A capillary surface is an interface between two fluids whose shape is determined primarily
by surface tension. Sessile drops, liquid bridges, rivulets, and liquid drops on fibers are all …

An overview of various aspects related to the spectral and nonlinear stability of travelling-
wave solutions to partial differential equations is given. The point and the essential spectrum …

We consider the stability of multi‐or n‐soliton solutions to the Korteweg‐de Vries equation
(KdV) posed on the real line. It is shown that in the standard variational characterization of …

The nonlinear dispersive partial differential equation utt= uxx− uxxxx−(u2) xx(1. 1) is
sometimes known as the “good” Boussinesq equation since it agrees with the classical …

The Kirchhoff-Love equations governing the spatial equilibria of long thin elastic rods
subject to end tension and moment are reviewed and used to examine the existence of …

We examine relative equilibria of a rigid body free to rotate about its center of mass which is
constrained to follow a Keplerian orbit in a central gravitational field. We derive a …

It is shown that for an appropriate class of dissipatively perturbed Hamiltonian systems, the
number of unstable modes of the dynamics linearized at a nondegenerate equilibrium is …

Requirements have existed for several decades for highly accurate satellite orbits. With
increased computer power, simplified analytical techniques have lost most of their …

We will study the existence and stability of periodic travelling‐wave solutions of the
nonlinear one‐dimensional Boussinesq‐type equation Φtt− Φxx+ aΦxxxx− bΦxxtt+ ΦtΦxx+ …

It is shown that a uniform and hyperelastic, but otherwise arbitrary, nonlinear Cosserat rod
has helices as the centerline of equilibrium configurations. For anisotropic rods, and for each …