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On Masses of Equilibrium Configurations
"... 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 it is co ..."
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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
rotating equilibrium configurations for polytropic
, 2002
"... treatment of bar mode instability in rigidly ..."
Equilibrium configurations of relativistic White Dwarfs
, 2000
"... Summary. — The FeynmanMetropolisTeller treatment for compressed atoms [1] is here reconsidered in the framework of the relativistic generalised FermiThomas model, obtained by Ruffini et al. [13]. Physical properties of a zero temperature plasma is thus investigated and the resulting equation of s ..."
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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
On the Equilibrium Configuration of the BCtype RuijsenaarsSchneider System
 J. Nonlinear Math. Phys. 12 Suppl
"... Abstract It is shown that the groundstate equilibrium configurations of the trigonometric BCtype RuijsenaarsSchneider systems are given by the zeros of AskeyWilson polynomials. ..."
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Abstract It is shown that the groundstate equilibrium configurations of the trigonometric BCtype RuijsenaarsSchneider systems are given by the zeros of AskeyWilson polynomials.
Analysis of Dynamic Equilibrium Configuration of Speed Governor
, 2013
"... 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 timedependent constraint equations and dynamic equations of a ..."
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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 timedependent constraint equations and dynamic equations
Uniqueness of Equilibrium Configurations in Solid Crystals
 SIAM J. MATH. ANAL.
, 2000
"... 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 ..."
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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 orientationpreserving 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.
EQUILIBRIUM CONFIGURATION OF BLACK HOLES AND THE INVERSE SCATTERING METHOD ∗
, 2000
"... 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 belo ..."
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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
Equilibrium Configurations of Point Vortices in Doubly Connected Domains
 Eur. J. Mech., B/Fluids
, 1997
"... 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 m ..."
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Cited by 2 (2 self)
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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
Static equilibrium configurations of charged metallic bodies
, 2009
"... 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 configu ..."
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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
Results 1  10
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1,974