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- W4293451696 abstract "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<inline-formula content-type=math/mathml><mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=x minus y><mml:semantics><mml:mrow><mml:mi>x</mml:mi><mml:mo>−<!-- − --></mml:mo><mml:mi>y</mml:mi></mml:mrow><mml:annotation encoding=application/x-tex>x-y</mml:annotation></mml:semantics></mml:math></inline-formula>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." @default.
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- W4293451696 date "2022-05-26" @default.
- W4293451696 modified "2023-10-16" @default.
- W4293451696 title "Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution" @default.
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- W4293451696 doi "https://doi.org/10.1090/qam/1625" @default.
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