Perturbation Propagation in a Thin Layer of a Viscosity-Stratified Fluid
- 作者: Kovtunenko P.1,2
-
隶属关系:
- Lavrent’ev Institute of Hydrodynamics SB RAS
- Novosibirsk State University
- 期: 卷 215, 编号 4 (2016)
- 页面: 499-509
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237632
- DOI: https://doi.org/10.1007/s10958-016-2854-6
- ID: 237632
如何引用文章
详细
We consider a nonlinear system of equations governing the motion of a viscosity-layered fluid with a free surface in long-wave approximation. Using the semi-Lagrangian coordinates, we rewrite the governing equations in the integro-differential form and obtain necessary and sufficient hyperbolicity conditions. We approximate the integro-differential model by a finite-dimensional system of differential conservation laws and propose a model of propagation of nonlinear perturbations in a viscosity-stratified fluid.
作者简介
P. Kovtunenko
Lavrent’ev Institute of Hydrodynamics SB RAS; Novosibirsk State University
编辑信件的主要联系方式.
Email: pkovtunenko@gmail.com
俄罗斯联邦, 15, pr. Akad. Lavrent’eva, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090