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System of Equations for the Marangoni Boundary Layer in Media with Ladyzhenskaya Rheological Law
Doklady Mathematics ( IF 0.6 ) Pub Date : 2021-08-31 , DOI: 10.1134/s1064562421030091 M. A. Kisatov 1
中文翻译:
具有 Ladyzhenskaya 流变定律的介质中 Marangoni 边界层的方程组
更新日期:2021-09-01
Doklady Mathematics ( IF 0.6 ) Pub Date : 2021-08-31 , DOI: 10.1134/s1064562421030091 M. A. Kisatov 1
Affiliation
Abstract
A system of equations describing boundary layers of nonlinear generalized Newtonian viscous fluids with the Ladyzhenskaya rheological law is studied. The well-posedness of the stated problem is proved by applying the von Mises transformation method, which transforms the system of boundary layer equations into a quasilinear degenerate parabolic equation.
中文翻译:
具有 Ladyzhenskaya 流变定律的介质中 Marangoni 边界层的方程组
摘要
研究了用Ladyzhenskaya 流变定律描述非线性广义牛顿粘性流体边界层的方程组。应用von Mises变换方法证明了所述问题的适定性,该方法将边界层方程组转化为拟线性退化抛物线方程。