On the existence of weak martingale solution for stochastic non-homogeneous penalised nematic liquid crystal system
DOI10.3934/cpaa.2022136zbMath1502.35124OpenAlexW4296058599MaRDI QIDQ2099233
Publication date: 23 November 2022
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2022136
stochastic compactnesstwo-level approximationglobal weak martingale solutionstochastic non-homogeneous liquid crystal system
PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Strong solutions to PDEs (35D35)
Cites Work
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- Solutions of incompressible hydrodynamic flow of liquid crystals
- Global solution to the incompressible flow of liquid crystals
- Strong solutions to the density-dependent incompressible nematic liquid crystal flows
- Global solution to the three-dimensional incompressible flow of liquid crystals
- Compact sets in the space \(L^ p(0,T;B)\)
- Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
- Martingale solutions for the three-dimensional stochastic nonhomogeneous incompressible Navier-Stokes equations driven by Lévy processes
- Asymptotic behavior of two-dimensional stochastic nematic liquid crystal flows with multiplicative noise
- Large deviations for stochastic nematic liquid crystals driven by multiplicative Gaussian noise
- Local martingale and pathwise solutions for an abstract fluids model
- Some results on the penalised nematic liquid crystals driven by multiplicative noise: weak solution and maximum principle
- Stochastic nonhomogeneous incompressible Navier-Stokes equations
- Some constitutive equations for liquid crystals
- Stochastic Navier-Stokes equations for compressible fluids
- Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Large deviations for nematic liquid crystals driven by pure jump noise
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- On the existence of globally defined weak solutions to the Navier-Stokes equations
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