We examine the stability and decay of the free boundary perturbations in a Hele-Shaw cell under the injection of fluid. In particular, we study the perturbations of spherical boundaries as time t ! C1. In the presence of positive surface tension, we examine both slow and fast injection rates. When fluid is injected slowly, the perturbations decay back to an expanding sphere exponentially fast, ...

This article reviews eight proposed strategies for solving the Symbol Grounding Problem (SGP), which was given its classic formulation in Harnad (1990). After a concise introduction, we provide an analysis of the requirement that must be satisfied by any hypothesis seeking to solve the SGP, the zero semantical commitment condition. We then use it to assess the eight strategies, which are organi...

After the fuzziness in Europe that surrounded the implementation of the excessive deficit procedure foreseen by the Stability and Growth Pact (SGP), the European Union had to restore the credibility of the weakened fiscal rule. On March 2005, the 25 members amended the SGP. The constraint was to keep alive the Treaty of Amsterdam, which instituted the SGP. Indeed, an attempt to make major chang...

The paper is concerned with the bifurcation of limit cycles in general quadratic perturbations of a quadratic reversible and non-Hamiltonian system, whose period annulus is bounded by an elliptic separatrix related to a singularity at infinity in the poincar'{e} disk. Attention goes to the number of limit cycles produced by the period annulus under perturbations. By using the appropriate Picard...

This study explores how buoyancy-driven modulations in the abyssal overturning circulation affect Southern Ocean temperature and salinity in an eddy-permitting ocean model. Consistent with previous studies, the modeled surface ocean south of 508S cools and freshens in response to enhanced surface freshwater fluxes. Paradoxically, upper-ocean cooling also occurs for small increases in the surfac...

We consider random extended surface perturbations in the transverse field Ising model decaying as a power of the distance from the surface towards a pure bulk system. The decay may be linked either to the evolution of the couplings or to their probabilities. Using scaling arguments, we develop a relevance-irrelevance criterion for such perturbations. We study the probability distribution of the...

It is shown that if a capillary surface satisfies conditions relating to the eigenvalues of a certain differential operator, then the surface is a constrained strict local minimum for the relevant energy functional. The space of perturbations of the surface is first defined in terms of graphs of functions in curvilinear coordinates and then related to perturbations of capillary surfaces which a...

Surface emissivity is critical for remote sensing of surface skin temperature and infrared cloud properties when the observed radiance is influenced by the surface radiation. It is also necessary to correctly compute the longwave flux from a surface at a given skin temperature. Surface emissivity is difficult to determine because skin temperature is an ill-defined parameter. The surface-emitted...