Of concern are solutions of the classical wave equation in three-dimensions. It is shown that if a solution has compact support then after a finite time the kinetic energy of the wave is constant and equals the potential energy. The proof employs the Paley-Wiener theorem of Fourier analysis. Prepared under Research Grant DA AROD 31-124-G68O Army Research Office, Durham, North Carolina.

All living cells have a membrane which separates inside the cell from it's outside. There is a potential difference between inside and outside of the cell. This potential difference will change during an action potential. It is quite common to peruse action potentials of skeletal muscle fibers with the Hodgkin-Huxley model. Since Hodgkin and Huxley summarized some controlling currents like inwa...

This paper presents the basic concepts of stability in fuzzy linguistic models. Theauthors have proposed a criterion for BIBO stability analysis of fuzzy linguistic modelsassociated to linear time invariant systems [25]-[28]. This paper presents the basic concepts ofstability in the general nonlinear and linear systems. This stability analysis method is verifiedusing a benchmark system analysis.

Here, we intend to introduce an invariant bipolar representation for curved surfaces based on the superposition of the two geodesic potentials defined from two given reference points on the surface. By considering a levels set of such geodesic potentials, a finite set of invariant points under 3D motion group is obtained. We propose to compare two different numerical algorithms which compute th...

Abstract. We study the linear stability of flock and mill ring solutions of two individual based models for biological swarming. The individuals interact via a nonlocal interaction potential that is repulsive in the short range and attractive in the long range. We relate the instability of the flock rings with the instability of the ring solution of the first order model. We observe that repuls...

In the minimal supersymmetric standard model the decay h 0 → A 0 A 0 of the light neutral scalar h 0 is kinematically allowed for low values of tan β when radiative corrections to the neutral Higgs masses are taken into account. The width of this decay mode is revisited on the basis of a complete 1-loop diagrammatic calculation. We give the analytical expressions and numerical results and compa...

The Bidomain model is nowadays one of the most accurate mathematical descriptions of the action potential propagation in the heart. However, its numerical approximation is in general fairly expensive as a consequences of the mathematical features of this system. In this paper we analyze an Optimized Schwarz approach for the numerical solution of the Bidomain problem. The convergence of the iter...