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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 9
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Original Articles

Existence of solutions to the nonhomogeneous steady Magnetohydrodynamic equations

Pages 1600-1610 | Received 24 Feb 2017, Accepted 19 Apr 2017, Published online: 04 May 2017

References

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  • Amick CJ . Existence of solutions to the nonhomogeneous steady Navier--Stokes equations. Indiana Univ Math J. 1984;33:817–830.
  • Korobkov MV , Pileckas K , Russo R . On the flux problem in the theory of steady Navier--Stokes equations with nonhomogeneous boundary conditions. Arch Ration Mech Anal. 2013;207:185–213.
  • Korobkov MV , Pileckas K , Russo R . Steady Navier--Stokes system with nonhomogeneous boundary conditions in the axially symmetric case. C. R. Mecanique. 2012;340:115–119.
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  • Ladyzhenskaya OA . The mathematical theory of viscous incompressible flow. Vol. 2, Mathematics and its applications. New York (NY): Gordon and Breach, Science Publishers; 1969. Second English edition, revised and enlarged; translatedfrom the Russian by Richard A. Silverman and John Chu.
  • Korobkov MV . Bernoulli’s law under minimal smoothness assumptions. Dokl Math. 2011;83:107–110.
  • Korobkov MV , Pileckas K , Russo R . Solution of Leray’s problem for stationary Navier--Stokes equations in plane and axially symmetric spatial domains. Ann Math. 2015;181:769–807.

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