Enviar artigo por via de e-mail Perturbation Propagation in a Thin Layer of a Viscosity-Stratified Fluid
- Autores: Kovtunenko P.1,2
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Afiliações:
- Lavrent’ev Institute of Hydrodynamics SB RAS
- Novosibirsk State University
- Edição: Volume 215, Nº 4 (2016)
- Páginas: 499-509
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237632
- DOI: https://doi.org/10.1007/s10958-016-2854-6
- ID: 237632
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Resumo
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.
Sobre autores
P. Kovtunenko
Lavrent’ev Institute of Hydrodynamics SB RAS; Novosibirsk State University
Autor responsável pela correspondência
Email: pkovtunenko@gmail.com
Rússia, 15, pr. Akad. Lavrent’eva, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090
