Email this article Perturbation Propagation in a Thin Layer of a Viscosity-Stratified Fluid
- Authors: Kovtunenko P.V.1,2
-
Affiliations:
- Lavrent’ev Institute of Hydrodynamics SB RAS
- Novosibirsk State University
- Issue: Vol 215, No 4 (2016)
- Pages: 499-509
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237632
- DOI: https://doi.org/10.1007/s10958-016-2854-6
- ID: 237632
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
P. V. Kovtunenko
Lavrent’ev Institute of Hydrodynamics SB RAS; Novosibirsk State University
Author for correspondence.
Email: pkovtunenko@gmail.com
Russian Federation, 15, pr. Akad. Lavrent’eva, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090
