Finite Time Blowup for Parabolic Systems in Two Dimensions

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• 作者：Connor Mooney
• 刊名：Archive for Rational Mechanics and Analysis
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：223
• 期：3
• 页码：1039-1055
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Classical Mechanics; Physics, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Fluid- and Aerodynamics;
• 出版者：Springer Berlin Heidelberg
• ISSN：1432-0673
• 卷排序：223

文摘

We construct examples of finite time singularity from smooth data for linear uniformly parabolic systems in the plane. We obtain similar examples for quasilinear systems with coefficients that depend only on the solution.