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Existence of a solution for a stationary Maxwell-Stokes type system. (English) Zbl 1458.35298

Summary: In this paper, we consider the Maxwell-Stokes type system containing \(p\)-curlcurl equation in a bounded multiply connected domain. We demonstrate the existence of a weak solution. Moreover, we show the continuous dependence of the solution on known data.

MSC:

35Q30 Navier-Stokes equations
35A15 Variational methods applied to PDEs
35A01 Existence problems for PDEs: global existence, local existence, non-existence
35D30 Weak solutions to PDEs
76W05 Magnetohydrodynamics and electrohydrodynamics
35Q60 PDEs in connection with optics and electromagnetic theory
78A30 Electro- and magnetostatics
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References:

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