TWO-DIMENSIONAL NON-SELF-SIMILAR RIEMANN SOLUTIONS FOR A THIN FILM MODEL OF A PERFECTLY SOLUBLE ANTI-SURFACTANT SOLUTION

被引：6
作者：
Barthwal, Rahul [1 ]
Sekhar, T. Raja [1 ]
机构：
[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur, W Bengal, India
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2022年 / 80卷 / 04期
关键词：
Thin film flow; Non-self-similar solution; Riemann problem; Hyperbolic conser-vation laws; Wave interactions; VANISHING PRESSURE LIMIT; DELTA-SHOCK-WAVE; HYPERBOLIC SYSTEMS; CONSERVATION-LAWS; ENTROPY SOLUTIONS; VACUUM STATES; EXISTENCE; EQUATIONS; DRIVEN;
D O I：
10.1090/qam/1625
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we construct non-self-similar Riemann solutions for a twodimensional 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 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.
引用
收藏
页码：717 / 738
页数：22
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