Uniqueness of solutions for a mathematical model for magneto-viscoelastic flows

DOI10.1088/1361-6544/aaba36zbMath1397.35226arXiv1703.07858OpenAlexW2605542528WikidataQ129834846 ScholiaQ129834846MaRDI QIDQ4569249

Anja Schlömerkemper, Josef Žabenský

Publication date: 28 June 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07858

zbMATH Keywords

weak solutionuniqueness of solutionsmagnetoelasticityweak-strong uniquenessmagnetoelastic materialsProdi-Serrin conditions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Electromagnetic effects in solid mechanics (74F15) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (13)

Homogenization of a NonLinear Strongly Coupled Model of Magnetorheological Fluids ⋮ Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids ⋮ Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities ⋮ Finite fractal dimensional pullback attractors for a class of 2D magneto-viscoelastic flows ⋮ On a thermodynamically consistent model for magnetoviscoelastic fluids in 3D ⋮ Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity ⋮ Global smooth solution to the incompressible Navier-Stokes-Landau-Lifshitz equations ⋮ Concentration-cancellation in the Ericksen-Leslie model ⋮ Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity ⋮ Global existence of weak solutions to a diffuse interface model for magnetic fluids ⋮ Weak-strong uniqueness of incompressible magneto-viscoelastic flows ⋮ Struwe-like solutions for an evolutionary model of magnetoviscoelastic fluids ⋮ Well-posedness for magnetoviscoelastic fluids in 3D

Cites Work

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• Existence results for incompressible magnetoelasticity
• Remarks on the uniqueness of weak solution for the 3D viscous magneto-hydrodynamics equations in \(B^1_{\infty,\infty}\)
• Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity
• Regularity and uniqueness for the 3D incompressible Navier-Stokes equations with damping
• On energetic variational approaches in modeling the nematic liquid crystal flows
• On a hyperbolic-parabolic system arising in magnetoelasticity
• On uniqueness questions in the theory of viscous flow
• Existence of minimizers for a variational problem in two-dimensional nonlinear magnetoelasticity
• A remark on the uniqueness problem for the weak solutions of Navier-Stokes equations
• A constrained theory of magnetoelasticity
• Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
• Long-time behavior and weak-strong uniqueness for incompressible viscoelastic flows
• Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics
• Un teorema di unicita per le equazioni di Navier-Stokes
• The initial value problem for the Navier-Stokes equations with data in L\(^p\)
• Global weak solutions for the Landau-Lifschitz equation with magnetostriction
• Global Existence and Regularity for the Full Coupled Navier–Stokes andQ-Tensor System
• The Three-Dimensional Navier–Stokes Equations
• Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism
• Weak-strong uniqueness for measure-valued solutions of some compressible fluid models
• On the Energy Equality for Weak Solutions of the 3D Navier-Stokes Equations
• Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity
• Nonparabolic dissipative systems modeling the flow of liquid crystals
• Existence of Energy Minimizers for Magnetostrictive Materials
• On hydrodynamics of viscoelastic fluids
• An Eulerian description of fluids containing viscoelastic particles

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