Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case
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Publication:2423382
DOI10.1007/s00205-019-01382-9zbMath1415.35230OpenAlexW2506442512MaRDI QIDQ2423382
Publication date: 21 June 2019
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-019-01382-9
PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Quasilinear parabolic equations (35K59)
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Cites Work
- Unnamed Item
- Unnamed Item
- Dynamics of nematic liquid crystal flows: the quasilinear approach
- Global strong solutions to incompressible Ericksen-Leslie system in \(\mathbb{R}^3\)
- Strong solutions of the compressible nematic liquid crystal flow
- Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
- Global well-posedness and decay of smooth solutions to the non-isothermal model for compressible nematic liquid crystals
- On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces. II
- Hydrostatic theory of liquid crystals
- 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
- 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
- On the general Ericksen-Leslie system: Parodi's relation, well-posedness and stability
- Blow up criterion for compressible nematic liquid crystal flows in dimension three
- A new approach to non-isothermal models for nematic liquid crystals
- Well-posedness of the Ericksen-Leslie system
- On multi-dimensional compressible flows of nematic liquid crystals with large initial energy in a bounded domain
- Some constitutive equations for liquid crystals
- On asymptotic isotropy for a hydrodynamic model of liquid crystals
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- Blow-up Criteria of Strong Solutions to the Ericksen-Leslie System in ℝ3
- Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three
- On nematic liquid crystals with variable degree of orientation
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- Local well-posedness for a compressible non-isothermal model for nematic liquid crystals
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Propagation of elastic waves in liquid crystals
- Thermodynamics
