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Practical analytical solutions for benchmarking of 2-D and 3-D geodynamic Stokes problems with variable viscosity
Practical analytical solutions benchmarking of 2-D and 3-D geodynamic Stokes problems variable viscosity
2015/1/6
Geodynamic modeling is often related with challenging computations involving solution of the Stokes and continuity equations under the condition of highly variable viscosity. Based on a new analytical...
Solitary waves and their stability in colloidal media: semi-analytical solutions
colloid solitary wave modulation theory stability bifurcation
2012/4/20
Spatial solitary waves in colloidal suspensions of spherical dielectric nanoparticles are considered. The interaction of the nanoparticles is modelled as a hard-sphere gas, with the Carnahan-Starling ...
Comparative Study of Analytical Solutions for Time-Dependent Solute Transport Along Unsteady Groundwater Flow in Semi-infinite Aquifer
Solute Transport Unsteady Aquifer Analytical Solutions
2013/3/7
A comparative study is made among Laplace Transform Technique (LTT) and Fourier Transform Technique (FTT) to obtain one-dimensional analytical solution for conservative solute transport along unsteady...
Geodesics of electrically and magnetically charged test particles in the Reissner-Nordström space-time: analytical solutions
Geodesics of electrically magnetically charged test particles
2010/12/20
We present the full set of analytical solutions of the geodesic equations of charged test particles in the Reissner-Nordstr¨om space-time in terms of the Weierstraß }, and elliptic functions...
Scaling Function, Universality and Analytical Solutions of Generalized One-Species Population Dynamics Models
Scaling Function Universality Analytical Solutions Generalized One-Species Population Dynamics Models
2010/11/16
We consider several one-species population dynamics model with finite and infinite carrying capacity, time dependent growth and effort rates and solve them analytically. We show that defining suitable...
A sequence of analytical solutions explore the spectrum of response patterns expected for unsteady elastic-compressible flow in pipes. Complete analytical details of the solutions are provided, togeth...
Diverging Overland Flow 1.Analytical Solutions
Diverging Overland Flow Analytical Solutions
2009/10/28
Kinematic wave theory is utilized to investigate diverging overland flow which
does not appear to have been previously investigated in watershed hydrology.
This paper is the first in a sequel of two...
ANALYTICAL SOLUTIONS FOR WELL DRAWDOWN WITH WELL LOSSES 1. MULTIPLE WELL SYSTEM NEAR A BOUNDARY
WELL DRAWDOWN water level WELL LOSSES
2009/10/12
This paper deals with two cases. The first case concerns a solution for the drawdown in a given well which makes it possible to monitor and/or model the drawdown in other wells in the system and deter...
Comment on "Comparisons with analytical solutions from Khvorostyanov and Curry (2007) on the critical droplet radii and supersaturations of CCN with insoluble fractions" by Kokkola et al. (2008)
analytical solutions Khvorostyanov critical droplet radii CCN
2009/8/25
Analytical solutions for the critical radii and supersaturations of the cloud condensation nuclei (CCN) with insoluble fractions were derived by Khvorostyanov and Curry (2007, hereafter KC07). These s...
Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials
Any l-state quasi-exact solutions Klein-Gordon equation vector Hulthen potentials
2010/4/7
We present a new approximation scheme for the centrifugal term to obtain a quasi-exact analytical bound state solutions within the framework of the position-dependent effective mass radial Klein-Gordo...
Analytical Solutions for Circular Eddies of the Reduced-Gravity, Shallow-Water Equations
Circular Eddies Shallow-Water Equations Reduced-Gravity
2008/10/29
New analytical, circular eddy solutions of the nonlinear, reduced-gravity, shallow-water equations in a rotating system are presented. While previous analytical solutions were limited to the descripti...
Analytical solutions for the surface response to small amplitude perturbations in boundary data in the shallow-ice-stream approximation
Analytical solutions surface response amplitude perturbations boundary data
2010/2/4
New analytical solutions describing the effects of small-amplitude perturbations in boundary data on flow in the shallow-ice-stream approximation are presented. These solutions are valid for a non-lin...
Exact Analytical Solutions in Bose-Einstein Condensates with Time-Dependent Atomic Scattering Length
NLS equation soliton symbolic computation
2007/8/15
2007Vol.47No.1pp.143-148DOI:
Exact Analytical Solutions in Bose-Einstein Condensates with Time-Dependent Atomic Scattering Length
CHEN Yong,1,3 LI Biao,1,3 and ZHENG Yu2
...
On Direct Transformation Approach to Asymptotical
Analytical Solutions of Perturbed Partial Differential Equation
perturbed partial differential equation
asymptotical analytical solution Lie-Bä cklund symmetries
2007/8/15
2006Vol.46No.4pp.587-590DOI:
On Direct Transformation Approach to Asymptotical
Analytical Solutions of Perturbed Partial Differential Equation
LIU Hong-Zhun, PAN Zu-Liang, and LI ...
Exact Analytical Solutions to the Two-Mode Mean-Field Model Describing Dynamics of a Split Bose-Einstein
Condensate
split Bose-Einstein condensate mean-field model exact analytical solutions
2007/8/15
2002Vol.37No.4pp.413-418DOI:
Exact Analytical Solutions to the Two-Mode Mean-Field Model Describing Dynamics of a Split Bose-Einstein
Condensate
WU Ying1,2 and YANG Xiao-Xue1
...