Local and global solutions on arcs for the Ericksen-Leslie problem in \(\mathbb{R}^N\)
DOI10.1002/mana.202300253MaRDI QIDQ6648864
Vladimir Georgiev, Daniele Barbera
Publication date: 5 December 2024
Published in: Mathematische Nachrichten (Search for Journal in Brave)
energy estimatesheat equationexistence of solutionStokes equationliquid crystalsdecay estimateEricksen-Leslie
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) A priori estimates in context of PDEs (35B45) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Heat kernel (35K08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
- Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
- Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals
- Partial regularity of the dynamic system modeling the flow of liquid crystals
- Existence of solutions for the Ericksen-Leslie system
- Weak compactness property of simplified nematic liquid crystal flows in dimension two
- On the Navier-Stokes initial value problem. I
- On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in \(\mathbb R^N\)
- Global existence and the optimal decay rates for the three dimensional compressible nematic liquid crystal flow
- Global existence and temporal decay for the nematic liquid crystal flows
- Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- 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
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Asymptotic Behavior of Solutions to Liquid Crystal Systems in ℝ3
- Mathematical Analysis of the Navier-Stokes Equations
- Exact smoothing properties of Schrodinger semigroups
This page was built for publication: Local and global solutions on arcs for the Ericksen-Leslie problem in \(\mathbb{R}^N\)
