In the present article we consider the problem of wave interaction with a partially immersed,
but floating body. We assume that the motion of the body is prescribed. The general …

A new regularisation of the shallow water (and isentropic Euler) equations is proposed. The
regularised equations are non-dissipative, non-dispersive and posses a variational …

Recently, a Hamiltonian regularised shallow water (Saint-Venant) system has been
introduced by Clamond and Dutykh (2018). This system is Galilean invariant, linearly non …

We consider a Leray-type regularization of the compressible Euler equations for an
isothermal gas. The regularized system depends on a small parameter α> 0. Using Riemann …

In this paper we study the global controllability of families of the so called non-viscous and
viscous Burgers-α systems by using boundary and space independent distributed controls …

This paper examines an averaging technique in which the nonlinear flux term is expanded
and the convective velocities are passed through a low-pass filter. It is the intent that this …

This paper is devoted to a scalar conservation law with a linear flux function involving
discontinuous coefficients. It is clear that the delta standing wave should be introduced into …

This paper examines the properties of the homentropic Euler equations when the
characteristics of the equations have been spatially averaged. The new equations are …

In this dissertation, boundary stabilization of a linear hyperbolic system of balance laws is
considered. Of particular interest is the numerical boundary stabilization of such systems. An …

This thesis studies a regularization of the classical Saint-Venant (shallow-water) system,
namely the regularized shallow-water (Airy or Saint-Venant) system, recently introduced by …