Proceeding from the new gravitation equations (Phys.Lett.A, v.156, p.404 (1991) ) we argue that the theory in principle allows equilibrium stable configurations of a degenerate electron or neutron gas with very large masses. Proceeding from the newtonian gravity law and Einstein’s equations

Abstract not found

treatment of bar mode instability in rigidly

of state, which keeps into account quantum, relativistic and electromagnetic effects, is applied to the study of equilibrium configurations of relativistic White Dwarfs. It is shown that numerical evaluation of such configuration leads, for the same central density ρc, to smaller values of radius R

Abstract It is shown that the ground-state equilibrium configurations of the trigonometric BCtype Ruijsenaars-Schneider systems are given by the zeros of Askey-Wilson polynomials.

Abstract This paper proposes a method to obtain the dynamic equilibrium configuration of a constrained mechanical system by using multibody dynamic analysis. Dynamic equilibrium equations with independent coordinates are derived from the time-dependent constraint equations and dynamic equations

In this article, under suitable assumptions, it is proved that $ \inf_{\u \in \calUlambda} E[\u]$ is dual to $\sup_{(a,b)} \{ \int_\Omega a(\F(\x)) d\x + \int_\Lambda b(\y) d\y\},$ where, $E[\u]:= \int_\Omega (h(\det D\u) -\F \cdot \u) d\x.$ Here, the infimum is performed over $\calUlambda$, the set of all orientation-preserving deformations $\u \in C^1(\Omega)^d$ that are homeomorphisms from $\bar \Omega$ onto $\bar \Lambda,$ and the supremum is performed over the set of all upper semicontinuous functions $a,b$ such that $a(\z) +\alpha b(\y) \leq h(\alpha) -\y \cdot \z.$ This duality result turns out to be important in the study of existence and uniqueness of smooth minimizers of E. Note that $M \rightarrow h(\det M)$ is not coercive and thus direct methods of the calculus of variations don't apply here.

The inverse scattering method is applied to the investigation of the equilibrium configuration of black holes. A study of the boundary problem corresponding to this configuration shows that any axially symmetric, stationary solution of the Einstein equations with disconnected event horizon must

Point vortex flows of a steady, two dimensional, inviscid, and incompressible fluid are studied for doubly connected geometries. The Routh function is explicitly constructed, and equilibrium configurations of vortices are found by determining critical points numerically. The numerical computations

When a metallic body is charged, the charges are all distributed on the surface of the body. The distribution of the charges are such that the potential energy is minimized or, equivalently, that the tangential net force on each particle is zero. We propose a project in which the equilibrium