Div-curl system with potential and Maxwell-Stokes system with natural boundary condition
DOI10.1007/s10884-021-09994-0zbMath1497.35452OpenAlexW3164751365WikidataQ115383201 ScholiaQ115383201MaRDI QIDQ2172767
Publication date: 16 September 2022
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-021-09994-0
curlvariational methodnatural boundary conditionnonlinear Maxwell systemcompact operators methoddiv-curl system with potentialMaxwell-Stokes systemmodified de Rham lemma
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) Stokes and related (Oseen, etc.) flows (76D07) Variational methods for elliptic systems (35J50) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Electro- and magnetostatics (78A30) Second-order elliptic systems (35J47) Maxwell equations (35Q61) Boundary value problems for second-order elliptic systems (35J57)
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