Time-periodic solution for an incompressible magnetohydrodynamic system with an external force in \(\mathbb{R}^N\)

DOI10.4310/CMS.2021.V19.N8.A2zbMath1497.35388OpenAlexW3201672062MaRDI QIDQ2057059

Yitong Pei, Bo-ling Guo

Publication date: 8 December 2021

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

Full work available at URL: https://doi.org/10.4310/cms.2021.v19.n8.a2

zbMATH Keywords

topological degree theorytime-periodic solutionsincompressible magnetohydrodynamic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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