Strongly non-linear Boussinesq-type model of the dynamics of internal solitary waves propagating in a multilayer stratified fluid
AA Chesnokov, VE Ermishina, VY Liapidevskii - Physics of Fluids, 2023 - pubs.aip.org
We propose a system of first-order balance laws that describe the propagation of internal
solitary waves in a multilayer stratified shallow water with non-hydrostatic pressure in the …
solitary waves in a multilayer stratified shallow water with non-hydrostatic pressure in the …
Hyperbolic model of internal solitary waves in a three-layer stratified fluid
A Chesnokov, V Liapidevskii - The European Physical Journal Plus, 2020 - Springer
We derive a new hyperbolic model describing the propagation of internal waves in a
stratified shallow water with a non-hydrostatic pressure distribution. The construction of the …
stratified shallow water with a non-hydrostatic pressure distribution. The construction of the …
Quasi-linear equations of dynamics of internal solitary waves in multilayer shallow water
VY Liapidevskii, AA Chesnokov… - Journal of Applied …, 2021 - Springer
A nonhomogeneous system of one-dimensional conservation laws is proposed, which
describes propagation of large-amplitude near-bottom (near-surface) internal waves in …
describes propagation of large-amplitude near-bottom (near-surface) internal waves in …
[PDF][PDF] Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation
We study the recently-proposed hyperbolic approximation of the Korteweg-de Vries
equation (KdV). We show that this approximation, which we call KdVH, possesses a rich …
equation (KdV). We show that this approximation, which we call KdVH, possesses a rich …
Approximation of arbitrarily high-order PDEs by first-order hyperbolic relaxation
DI Ketcheson, A Biswas - arXiv preprint arXiv:2405.16841, 2024 - arxiv.org
We present a framework for constructing a first-order hyperbolic system whose solution
approximates that of a desired higher-order evolution equation. Constructions of this kind …
approximates that of a desired higher-order evolution equation. Constructions of this kind …
[PDF][PDF] Квазилинейные уравнения динамики уединенных внутренних волн в многослойной мелкой воде
ВЮ Ляпидевский, АА Чесноков… - Прикладная механика и …, 2021 - sibran.ru
Предложена неоднородная система одномерных законов сохранения, описывающая в
приближении Буссинеска распространение придонных (приповерхностных) …
приближении Буссинеска распространение придонных (приповерхностных) …
Mixing layer and turbulent jet flow in a Hele–Shaw cell
A Chesnokov, V Liapidevskii - International Journal of Non-Linear …, 2020 - Elsevier
A plane turbulent mixing in a shear flow of an ideal homogeneous fluid confined between
two relatively close rigid walls is considered. The character of the flow is determined by …
two relatively close rigid walls is considered. The character of the flow is determined by …
A Hyperbolic Model of Strongly Nonlinear Waves in Two-Layer Flows of an Inhomogeneous Fluid
VE Ermishina - Journal of Applied and Industrial Mathematics, 2022 - Springer
We propose a mathematical model for the propagation of nonlinear long waves in a two-
layer shear flow of an inhomogeneous fluid with free boundary taking into account the …
layer shear flow of an inhomogeneous fluid with free boundary taking into account the …
Гиперболическая модель сильнонелинейных волн в двухслойных течениях неоднородной жидкости
ВЕ Ермишина - Сибирский журнал индустриальной математики, 2022 - mathnet.ru
Предложена математическая модель распространения нелинейных длинных волн в
двухслойном сдвиговом потоке неоднородной жидкости со свободной границей с …
двухслойном сдвиговом потоке неоднородной жидкости со свободной границей с …
Учредители: Институт математики им. СЛ Соболева СО РАН, Сибирское отделение РАН
ВЕ ЕРМИШИНА - СИБИРСКИЙ ЖУРНАЛ ИНДУСТРИАЛЬНОЙ …, 2022 - elibrary.ru
Предложена математическая модель распространения нелинейных длинных волн в
двухслойном сдвиговом потоке неоднородной жидкости со свободной границей с …
двухслойном сдвиговом потоке неоднородной жидкости со свободной границей с …