Results 1 to 10 of about 2,522,381 (292)
Hertz elastic dynamics of two colliding elastic spheres
Results in Physics, 2021 This paper revisits a classic problem in physics — Hertz elastic dynamics of two colliding elastic spheres. This study obtains impact period in terms of hypergeometric function and successfully combines Deresiewicz’s three segmental solutions into one ...
B.H. Sun
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Spiked oscillators: exact solution [PDF]
, 2010 A procedure to obtain the eigenenergies and eigenfunctions of a quantum spiked oscillator is presented. The originality of the method lies in an adequate use of asymptotic expansions of Wronskians of algebraic solutions of the Schroedinger equation.
Aguilera-Navarro V C +26 more
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Exact Solution of selfconsistent Vlasov equation [PDF]
, 1997 An analytical solution of the selfconsistent Vlasov equation is presented. The time evolution is entirely determined by the initial distribution function. The largest Lyapunov exponent is calculated analytically.
Morawetz, K.
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Anisotropic Stars: Exact Solutions [PDF]
General Relativity and Gravitation, 2002 We study the effects of anisotropic pressure on the properties of spherically symmetric, gravitationally bound objects. We consider the full general relativistic treatment of this problem and obtain exact solutions for various form of equations of state connecting the radial and tangential pressures.
Dev, Krsna, Gleiser, Marcelo
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Anisotropic chiral cosmology: Exact solutions [PDF]
International Journal of Modern Physics D, 2021 In this work, we investigate the anisotropic Bianchi type I cosmological model in the chiral set-up in a twofold manner. Firstly, we consider a quintessence plus a [Formula: see text]-essence-like model, where two scalar fields but only one potential term is considered.
Díaz-Barrón, Luis Rey +3 more
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Asymmetric inflation: Exact solutions [PDF]
Physical Review D, 2006 We provide exact solutions to the Einstein equations when the Universe contains vacuum energy plus a uniform arrangements of magnetic fields, strings, or domain walls. Such a universe has planar symmetry, i. e., it is homogeneous but, not isotropic. Further exact solutions are obtained when dust is included and approximate solutions are found for $w ...
Buniy, Roman V. +2 more
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On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations [PDF]
Opuscula Mathematica, 2015 Using two concrete examples, we discuss the multisummability of WKB solutions of singularly perturbed linear ordinary differential equations. Integral representations of solutions and a criterion for the multisummability based on the Cauchy-Heine ...
Yoshitsugu Takei
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Exact Solutions in Modified Gravity Models
Entropy, 2012 We review the exact solutions in modified gravity. It is one of the main problems of mathematical physics for the gravity theory. One can obtain an exact solution if the field equations reduce to a system of ordinary differential equations. In this paper
Valery V. Obukhov, Andrey N. Makarenko
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Exact solution of the nuclear pairing problem [PDF]
, 2000 In many applications to finite Fermi-systems, the pairing problem has to be treated exactly. We suggest a numerical method of exact solution based on SU(2) quasispin algebras and demonstrate its simplicity and practicality.
Alexander Volya +43 more
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Graham's number stable digits: An exact solution [PDF]
Notes on Number Theory and Discrete MathematicsIn the decimal numeral system, we prove that the well-known Graham's number, G:=ⁿ3 (i.e., 3^{3^{...^{3}}} (n times)), and any base 3 tetration whose hyperexponent is larger than n share the same slog₃(G)-1 rightmost digits (where slog indicates the ...
Marco Ripà
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