二维非自相似黎曼解的薄膜模型的完全可溶的抗表面活性剂溶液

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2022-05-26 DOI:10.1090/qam/1625

R. Barthwal, T. Raja Sekhar

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引用次数: 2

摘要

在本文中，我们构造了二维拟线性双曲守恒律系统的非自相似Riemann解，该系统描述了完全可溶的反表面活性剂溶液在薄膜中的流体流动。初始黎曼数据由两个不同的常态组成，这两个常态在x−y x-y平面上由一条光滑曲线分隔，因此在不使用自相似变换和降维的情况下，我们建立了五种不同情况的解。此外，我们考虑了所有可能的非线性波的相互作用，将初始不连续曲线作为抛物线，明确地发展了全局熵解的结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution

In this article, we construct non-self-similar Riemann solutions for a two-dimensional quasilinear hyperbolic system of conservation laws which describes the fluid flow in a thin film for a perfectly soluble anti-surfactant solution. The initial Riemann data consists of two different constant states separated by a smooth curve in x − y x-y plane, so without using self-similarity transformation and dimension reduction, we establish solutions for five different cases. Further, we consider interaction of all possible nonlinear waves by taking initial discontinuity curve as a parabola to develop the structure of global entropy solutions explicitly.

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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.