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The fundamental solutions and the set of equations governing problems are determined in each case.
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The formulation of the governing problem is made using the modified Darcy law of a generalized Burgers fluid.
Through appropriate simplifications, the coupled eighth order differential equations governing the problem are degenerated into a set of uncoupled fourth order equations.
Then, singular perturbation solutions to the governing eigenvalue problem are derived that are valid up to and including order ϵ for any given non-zero hub radius.
The major aspects governing this problem are discussed in this paper.
The many parameters governing this problem are highly uncertain and random.
The highly non-linear differential equations with variable coefficients governing the problem are solved numerically using a Runge Kutta method.
The coupled nonlinear partial differential equations governing the problem are derived and solved numerically using a semi-implicit finite difference scheme.
Dimensionless parameters that govern the problem are identified.
The governing equations of the problems are obtained by using the Hamilton procedure.
Acoustics problems are governed by the linearized Euler equations.
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