Global existence of weak solutions to a three-dimensional fractional model in magneto-viscoelastic interactions

DOI10.1186/s13661-017-0852-3zbMath1483.74032OpenAlexW2745388946WikidataQ59514352 ScholiaQ59514352MaRDI QIDQ2401080

Idriss Ellahiani, Mouhcine Tilioua, El-Hassan Essoufi

Publication date: 31 August 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0852-3

zbMATH Keywords

weak solutioncommutator estimatesequation of viscoelasticitythree-dimensional periodical fractional Heisenberg equation

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Nonlinear constitutive equations for materials with memory (74D10) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Existence of solutions of equilibrium problems in solid mechanics (74G22)

Related Items (2)

Global existence of weak solutions to a three-dimensional fractional model in magneto-viscoelastic interactions ⋮ Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity

Cites Work

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• Well-posedness for the fractional Landau-Lifshitz equation without Gilbert damping
• Global existence of weak solutions to a three-dimensional fractional model in magneto-viscoelastic interactions
• Commutator estimates and the euler and navier-stokes equations

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