Page 1 Mathematical Surveys and Monographs Volume 188 The Water Waves Problem
Mathematical Analysis and Asymptotics David Lannes American Mathematical Society Page 2 …

In this paper, we prove the existence of global weak solutions for 3D compressible Navier–
Stokes equations with degenerate viscosity. The method is based on the Bresch and …

These notes are devoted to the study of some problems related to shallow-water equations.
In particular, we will review results from derivations of shallow-water systems which depend …

This paper concerns the existence of global weak solutions to the barotropic compressible
Navier-Stokes equations with degenerate viscosity coefficients. We construct suitable …

This article studies the feedback stabilization problem of the motion of a tank that contains
an incompressible, Newtonian, viscous liquid. The control input is the force applied on the …

The purpose of this paper is to provide a consistent thin layer theory for some Non-
Newtonian fluids that are incompressible and flowing down an inclined plane under the …

This is the first of a series of papers devoted to the initial value problem for the one‐
dimensional Euler system of compressible fluids and augmented versions containing higher …

We solve the output-feedback stabilization problem for a tank with a liquid modeled by the
viscous Saint-Venant PDE system. The control input is the acceleration of the tank and a …

This paper studies the linearization of the viscous tank–liquid system. The linearization of
the tank–liquid system gives a high-order partial differential equation, which is a …

We solve the feedback stabilization problem for a tank, with friction, containing a liquid
modeled by the viscous Saint-Venant system of Partial Differential Equations. A spill-free …