Propagation of perturbations in thin capillary film equations with nonlinear diffusion and convection

R. M. Taranets

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Propagation of perturbations in thin capillary film equations with nonlinear diffusion and convection

机译：具有非线性扩散和对流的毛细管薄膜方程中摄动的传播

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摘要

We study the evolution of the support of an arbitrary strong generalized solution to the Cauchy problem for the thin film equation with nonlinear diffusion and convection. We find an upper bound exact (in a sense) for the propagation speed of the support of this solution.

机译：我们研究了具有非线性扩散和对流薄膜方程的柯西问题的任意强广义广义解的支持演化。我们找到了该解决方案支持的传播速度的上限（在某种意义上）。

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来源
《Siberian Mathematical Journal》 |2006年第4期|共16页
作者
R. M. Taranets;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
thin film equation; convection; Cauchy problem; support propagation;

机译：薄膜方程;对流;粘性问题;支撑传播;

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专利

1. Propagation of perturbations in thin capillary film equations with nonlinear diffusion and convection [J] . R. M. Taranets Siberian Mathematical Journal . 2006,第4期

机译：具有非线性扩散和对流的毛细管薄膜方程中摄动的传播
2. Analytical approximate solutions of the fractional convection-diffusion equation with nonlinear source term by He's homotopy perturbation method [J] . Momani S., Yildirim A. International journal of computer mathematics . 2021,第5a8期

机译：作者：张莹莹，王莹，王莹，王莹，他
3. Analytical approximate solutions of the fractional convection-diffusion equation with nonlinear source term by He's homotopy perturbation method [J] . Shaher Momani, Ahmet Yildirim International journal of computer mathematics . 2010,第4a6期

机译：用He's同伦扰动法求解带有非线性源项的分数对流扩散方程的解析近似解
4. A perturbational exact numerical solution scheme for convective-diffusion equation [C] . Gao Zhi, Hu Lmin Proceedings of The Fourth Asian Computational Fluid Dynamics Conference September 18-22, 2000 Mianyang, China Edited by Zhang Hanxin . 2000

机译：对流扩散方程的摄动精确数值解方案
5. Behavior of a one-dimensional nonlinear flux-limited diffusion equation and finite speed of propagation. [D] . Ahmed, Saleem. 2011

机译：一维非线性通量限制扩散方程的行为和有限的传播速度。
6. Edge-based nonlinear diffusion for finite element approximations of convection–diffusion equations and its relation to algebraic flux-correction schemes [O] . Gabriel R. Barrenechea, Erik Burman, Fotini Karakatsani -1

机译：对流扩散方程有限元逼近的基于边缘的非线性扩散及其与代数通量校正方案的关系
7. Application of Homotopy Perturbation Method in Nonlinear Heat Diffusion-Convection-Reaction Equations [O] . N. Tolou, D.D. Ganji, M. J. Hosseini, 2007

机译：同型扰动法在非线性热扩散 - 对流反应方程中的应用

Propagation of perturbations in thin capillary film equations with nonlinear diffusion and convection

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