A self-dual, localized solution to the classical SU(2) Yang-Mills equation in Euclidean spacetime, which formally possesses infinite action, is investigated in view of its U(1) charge content after Abelian projection. This is suggested by noting that the solution satisfies ’t Hooft’s differential projection condition away from the singularities. As a result the existence of dynamical, magnetic ...

An extension of a polynomial consists of the polynomial plus higher power terms. Given a polynomial with real coefficients and an integer larger than its degree, a method is given that produces a finite list of extensions of degree this larger integer such that this list necessarily contains the extension whose largest root is as small as possible. This extension is called the pole radius minim...

Thermodynamic properties of a Fermi system close to the unitarity limit, where the 2-body scattering length a approaches +/-infinity, are studied in the high temperature Boltzmann regime. For dilute systems the virial expansion coefficients in the Boltzmann regime are expected, from general arguments, to be universal. A model independent finite temperature T calculation of the third virial coef...

A 1-D analysis for the prediction of ejector performance at critical-mode operation is carried out in the present study. Constant-pressure mixing is assumed to occur inside the constant-area section of the ejector and the entrained flow at choking condition is analyzed. We also carried out an experiment using 11 ejectors and R141b as the working fluid to verify the analytical results. The test ...

For (possibly unstable) ODE systems with actuator delay, predictor-based infinite-dimensional feedback can compensate for actuator delay of arbitrary length and achieve stabilization.We extend this concept to another class of PDE-ODE cascades, where the infinite-dimensional part of the plant is of diffusive, rather than convective type. We derive predictor-like feedback laws and observers, with...

We study the existence theory for parabolic variational inequalities in weighted L spaces with respect to excessive measures associated with a transition semigroup. We characterize the value function of optimal stopping problems for finite and infinite dimensional diffusions as a generalized solution of such a variational inequality. The weighted L setting allows us to cover some singular cases...

The effect of the simultaneous presence of mono- and divalent cations on the thermodynamics of polyelectrolyte solutions is not fully understood. In physiological conditions, combinations of these ions affect structure formation in biopolymer systems. It is known that divalent counterions form a tight sheath around the polymer backbone, while monovalent ions are distributed in a diffuse cloud. ...

We study the existence theory for parabolic variational inequalities in weighted L spaces with respect to excessive measures associated with a transition semigroup. We characterize the value function of optimal stopping problems for finite and infinite dimensional diffusions as a generalized solution of such a variational inequality. The weighted L setting allows us to cover some singular cases...