Global existence and optimal time decay rate of the solutions to the incompressible biaxial nematic liquid crystals flows in \(\mathbb{R}^3\)
From MaRDI portal
Publication:6660997
DOI10.1007/s00033-024-02399-1MaRDI QIDQ6660997
Publication date: 10 January 2025
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Second-order parabolic equations (35K10)
Cites Work
- Well-posedness of nematic liquid crystal flow in \({L^3_{\mathrm{uloc}}(\mathbb R^3)}\)
- Decay of the Navier-Stokes-Poisson equations
- 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
- Solutions of incompressible hydrodynamic flow of liquid crystals
- 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 \({\mathbb{R}^2}\)
- Hydrostatic theory of liquid crystals
- Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)
- Liquid crystal flows in two dimensions
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
- Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
- Existence and uniqueness of solution to one-dimensional compressible biaxial nematic liquid crystal flows
- Orientability and asymptotic convergence of \(Q\)-tensor flow of biaxial nematic liquid crystals
- Time decay rate of global strong solutions to nematic liquid crystal flows in \(\mathbb{R}_+^3\)
- Optimal decay rates for the compressible fluid models of Korteweg type
- Global existence and temporal decay for the nematic liquid crystal flows
- Blow up Criterion for Nematic Liquid Crystal Flows
- Recent developments of analysis for hydrodynamic flow of nematic liquid crystals
- Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three
- Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions
- Large time behaviour of solutions to the navier-stokes equations
- On the decay of higher-order norms of the solutions of Navier–Stokes equations
- Asymptotic Behavior of Solutions to Liquid Crystal Systems in ℝ3
- Decay of Dissipative Equations and Negative Sobolev Spaces
- Existence of solutions to incompressible biaxial nematic liquid crystals flows
- Finite Time Blowup for the Nematic Liquid Crystal Flow in Dimension Two
- Asymptotic Behavior of Solutions to the Liquid Crystal System in $H^m(\mathbb{R}^3)$
- Existence and blow up criterion for strong solutions to the compressible biaxial nematic liquid crystal flow
- Long‐time dynamics of Ericksen–Leslie system on 𝕊2
This page was built for publication: Global existence and optimal time decay rate of the solutions to the incompressible biaxial nematic liquid crystals flows in \(\mathbb{R}^3\)