Exact and asymptotic solutions to magnetohydrodynamic flow over a nonlinear stretching sheet with a power-law velocity by the homotopy renormalization method
Sign Up to like & getrecommendations! Published in 2019 at "Physics of Fluids"
DOI: 10.1063/1.5100305
Abstract: We apply an asymptotic analysis to a nonlinear magnetohydrodynamic boundary-layer flow over a nonlinear stretching sheet with two types of boundary conditions: slip and no-slip. The original partia... read more here.
Keywords: stretching sheet; nonlinear stretching; flow nonlinear; asymptotic solutions ... See more keywords
Analytic solutions for effective elastic moduli of isotropic solids containing oblate spheroid pores with critical porosity
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DOI: 10.1111/1365-2478.13608
Abstract: Accurate characterization for effective elastic moduli of porous solids is crucial for better understanding their mechanical behaviour and wave propagation, which has found many applications in the fields of engineering, rock physics and exploration geophysics.… read more here.
Keywords: elastic moduli; asymptotic solutions; solutions effective; critical porosity ... See more keywords
Regularized Asymptotic Solutions of Singularly Perturbed Integral Equations with Two Independent Variables
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DOI: 10.1134/s0012266119020101
Abstract: Lomov’s regularization method is generalized to singularly perturbed integral equations with one-fold and multiple integral operators. We consider the case in which the kernel of the one-fold integral only depends on the time variable and… read more here.
Keywords: integral equations; singularly perturbed; regularized asymptotic; perturbed integral ... See more keywords
Regularized Asymptotic Solutions of a Singularly Perturbed Fredholm Equation with a Rapidly Varying Kernel and a Rapidly Oscillating Inhomogeneity
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DOI: 10.3390/axioms11030141
Abstract: This article investigates an equation with a rapidly oscillating inhomogeneity and with a rapidly decreasing kernel of an integral operator of Fredholm type. Earlier, differential problems of this type were studied in which the integral… read more here.
Keywords: rapidly oscillating; oscillating inhomogeneity; operator; type ... See more keywords
Family of Asymptotic Solutions to the Two-Dimensional Kinetic Equation with a Nonlocal Cubic Nonlinearity
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DOI: 10.3390/sym14030577
Abstract: We apply the original semiclassical approach to the kinetic ionization equation with the nonlocal cubic nonlinearity in order to construct the family of its asymptotic solutions. The approach proposed relies on an auxiliary dynamical system… read more here.
Keywords: equation; equation nonlocal; family asymptotic; kinetic equation ... See more keywords