In this review, we describe several approximations in the theory of Laplacian transport near
complex or heterogeneously reactive boundaries. This phenomenon, governed by the …

We derive an approximate formula for the mean first-passage time (MFPT) to a small
absorbing target of arbitrary shape inside an elongated domain of a slowly varying …

The most commonly used metal alloys for manufacturing coronary artery stents platforms are
316 L stainless steel, cobalt‐chromium, tantalum, and titanium alloys. Cobalt‐based alloys …

The problem of survival of a Brownian particle diffusing on a disk with a reflective boundary
that has two absorbing arcs is treated analytically. The framework of boundary …

We derive an approximate but fully explicit formula for the mean first-passage time (MFPT) to
a small absorbing target of arbitrary shape in a general elongated domain in the plane. Our …

This article provides an overview of resonance phenomena in wave scattering by infinite
and semi-infinite periodic arrays of small cylindrical scatterers, in the context of Foldy's …

Analytical methods are fundamental in studying acoustics problems. One of the important
tools is the Wiener-Hopf method, which can be used to solve many canonical problems with …

Spiky coatings (also known as nanoforests or Fakir-like surfaces) have found many
applications in chemical physics, material sciences, and biotechnology, such as …

Time-harmonic waves propagate along a cylindrical waveguide in which there is an
obstacle. The problem is to calculate the reflection and transmission coefficients. Simple …

This article considers the problem of diffraction by a wedge consisting of two semi-infinite
periodic arrays of point scatterers. The solution is obtained in terms of two coupled systems …