After reviewing the background, this article discusses the recently discovered examples of hybrid propagating structures consisting of vortex dipoles and comoving gravity waves undergoing wave capture. It is shown how these examples fall outside the scope of the Lighthill theory of spontaneous imbalance and, concomitantly, outside the scope of shallow-water dynamics. Besides the fact that going...

[This corrects the article on p. 386 in vol. 6, PMID: 20628499.].

Preface In our course we will consider the volume integral equations in the following form) () () () () () (x f dy y u y b y x y x K x u x a Q m = − − + ∫ , 3 ≤ m. Many important classes of the wave scattering problems can be described by equations of this form; for example, this is the case for problems of electromagnetic and acoustic scattering on 3D transparent bodies. The corresponding inte...

We show that the integral foliated simplicial volume of a connected compact oriented smooth manifold with regular foliation by circles vanishes.

We show that non-elliptic prime 3-manifolds satisfy integral approximation for the simplicial volume, is, their volume equals stable volume. The proof makes use of foliated and tools from ergodic theory.

This paper is an introduction to the special issue of the Journal of Engineering Mathematic (Volume 47/3–4, 2003) on the mathematical modelling of the cardiovascular system. This issue includes the 2003 James Lighthill Memorial Paper written by Pedley [1] on the mathematical modelling of arterial fluid dynamics. This introduction is written to bring cardiovascular biomechanics to readers with a...

The classical integral means of a holomorphic function f in the unit disk are defined by [ 1 2π ∫ 2π 0 |f(re)| dθ ]1/p , 0 ≤ r < 1. These integral means play an important role in modern complex analysis. In this note we consider integral means of holomorphic functions in the unit ball Bn in C with respect to weighted volume measures, Mp,α(f, r) = [ 1 vα(rBn) ∫ rBn |f(z)| dvα(z) ]1/p , 0 ≤ r < 1...

In contrast to computational aerodynamics, which has advanced to a fairly mature state, computational aeroacoustics (CAA) has only recently emerged as a separate area of study. Following a discussion of the classical field of aeroacoustics as introduced by Lighthill, the paper provides an overview and analysis of the problems associated with utilizing standard computational aerodynamics procedu...