On the steady Prandtl type equations with magnetic effects arising from 2D incompressible MHD equations in a half plane
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5080473
Abstract: In this paper, we study a steady Prandtl type boundary layer system of equations, which is derived from the two-dimensional incompressible magnetohydrodynamics equations without magnetic diffusion under the no-slip boundary condition. By the classical von… read more here.
Keywords: steady prandtl; system; prandtl type; field ... See more keywords
Some effective solutions for Prandtl's type integro-differential equation
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DOI: 10.22541/au.164191315.56723958/v1
Abstract: Prandtl’s type integro-differential equations with a different coefficient are investigated. Using the methods of the theory of analytic functions and integral transformations, the singular integro-differential equation is reduced to boundary value problems of the theory… read more here.
Keywords: type integro; integro differential; differential equation; effective solutions ... See more keywords
Hypersingular Integral Equations of Prandtl's Type: Theory, Numerical Methods, and Applications
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DOI: 10.3390/axioms11120705
Abstract: In this paper, we propose and justify a spline-collocation method with first-order splines for approximate solution of nonlinear hypersingular integral equations of Prandtl’s type. We obtained the estimates of the convergence rate and the method… read more here.
Keywords: hypersingular integral; type theory; equations prandtl; prandtl type ... See more keywords