Decay for the equations of compressible flow of nematic liquid crystals

DOI10.1016/j.na.2021.112385zbMath1467.76010OpenAlexW3157521247MaRDI QIDQ2033021

Jialiang Wang, Jing Xiong, Wei-wei Wang

Publication date: 14 June 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2021.112385

zbMATH Keywords

Cauchy problemHodge decompositionlarge-time behavioroptimal decay ratesemigroup structurehighest-order derivative

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

Optimal time-decay rates of the 3D compressible nematic liquid crystal flows with discontinuous initial data and large oscillations ⋮ The existence and uniqueness of time-periodic solutions to the non-isothermal model for compressible nematic liquid crystals in a periodic domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Long-time dynamics of the nonhomogeneous incompressible flow of nematic liquid crystals
• Decay of the Navier-Stokes-Poisson equations
• Global weak solutions to the equations of compressible flow of nematic liquid crystals in two dimensions
• The optimal decay estimates on the framework of Besov spaces for generally dissipative systems
• Large-time behavior of liquid crystal flows with a trigonometric condition in two dimensions
• Global solution to the three-dimensional incompressible flow of liquid crystals
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• Incompressible limit for the compressible flow of liquid crystals
• Global weak solution and large-time behavior for the compressible flow of liquid crystals
• Time decay of solutions to the compressible Euler equations with damping
• On multi-dimensional compressible flows of nematic liquid crystals with large initial energy in a bounded domain
• The Boltzmann equation, Besov spaces, and optimal time decay rates in \(\mathbb{R}_x^n\)
• Some constitutive equations for liquid crystals
• Long-time behavior for nonlinear hydrodynamic system modeling the nematic liquid crystal flows
• Decay of the nematic liquid crystal system
• Fourier Analysis and Nonlinear Partial Differential Equations
• Large time behavior of isentropic compressible Navier-Stokes system in ℝ ³
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
• Decay of Dissipative Equations and Negative Sobolev Spaces
• Asymptotic Behavior of Solutions to the Liquid Crystal System in $H^m(\mathbb{R}^3)$
• OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES

This page was built for publication: Decay for the equations of compressible flow of nematic liquid crystals