Nonlinear stationary internal waves in a weakly stratified fluid

Abstract: We consider three classes of problems related to the construction and analysis of asymptotic solutions of the Euler equations for an inviscid inhomogeneous fluid.

1. Stationary solutions such as solitary- and periodic waves in a continuously stratified fluid, and their limiting regimes

2. Parametric families of solutions of the 2.5-layer model of nonlinear long waves and their applications in oceanology

3. Stationary wave structures and trapped solitary waves over an uneven bottom

mathematical physicsanalysis of PDEsclassical analysis and ODEsdynamical systemsnumerical analysisexactly solvable and integrable systemsfluid dynamics

Audience: researchers in the topic

Mathematical models and integration methods