On a thermodynamically consistent model for magnetoviscoelastic fluids in 3D
DOI10.1007/s00028-023-00938-3arXiv2305.13432OpenAlexW4391718776MaRDI QIDQ6155108
Hengrong Du, Gieri Simonett, Yuanzhen Shao
Publication date: 16 February 2024
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.13432
entropyLyapunov functionthermodynamic consistencyconvergence to equilibriaquasilinear parabolic systemmagnetoviscoelstic fluid
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Viscoelastic fluids (76A10) Heat equation (35K05) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59) Diffusive and convective heat and mass transfer, heat flow (80A19)
Cites Work
- Unnamed Item
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- Dynamics of nematic liquid crystal flows: the quasilinear approach
- Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential
- Global attractors in stronger norms for a class of parabolic systems with nonlinear boundary conditions
- Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy
- Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions
- Center manifolds and dynamics near equilibria of quasilinear parabolic systems with fully nonlinear boundary conditions
- On convergence of solutions to equilibria for quasilinear parabolic problems
- Center manifolds for quasilinear reaction-diffusion systems
- On the strong solvability of the Navier-Stokes equations
- Local well-posedness and blow-up criteria of magneto-viscoelastic flows
- Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case
- Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistency
- Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
- Maximal regularity for evolution equations in weighted \(L_p\)-spaces
- Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity
- Struwe-like solutions for an evolutionary model of magnetoviscoelastic fluids
- Well-posedness for magnetoviscoelastic fluids in 3D
- Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids
- Reduction principle and asymptotic phase for center manifolds of parabolic systems with nonlinear boundary conditions
- A new approach to non-isothermal models for nematic liquid crystals
- Existence of analytic solutions for the classical Stefan problem
- Stable stationary harmonic maps to spheres
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- Dissipative Ordered Fluids
- Sharp embedding results for spaces of smooth functions with power weights
- Generalized thermoelasticity for anisotropic media
- Uniqueness of solutions for a mathematical model for magneto-viscoelastic flows
- Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity
- Thermodynamical Consistent Modeling and Analysis of Nematic Liquid Crystal Flows
- Analytic semigroups and optimal regularity in parabolic problems
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