Thermodynamical Consistent Modeling and Analysis of Nematic Liquid Crystal Flows
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Publication:5278258
DOI10.1007/978-4-431-56457-7_15zbMath1366.76010arXiv1504.01237OpenAlexW2298668334MaRDI QIDQ5278258
Publication date: 13 July 2017
Published in: Mathematical Fluid Dynamics, Present and Future (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.01237
regularitynematic liquid crystalsglobal solutionsconvergence to equilibriaquasilinear parabolic evolution equations
Related Items
Local well-posedness to inhomogeneous Ericksen-Leslie system with general Leslie stress tensor, Strong solutions to the 2D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum at infinity, Local well-posedness of strong solutions to density-dependent liquid crystal system, Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday, Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case, On a thermodynamically consistent model for magnetoviscoelastic fluids in 3D, Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistency, Existence and uniqueness theorems for the full three-dimensional Ericksen–Leslie system, Global strong solutions to the one-dimensional full compressible liquid crystal equations with temperature-dependent heat conductivity, Approximation and Optimal Control of Dissipative Solutions to the Ericksen–Leslie System
Cites Work
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- Dynamics of nematic liquid crystal flows: the quasilinear approach
- General parabolic mixed order systems in \(L_p\) and applications
- Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential
- On quasilinear parabolic evolution equations in weighted \(L_{p}\)-spaces
- Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy
- Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
- On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces. II
- Regularity and existence of global solutions to the Ericksen-Leslie system in \({\mathbb{R}^2}\)
- Theory and applications of liquid crystals
- Hydrostatic theory of liquid crystals
- Global solution to the three-dimensional incompressible flow of liquid crystals
- Theory of function spaces II
- Liquid crystal flows in two dimensions
- On convergence of solutions to equilibria for quasilinear parabolic problems
- Boundary problems for systems of partial differential operators of mixed order
- Existence of solutions for the Ericksen-Leslie system
- Maximal regularity for evolution equations in weighted \(L_p\)-spaces
- On the general Ericksen-Leslie system: Parodi's relation, well-posedness and stability
- A new approach to non-isothermal models for nematic liquid crystals
- Well-posedness of the Ericksen-Leslie system
- Some constitutive equations for liquid crystals
- Well-posedness of the full Ericksen–Leslie model of nematic liquid crystals
- On a non-isothermal model for nematic liquid crystals
- On nematic liquid crystals with variable degree of orientation
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Asymptotic Behavior of Solutions to the Liquid Crystal System in $H^m(\mathbb{R}^3)$
- $L_p$-Theory for a Class of Non-Newtonian Fluids
