Well-posedness of the co-rotational Beris-Edwards system with the Landau-De Gennes energy in \(L_{uloc}^3 (\mathbb{R}^3)\)
DOI10.3934/DCDS.2024081MaRDI QIDQ6614216
Publication date: 7 October 2024
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) General theory of rotating fluids (76U05) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- Well-posedness of nematic liquid crystal flow in \({L^3_{\mathrm{uloc}}(\mathbb R^3)}\)
- Strictly physical global weak solutions of a Navier-Stokes \(Q\)-tensor system with singular potential
- On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large \(L_3\)-initial data
- Global existence and regularity of solutions for active liquid crystals
- Orientability and energy minimization in liquid crystal models
- Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
- Global strong solution to the three-dimensional liquid crystal flows of Q-tensor model
- Global well-posedness for the dynamical \(Q\)-tensor model of liquid crystals
- Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
- Liquid crystal flows in two dimensions
- Well-posedness of the Ericksen-Leslie system with the Oseen-Frank energy in \(L_{\mathrm{uloc}}^{3}({\mathbb R}^3)\)
- Dynamics and flow effects in the Beris-Edwards system modeling nematic liquid crystals
- Suitable weak solutions for the co-rotational Beris-Edwards system in dimension three
- On optimal boundary control of Ericksen-Leslie system in dimension two
- A uniqueness and regularity criterion for \(Q\)-tensor models with Neumann boundary conditions.
- Some constitutive equations for liquid crystals
- On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in \(\mathbb{R}^2\)
- Global strong solutions of the full Navier-Stokes and \(Q\)-tensor system for nematic liquid crystal flows in two dimensions
- On asymptotic isotropy for a hydrodynamic model of liquid crystals
- Well-posedness of a fully coupled Navier-Stokes/\(\mathrm Q\)-tensor system with inhomogeneous boundary data
- Global Existence and Regularity for the Full Coupled Navier–Stokes andQ-Tensor System
- Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three
- Partial regularity of suitable weak solutions of the navier-stokes equations
- Weak Time Regularity and Uniqueness for a $Q$-Tensor Model
- Dynamic cubic instability in a 2D Q-tensor model for liquid crystals
- Rigorous Derivation from Landau--de Gennes Theory to Ericksen--Leslie Theory
- Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions
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