Nonstandard characteristics and localized asymptotic solutions of a linearized magnetohydrodynamic system with small viscosity and drag

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• 作者：A. I. Allilueva ; A. I. Shafarevich
• 关键词：magnetohydrodynamic equation ; nonstandard characteristic
• 刊名：Theoretical and Mathematical Physics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：190
• 期：1
• 页码：164-175
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Theoretical, Mathematical and Computational Physics; Applications of Mathematics;
• 出版者：Pleiades Publishing
• ISSN：1573-9333
• 卷排序：190

文摘

We describe asymptotic solutions of the Cauchy problem for a linearized system of magnetohydrodynamics with initial conditions localized in a small neighborhood of a curve or a two-dimensional surface. We investigate how a change of the multiplicity of characteristics affects such solutions and prove a uniform estimate of the residual.