Well-posedness for magnetoviscoelastic fluids in 3D

DOI10.1016/j.nonrwa.2022.103759zbMath1501.35313arXiv2203.12488OpenAlexW4297541505MaRDI QIDQ2096715

Hengrong Du, Yuanzhen Shao, Gieri Simonett

Publication date: 11 November 2022

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.12488

zbMATH Keywords

Lyapunov functionquasilinear parabolic equationconvergence to equilibrianormally stablestrong well-posednessLandau-Lifshitz-Gilbert system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of magnetic materials (82D40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59)

Related Items (2)

Linear and quasilinear evolution equations in the context of weighted \(L_p\)-spaces ⋮ On a thermodynamically consistent model for magnetoviscoelastic fluids in 3D

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