Completely discrete schemes for the inhomogeneous equation

2006 ◽  
pp. 106-125
Keyword(s):  
Inhomogeneous Equation

FRW viscous fluid cosmological model with time-dependent inhomogeneous equation of state

2017 ◽  
Vol 15 (01) ◽  
pp. 1830001 ◽  
Author(s):  
G. S. Khadekar ◽  
Deepti Raut
Keyword(s):  
Dark Energy ◽  
Equation Of State ◽  
Quadratic Form ◽  
State Parameter ◽  
The Other ◽  
Time Dependent ◽  
Inhomogeneous Equation ◽  
Field Equations ◽  
Equation Of State Parameter ◽  
Viscous Models

In this paper, we present two viscous models of non-perfect fluid by avoiding the introduction of exotic dark energy. We consider the first model in terms of deceleration parameter [Formula: see text] has a viscosity of the form [Formula: see text] and the other model in quadratic form of [Formula: see text] of the type [Formula: see text]. In this framework we find the solutions of field equations by using inhomogeneous equation of state of form [Formula: see text] with equation of state parameter [Formula: see text] is constant and [Formula: see text].

Stokes-multiplier expansion in an inhomogeneous differential equation with a small parameter

2005 ◽  
Vol 461 (2059) ◽  
pp. 2243-2256 ◽  
Author(s):  
E.I Ólafsdóttir ◽  
A.B Olde Daalhuis ◽  
J Vanneste
Keyword(s):  
Small Parameter ◽  
Gravity Waves ◽  
Homogeneous Solution ◽  
Boussinesq Equations ◽  
Inhomogeneous Equation ◽  
Stokes Phenomenon ◽  
Homogeneous Solutions ◽  
Inhomogeneous Solution ◽  
Type Construction ◽  
Special Solutions

Accurate approximations to the solutions of a second-order inhomogeneous equation with a small parameter ϵ are derived using exponential asymptotics. The subdominant homogeneous solutions that are switched on by an inhomogeneous solution through a Stokes phenomenon are computed. The computation relies on a resurgence relation, and it provides the ϵ -dependent Stokes multiplier in the form of a power series. The ϵ -dependence of the Stokes multiplier is related to constants of integration that can be chosen arbitrarily in the WKB-type construction of the homogeneous solution. The equation under study governs the evolution of special solutions of the Boussinesq equations for rapidly rotating, strongly stratified fluids. In this context, the switching on of subdominant homogeneous solutions is interpreted as the generation of exponentially small inertia–gravity waves.

A periodic problem for the inhomogeneous equation of string oscillations

1997 ◽  
Vol 49 (4) ◽  
pp. 618-627 ◽  
Author(s):  
Yu. A. Mitropol’skii ◽  
G. P. Khoma ◽  
P. V. Tsynaiko
Keyword(s):  
Periodic Problem ◽  
Inhomogeneous Equation

Solutions to an inhomogeneous equation involving infinity Laplacian

2012 ◽  
Vol 75 (14) ◽  
pp. 5693-5701 ◽  
Author(s):  
Fang Liu ◽  
Xiao-Ping Yang
Keyword(s):  
Inhomogeneous Equation ◽  
Infinity Laplacian

Investigation of the Mass Flow Sources in a Multi-Cylinder Compressor Using Frequency Response of Pressure Pulsations in the Suction Manifold

2003 ◽  
Author(s):  
Jeong-Il Park ◽  
Douglas E. Adams ◽  
Yoshinobu Ichikawa ◽  
Jacob Bayyouk
Keyword(s):  
Frequency Response ◽  
Mass Flow Rate ◽  
Mass Flow ◽  
Flow Rate ◽  
Wave Theory ◽  
Inhomogeneous Equation ◽  
Pressure Pulsations ◽  
Pole Parameter ◽  
Gas Pulsations ◽  
Thermodynamic Equations

Linear acoustic plane wave theory and a four pole parameter formulation are used to derive and solve the governing inhomogeneous equation for the forced pressure response in the simplified manifold model. The equations for estimating gas pressure pulsations in the annular cavity connected to an anechoic inlet pipe are presented. Complicated interactions between multiple cylinder valve ports in the suction manifold produce unexpected changes in the frequency response conditions for changes in the operating speed, and hence, the flow rate characteristics through the valves. From the addition of the delayed time for opening valve in the mass flow rate profiles and the comparison of the gas pulsations from experiment with those from simulation, the maximum strokes of the piston and the delayed times for opening valve can be estimated without solving the valve dynamic and thermodynamic equations. By applying the mass flow rate sinks at each valve as identified, the correlation between analytical and experimental results is shown to be much better than if the idealized, kinematically obtained source functions are used instead.

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