Results 61 to 70 of about 570,809 (200)

On the solution of a `solvable' model of an ideal glass of hard spheres displaying a jamming transition

, 2010
We discuss the analytical solution through the cavity method of a mean field model that displays at the same time an ideal glass transition and a set of jamming points.
Mezard, Marc, Parisi, Giorgio, Tarzia, Marco, Zamponi, Francesco   +3 more
core   +3 more sources

A New Efficient Algorithm to Solve Non-Linear Fractional Ito Coupled System and Its Approximate Solution

Walailak Journal of Science and Technology, 2014
The aim of the present article is to obtain the approximate analytical solution of time fractional Ito coupled equations by using the homotopy perturbation method. The fractional derivatives are described in the Caputo sense.
Sunil KUMAR
doaj   +1 more source

Approximate Calculation and Feature Analysis of Electric Field in Space by Thunderclouds

International Journal of Antennas and Propagation, 2021
The calculation of electric field in space excited by thunderclouds is an important basis for lightning warning and protection. In numerical calculation of the electromagnetic field, it is often necessary to perform multiple loop nesting calculations on ...
Lin Wang, Haojiang Wan, Yazhou Chen
doaj   +1 more source

On the equivalence of approximate stationary axially symmetric solutions of Einstein field equations

, 2016
We study stationary axially symmetric solutions of the Einstein vacuum field equations that can be used to describe the gravitational field of astrophysical compact objects in the limiting case of slow rotation and slight deformation.
Abishev, Medeu, Boshkayev, Kuantay, Quevedo, Hernando, Toktarbay, Saken, Zhami, Bakytzhan   +4 more
core   +1 more source

Numerical solution of the color superconductivity gap in a weak coupling constant [PDF]

, 2002
We present the numerical solution of the full gap equation in a weak coupling constant $g$. It is found that the standard approximations to derive the gap equation to the leading order of coupling constant are essential for a secure numerical evaluation ...
B. Barrois, D. Bailin, D.T. Son, H. Abuki, H. R. Jaqaman, I. Zakout, M.G. Alford, M.G. Alford, M.G. Alford, Q. Wang, R. Rapp, R.D. Pisarski, R.D. Pisarski, T. Schäfer, W. Greiner   +14 more
core   +2 more sources

Weak Pressure Gradient Approximation and Its Analytical Solutions [PDF]

Journal of the Atmospheric Sciences, 2012
Abstract A weak pressure gradient (WPG) approximation is introduced for parameterizing supradomain-scale (SDS) dynamics, and this method is compared to the relaxed form of the weak temperature gradient (WTG) approximation in the context of 3D, linearized, damped, Boussinesq equations.
openaire   +3 more sources

Comparison of Approximate Analytical and Numerical Solutions of the Allen Cahn Equation

International Journal of Differential Equations
Allen Cahn (AC) equation is highly nonlinear due to the presence of cubic term and also very stiff; therefore, it is not easy to find its exact analytical solution in the closed form.
Safdar Hussain, Fazal Haq, Abdullah Shah, Dilsora Abduvalieva, Ali Shokri   +4 more
doaj   +1 more source

The Electric Double Layer Structure Around Charged Spherical Interfaces

, 2012
We derive a formally simple approximate analytical solution to the Poisson-Boltzmann equation for the spherical system via a geometric mapping. Its regime of applicability in the parameter space of the spherical radius and the surface potential is ...
Israelachvili J., Loeb A. L., Mark J. Bowick, Ohshima H., Russel W. B., Verwey E. J. W., Weisstein E. W., Xu Ma, Zhenwei Yao   +8 more
core   +1 more source

Existence and Uniqueness Theorem for a Solution to a Class of a Third-Order Nonlinear Differential Equation in the Domain of Analyticity

Axioms, 2022
The paper considers the specifics of nonlinear differential equations that have applications in different areas. Earlier, the authors proved the existence and uniqueness theorem for a solution to a class of non-linear differential equations in a ...
Victor Orlov, Magomedyusuf Gasanov
doaj   +1 more source

Approximate solution to the CGHS field equations for two-dimensional evaporating black holes

, 2010
Callan, Giddings, Harvey and Strominger (CGHS) previously introduced a two-dimensional semiclassical model of gravity coupled to a dilaton and to matter fields.
Ori, Amos
core   +1 more source