演化超曲面上随机系数的平流扩散方程

IF 1.2 4区数学 Q1 MATHEMATICS

Interfaces and Free Boundaries Pub Date : 2018-01-15 DOI:10.4171/IFB/391

A. Djurdjevac

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引用次数: 4

摘要

给出了运动超曲面上具有随机系数的平流扩散方程的分析。我们定义弱和强物质导数，也考虑到空间运动。然后定义了这类方程的解空间，即在运动域上定义的随机函数的bochner型空间。在适当的正则性假设下，证明了该方程解的存在唯一性，并给出了该方程解的一些正则性结果。

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Advection-diffusion equations with random coefficientson evolving hypersurfaces

We present the analysis of advection-diffusion equations with random coefficients on moving hypersurfaces. We define weak and strong material derivative, that take into account also the spacial movement. Then we define the solution space for these kind of equations, which is the Bochner-type space of random functions defined on moving domain. Under suitable regularity assumptions we prove the existence and uniqueness of solutions of the concerned equation, and also we give some regularity results about the solution.

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来源期刊

Interfaces and Free Boundaries 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Interfaces and Free Boundaries is dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems in all areas where such phenomena are pertinent. The journal aims to be a forum where mathematical analysis, partial differential equations, modelling, scientific computing and the various applications which involve mathematical modelling meet. Submissions should, ideally, emphasize the combination of theory and application.