Some Nonclassical Trends in Parabolic and Parabolic-like Evolutions
Some Nonclassical Trends in Parabolic and Parabolic-like Evolutions
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DOI：
10.1007/978-3-662-05281-5_3
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
P. Fife
中科院分区：
文献类型：
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作者：
P. Fife
概述将给出一些非线性抛物线样的发展问题，这是经典的因循守旧，但在过去的十年中增加了重要性。重点是对问题是非本地的，图案形成（包括表现出传播现象），和/或导致一些奇异的限制自由边界问题。在所有情况下，它们都被提出来作为自然科学中现象的模型。还强调了这些不同趋势之间的关系。
An overview will be given of some nonlinear parabolic-like evolution problems which are off the classical beaten track, but have increased in importance during the past decade. The emphasis is on problems which are nonlocal, pattern-forming (including exhibiting propagative phenomena), and/or lead in some singular limit to free boundary problems. In all cases they have been proposed as models for phenomena in the natural sciences. Also emphasized are the relationships among these various trends.