高阶拟线性抛物型方程的边界爆破结构

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences Pub Date : 2004-11-08 DOI:10.1098/rspa.2004.1297

V. Galaktionov, A. Shishkov

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引用次数: 17

摘要

利用与圣维南原理相关的能量估计，研究了二阶拟线性抛物方程的奇点形成现象。建立了由边界、全局和区域爆炸机制产生的奇点传播的尖锐估计。

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Structure of boundary blow-up for higher-order quasilinear parabolic equations

Singularity formation phenomena for 2mth–order quasilinear parabolic equations are studied by using energy estimates related to Saint–Venant's principle. Sharp estimates of propagation of singularities generated by boundary global and regional blow-up regimes are established.

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Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences

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期刊介绍： Proceedings A publishes articles across the chemical, computational, Earth, engineering, mathematical, and physical sciences. The articles published are high-quality, original, fundamental articles of interest to a wide range of scientists, and often have long citation half-lives. As well as established disciplines, we encourage emerging and interdisciplinary areas.