Existence and regularity of a weak solution to the Maxwell-Stokes type system containing \(p\)-curlcurl equation

zbMath1434.35204MaRDI QIDQ2291840

Junichi Aramaki

Publication date: 31 January 2020

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1566266426

zbMATH Keywords

regularityweak solution\(p\)-curlcurl operatorMaxwell-Stokes type systemmultiply-connected domain with holes

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Quasielliptic equations (35H30)

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Existence of a solution for a stationary Maxwell-Stokes type system

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