Incompressible limit for the compressible flow of liquid crystals in \(L^p\) type critical Besov spaces
From MaRDI portal
Publication:1661096
DOI10.3934/dcds.2018124zbMath1397.35195OpenAlexW2795612592MaRDI QIDQ1661096
Qunyi Bie, Haibo Cui, Q. R. Wang, Zheng-An Yao
Publication date: 16 August 2018
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2018124
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (4)
Incompressible limit of the Ericksen-Leslie parabolic-hyperbolic liquid crystal model ⋮ Low Mach number limit for the compressible inertial Qian-Sheng model of liquid crystals: convergence for classical solutions ⋮ Optimal decay rate for the compressible flow of liquid crystals in \(L^p\) type critical spaces ⋮ Global large solutions and incompressible limit for the compressible flow of liquid crystals
Cites Work
- Unnamed Item
- Unnamed Item
- The incompressible limit in \(L^p\) type critical spaces
- Global weak solutions to the equations of compressible flow of nematic liquid crystals in two dimensions
- Global existence of solutions of the simplified Ericksen-Leslie system in dimension two
- Well-posedness in critical spaces for the system of compressible Navier-Stokes in larger spaces
- Strong solutions of the compressible nematic liquid crystal flow
- Existence of global strong solutions in critical spaces for barotropic viscous fluids
- Compressible hydrodynamic flow of liquid crystals in 1-D
- Hydrostatic theory of liquid crystals
- Convergence of the solutions of the compressible to the solutions of the incompressible Navier-Stokes equations
- Liquid crystal flows in two dimensions
- The zero-Mach limit of compressible flows
- Special issue dedicated to Jacques-Louis Lions
- Global existence in critical spaces for compressible Navier-Stokes equations
- Global existence and incompressible limit in critical spaces for compressible flow of liquid crystals
- Flows of non-Lipschitzian vector fields and Navier-Stokes equations
- Incompressible limit of the compressible nematic liquid crystal flow
- Incompressible limit for the compressible flow of liquid crystals
- Blow up criterion for compressible nematic liquid crystal flows in dimension three
- Weak solution to compressible hydrodynamic flow of liquid crystals in dimension one
- Incompressible limit of a compressible liquid crystals system
- On multi-dimensional compressible flows of nematic liquid crystals with large initial energy in a bounded domain
- Some constitutive equations for liquid crystals
- The Oberbeck–Boussinesq approximation in critical spaces
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three
- Well‐posedness for the density‐dependent incompressible flow of liquid crystals
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Compressible and incompressible fluids
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Low Mach number limit of viscous compressible flows in the whole space
- All-Time Existence of Classical Solutions for Slightly Compressible Flows
- Zero Mach number limit in critical spaces for compressible Navier–Stokes equations
- Zero Mach number limit for compressible flows with periodic boundary conditions
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Global Finite Energy Weak Solutions to the Compressible Nematic Liquid Crystal Flow in Dimension Three
This page was built for publication: Incompressible limit for the compressible flow of liquid crystals in \(L^p\) type critical Besov spaces
