We investigated theoretically and experimentally internal solitary waves (ISWs) in a two-
layer fluid system with a top free surface. Laboratory experiments are performed by lock …

The two-layer fluid system and the continuous density system are based on two typical
simplified stratification conditions to support the propagation of the internal solitary waves …

Abstract The Dubreil–Jacotin–Long (DJL) equation is an exact model for the steady
propagation of internal solitary waves (ISWs) under Boussinesq approximation. The aim of …

Flow over topography has been shown to generate finite amplitude internal waves
upstream, over the topography and downstream. Such waves can interact with the viscous …

We are interested in free surface flows where density variations coming eg from temperature
or salinity differences play a significant role in the hydrody-namic regime. In water, acoustic …

The present thesis deals with the modeling and numerical simulation of complex
geophysical flows. Two processes are studied: sediment transport, and variable density …

A steady problem of trapped solitary waves in supercritical flows of a stratified fluid over an
uneven bottom is considered. For gently slo** low-amplitude obstacles, a family of …

In the last chapter, we saw how making the assumption of a traveling wave of permanent
form allowed us to convert the stratified Euler equations (a system of PDEs) into a single …

Рассматривается стационарная задача о захваченных уединенных волнах в
сверхкритических течениях стратифицированной жидкости над неровным дном. Для …

This PhD thesis work studies the weak numerical solution of stochastic differential equations
(SDEs) with multiplicative noise and systems of forward-backward SDEs (FBSDEs), in a …