Scaling in Nonlinear Parabolic Equations: Applications to Debye System

机译：非线性抛物方程的标度：在德拜系统中的应用

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The Cauchy problem for parabolic equations with quadratic nonlinearity is studied. We investigate the existence of global-in-time solutions and their large-time behaviour assuming some scaling property of the equation as well as of the norm of the Banach space in which the solutions are constructed. We apply these abstract results to the study of the Debye system arising in the theory of electrolytes.

机译：研究了具有二次非线性的抛物方程的柯西问题。我们研究全局及时解的存在及其长时间行为，并假设方程的某些缩放性质以及构造该解的Banach空间的范数。我们将这些抽象结果应用于研究电解质理论中的德拜系统。

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《International Conference on Disordered and Complex Systems; Jul 10-14, 2000; London, United Kingdom》|2000年|p.243-248|共6页
会议地点 London(GB)
作者
Grzegorz Karch;
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作者单位

Instytut Matematyczny, Uniwersytet Wroclawski pl. Grunwaldzki 2/4, 50-384 Wroclaw, POLAND;

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原文格式 PDF
正文语种 eng
中图分类 C9;
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Scaling in Nonlinear Parabolic Equations: Applications to Debye System

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