Results 21 to 30 of about 560,487 (264)
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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Results in Physics, 2023 Numerous scientific fields depend on precise solutions, which can be obtained for nonlinear partial differential equations (PDEs) through various techniques. It is important to note that solutions obtained through different approaches can vary.
Saqib Khaliq +5 more
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Exact solutions to supergravity [PDF]
Nuclear Physics B, 1997 18 pages, latex, uses a4.sty, no ...
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In search of exact solutions [PDF]
Nature, 2001 Many-body systems, such as electrons flowing in a superconductor, are among the most difficult theoretical problems to study. A new family of exactly solvable models may offer some answers.
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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 and Exotic Fluid in Cosmology
Entropy, 2012 We investigate cosmological consequences of nonlinear sigma model coupled with a cosmological fluid which satisfies the continuity equation. The target space action is of the de Sitter type and is composed of four scalar fields.
Phillial Oh, Taeyoon Moon, Seyen Kouwn
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An exact interior Kerr solution [PDF]
New Astronomy, 2018 We present a simple exact solution for the interior of a rotating star. The interpretation of the stress energy tensor as that of a fluid requires the existence of a high viscosity, which is quite expected for a rotating fluid. In spite of the negative stresses, energy conditions are in fact all satisfied.
Ravi, Aravind P, Banerjee, Narayan
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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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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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