Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity
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Publication:4603745
DOI10.1137/17M1111486zbMath1390.74059arXiv1608.02992OpenAlexW2963893761MaRDI QIDQ4603745
Johannes Forster, Chun Liu, Barbora Benešová, Anja Schlömerkemper
Publication date: 19 February 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.02992
PDEs in connection with fluid mechanics (35Q35) Electromagnetic effects in solid mechanics (74F15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74)
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Cites Work
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- Existence results for incompressible magnetoelasticity
- On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid
- Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers: the two-dimensional case
- Dissipative weak solutions to compressible Navier-Stokes-Fokker-Planck systems with variable viscosity coefficients
- Global strong solution to the three-dimensional density-dependent incompressible magnetohydrodynamic flows
- A thermodynamically consistent theory of the ferro/paramagnetic transition
- A thermodynamically consistent model of magneto-elastic materials under diffusion at large strains and its analysis
- A dual approach to regularity in thin film micromagnetics
- On energetic variational approaches in modeling the nematic liquid crystal flows
- On a hyperbolic-parabolic system arising in magnetoelasticity
- Finite-time blow-up of the heat flow of harmonic maps from surfaces
- Existence of minimizers for a variational problem in two-dimensional nonlinear magnetoelasticity
- A constrained theory of magnetoelasticity
- Regular solutions for Landau-Lifschitz equation in a bounded domain.
- Rate-independent systems. Theory and application
- On the dynamics of deformable ferromagnets. I: Global weak solutions for soft ferromagnets at rest
- Global weak solutions to the magnetohydrodynamic and Vlasov equations
- Global weak solutions for the Landau-Lifschitz equation with magnetostriction
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Thin-Film Limits for Landau–Lifshitz–Gilbert Equations
- Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism
- Global Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data
- The 3D Navier-Stokes Problem
- On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
- Uniqueness of solutions for a mathematical model for magneto-viscoelastic flows
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Coupled Magnetomechanical Equations for Magnetically Saturated Insulators
- Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation
- On hydrodynamics of viscoelastic fluids
- Nonlinear partial differential equations with applications
- An Eulerian description of fluids containing viscoelastic particles
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