We first give a comprehensive review of the renormalization group method for global and asymptotic analysis, putting an emphasis on the relevance to the classical theory of envelopes and on the importance of the existence of invariant manifolds of the dynamics under consideration. We clarify that an essential point of the method is to convert the problem from solving differential equations to o...

The purpose of this paper is to obtain an indirect boundary integral formulation for the three-dimensional viscous flow problem in a granular material with a void. The corresponding existence and uniqueness result of the classical solution to this problem is proved by using the theory of hydrodynamic potentials.

One of the interesting features with the ellipsoidal models of anisotropy presented in this paper is their acceptance of analytical solutions for some of the basic elasticity problems. It was shown by Pouya (2000) and Pouya and Zaoui (2006) that many closed-form solutions for basic problems involving linear isotropic materials could be extended by linear transformation to cover a variety of “el...

We analyze the photometry of 117 OGLE stars with periodic transit events for the presence of ellipsoidal light variations, which indicate the presence of massive companions. We find that ∼ 50% of objects may have stellar companions, mostly among the short period systems. In our Table 1 we identify a coefficient of ellipsoidal variability for each star, a c2 , which can be used to select prime c...

5. M. A. Sadowsky and E. Sternberg, Elliptical integral representation of axially symmetric flows, Q. Appl. Math., 8, 113-126 (1950). 6. A. Weinstein, Discontinuous integrals and generalized potential theory, Transact. Amer. Math. Soc., 63, 342-354 (1948). 7. A. Weinstein, Transonic flow and generalized axially symmetric potential theory, Proc. Aeroball. Res. Symposia, Naval Ordnance Laboratory...

This paper presents the formulation of a flight clearance criterion as a convex optimization problem. The criterion is the stability margins criterion which is specified as an allowable phase and gain margin of a certain loop transfer function. The satisfaction of the criterion amounts to the Nichols plot of the loop transfer function being outside a specified trapezoidal region. It was shown p...