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pro vyhledávání: '"Liu , Yanlin"'
Autor:
Liu, Yanlin
In this paper, we derive the optimal time-decay estimates for 2-D inhomogeneous Navier-Stokes equations. In particular, we prove that $\|u(t)\|_{\dot{B}^{\theta}_{p,1}({\mathop{\mathbb R\kern 0pt}\nolimits}^2)}={\mathcal O} (t^{\frac1p-\frac32-\frac{
Externí odkaz:
http://arxiv.org/abs/2407.03752
In this paper, we first establish the global existence and stability of solutions to 3-D classical Navier-Stokes equations $(NS)$ in an infinite cylindrical domain with large Fourier mode initial data. Then we extend similar result for 3-D anisotropi
Externí odkaz:
http://arxiv.org/abs/2406.05329
Autor:
Liu, Yanlin, Zhang, Ping
In this paper, we consider the one time-varying component regularity criteria for local strong solution of 3-D Navier-Stokes equations. Precisely, if $\beta(t)$ is a piecewise $H^1$ unit vector from $[0,T] $ to $\Bbb{S}^2$ with finitely many jump dis
Externí odkaz:
http://arxiv.org/abs/2312.03153
Autor:
Liu, Yanlin, Zhang, Ping
In this paper, we first prove the global existence of strong solutions to 3-D incompressible Navier-Stokes equations with solenoidal initial data, which writes in the cylindrical coordinates is of the form: $A(r,z)\cos N\theta +B(r,z)\sin N\theta,$ p
Externí odkaz:
http://arxiv.org/abs/2305.05272
Autor:
Liu, Yanlin, Xu, Li
Publikováno v:
SIAM J. Math. Anal. 55 (2023), no. 1, 458-485
In this paper, we consider 3-D Navier-Stokes equations with almost axisymmetric initial data, which means that by writing $u_0 =u^r_0 e_r+u^\theta_0 e_\theta+u^z_0 e_z$ in the cylindrical coordinates, then $\partial_\theta u^r_0,\,\partial_\theta u^\
Externí odkaz:
http://arxiv.org/abs/2305.01046
In the parameterized $k$-clique problem, or $k$-Clique for short, we are given a graph $G$ and a parameter $k\ge 1$. The goal is to decide whether there exist $k$ vertices in $G$ that induce a complete subgraph (i.e., a $k$-clique). This problem play
Externí odkaz:
http://arxiv.org/abs/2304.07516
Autor:
Gao, Binghong, Li, Siqi, Lei, Xingmeng, Huang, Xiaochuan, Rao, Chuanyan, Li, Jiemin, Qin, Yi, Ye, Dongqing, Liu, Yanlin
Publikováno v:
In International Journal of Biological Macromolecules November 2024 279 Part 4
Publikováno v:
In Heliyon 15 October 2024 10(19)
Publikováno v:
In Food Bioscience October 2024 61
Autor:
Shang, Chenqing, Tang, Jiren, Liu, Wenchuan, Liu, Yanlin, Jia, Yunzhong, Xiao, Yongjun, Fu, Wenyu, Cheng, Qi
Publikováno v:
In Process Safety and Environmental Protection October 2024 190 Part A:763-778