The effects of boundary roughness on the MHD duct flow with slip hydrodynamic condition

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Partial functional-differential equations (35R10) Analyticity in context of PDEs (35A20) Magnetohydrodynamics and electrohydrodynamics (76W05)

Cites Work

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MHD duct flows under hydrodynamic ``slip condition
The Neumann problem in thin domains with very highly oscillatory boundaries
Semilinear parabolic problems in thin domains with a highly oscillatory boundary
Fundamental solution for coupled magnetohydrodynamic flow equations
The boundary-value problem in domains with very rapidly oscillating boundary
Domain perturbation for elliptic equations subject to Robin boundary conditions
DRBEM solution of the Cauchy MHD duct flow with a slipping perturbed boundary
Reaction of the fluid flow on time-dependent boundary perturbation
Why viscous fluids adhere to rugose walls: A mathematical explanation.
Very rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a non uniformly Lipschitz deformation
MHD flow through a perturbed channel filled with a porous medium
Concentrated reaction terms on the boundary of rough domains for a quasilinear equation
MHD flow in a rectangular duct with a perturbed boundary
On the non-isothermal, non-Newtonian Hele-Shaw flows in a domain with rough boundary
A nonlinear elliptic problem with terms concentrating in the boundary
An analytical solution to electromagnetically coupled duct flow in MHD
Direct Methods in the Theory of Elliptic Equations
Numerical investigation of a laminar pulsating flow in a rectangular duct
Effects of small boundary perturbation on the MHD duct flow
ASYMPTOTIC BEHAVIOR OF A VISCOUS FLUID WITH SLIP BOUNDARY CONDITIONS ON A SLIGHTLY ROUGH WALL
Magnetohydrodynamic flow in rectangular ducts
RAPIDLY VARYING BOUNDARIES IN EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS: THE CASE OF A LIPSCHITZ DEFORMATION
Magnetohydrodynamic flow in a rectangular duct
Effects of small boundary perturbation on flow of viscous fluid

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