m x m反应扩散系统来自能量平衡气候模型。我们考虑通过能量平衡获得的气候的时间演化模型。 V. Jentsch于1987年独立提出的这种气候模式具有空间全球性，涉及相对较长的时间尺度。我们的研究涉及非线性抛物线问题周期解的整体存在。这项研究的独创性在于这样一个事实，即我们系统的非线性相对于解决方案的梯度具有临界增长。因此，将使用新技术来显示全球性存在。这是本文的主要目标。

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