Zobrazeno 1 - 10
of 26
pro vyhledávání: '"YI-LONG LUO"'
Publikováno v:
Journal of Differential Equations. 367:79-123
Publikováno v:
Journal of Hyperbolic Differential Equations. 19:717-773
We study the Ericksen–Leslie hyperbolic system for compressible liquid crystal model in three spatial dimensions. Global regularity and scattering for small and smooth initial data near equilibrium are proved for the case that the system is a nonli
We investigate the linear stability analysis of a pathway-based diffusion model (PBDM), which characterizes the dynamics of the engineered Escherichia coli populations [X. Xue and C. Xue and M. Tang, P LoS Computational Biology, 14 (2018), pp. e10061
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::831937ee7776376b3db8e8ac70b3ee6a
http://arxiv.org/abs/2302.09203
http://arxiv.org/abs/2302.09203
Autor:
Yi-Long Luo, Yangjun Ma
Publikováno v:
Analysis and Applications. 20:221-284
The Qian–Sheng model is a system describing the hydrodynamics of nematic liquid crystals in the Q-tensor framework. When the inertial effect is included, it is a hyperbolic-type system involving a second-order material derivative coupling with forc
Autor:
Yangjun Ma, Yi-Long Luo
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 41:921-966
In this paper we study the incompressible limit of the compressible inertial Qian-Sheng model for liquid crystal flow. We first derive the uniform energy estimates on the Mach number \begin{document}$ \epsilon $\end{document} for both the compressibl
Publikováno v:
Communications in Mathematical Sciences. 19:175-192
Publikováno v:
Journal of Differential Equations. 269:349-376
The asymptotics from the two-fluid incompressible Navier-Stokes-Maxwell system with Ohm's law to solenoidal Ohm's law was pointed out in Arsenio-Saint-Raymond's work [3] . We justify rigorously this limit in the context of global-in-time classical so
Publikováno v:
Archive for Rational Mechanics and Analysis. 236:329-387
A coupled system of self-organized hydrodynamics and Navier-Stokes equations (SOH-NS), which models self-propelled particles in a viscous fluid, was recently derived by Degond et al. \cite{DMVY-2017-arXiv}, starting from a micro-macro particle system
Publikováno v:
Nonlinear Analysis: Real World Applications. 45:590-608
Formally when the inertia constant goes to zero, the hyperbolic system of Ericksen–Leslie’s liquid crystal flow reduces to the corresponding parabolic system. In this paper, under the assumptions that the initial data are well-prepared and the fl
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 29:121-183
We study the well-posedness of the Ericksen–Leslie’s parabolic–hyperbolic liquid crystal model in compressible flow. Inspired by our study for incompressible case [N. Jiang and Y.-L. Luo, On well-posedness of Ericsen–Leslie’s hyperbolic inc