On the uniqueness of weak solution for the 2-D Ericksen-Leslie system
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Publication:908166
DOI10.3934/dcdsb.2016.21.919zbMath1353.35007OpenAlexW2527332347MaRDI QIDQ908166
Zhifei Zhang, Wendong Wang, Meng Wang
Publication date: 3 February 2016
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2016.21.919
PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (15)
Local well-posedness to inhomogeneous Ericksen-Leslie system with general Leslie stress tensor ⋮ Well-posedness of the Ericksen-Leslie system with the Oseen-Frank energy in \(L_{\mathrm{uloc}}^{3}({\mathbb R}^3)\) ⋮ Local well-posedness of strong solutions to density-dependent liquid crystal system ⋮ Global well-posedness of the non-isothermal model for incompressible nematic liquid crystals ⋮ Global well-posedness for the three dimensional simplified inertial Ericksen-Leslie systems near equilibrium ⋮ Nonuniqueness of nematic liquid crystal flows in dimension three ⋮ \(L^{3,\infty}\) solutions of the liquid crystals system ⋮ Uniqueness of global weak solutions for the general Ericksen-Leslie system with Ginzburg-Landau penalization in \(\mathbb{T}^2\) ⋮ The Landau--Lifshitz Equation of the Ferromagnetic Spin Chain and Oseen--Frank Flow ⋮ On strong solution to the 2D stochastic Ericksen-Leslie system: a Ginzburg-Landau approximation approach ⋮ Convergence of the Ginzburg-Landau Approximation for the Ericksen-Leslie System ⋮ On the 2D Ericksen-Leslie equations with anisotropic energy and external forces ⋮ On the existence and uniqueness of solution to a stochastic simplified liquid crystal model ⋮ Partial regularity to the Landau-Lifshitz equation with spin accumulation ⋮ Local well-posedness of nonhomogeneous incompressible liquid crystals model without compatibility condition
Cites Work
- Unnamed Item
- Unnamed Item
- Global existence of solutions of the liquid crystal flow for the Oseen-Frank model in \(\mathbb R^2\)
- Global existence of weak solution for the 2-D Ericksen-Leslie system
- Global existence of solutions of the simplified Ericksen-Leslie system in dimension two
- On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals
- Global regularity and uniqueness of weak solution for the 2-D liquid crystal flows
- Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
- Regularity and existence of global solutions to the Ericksen-Leslie system in \({\mathbb{R}^2}\)
- Liquid crystal flows in two dimensions
- On the evolution of harmonic mappings of Riemannian surfaces
- Partial regularity of the dynamic system modeling the flow of liquid crystals
- Existence of solutions for the Ericksen-Leslie system
- On the general Ericksen-Leslie system: Parodi's relation, well-posedness and stability
- On the rigidity of nematic liquid crystal flow on \(S^2\)
- Well-posedness of the Ericksen-Leslie system
- Some constitutive equations for liquid crystals
- On the uniqueness of weak solutions to the Ericksen–Leslie liquid crystal model in ℝ2
- Blow up Criterion for Nematic Liquid Crystal Flows
- Blow-up Criteria of Strong Solutions to the Ericksen-Leslie System in ℝ3
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- The Small Deborah Number Limit of the Doi‐Onsager Equation to the Ericksen‐Leslie Equation
- SOME CONSTITUTIVE EQUATIONS FOR ANISOTROPIC FLUIDS
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