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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:
Liu, Yanlin
As a coastal city, the history and development of Helsinki are very much linked to its harbor. In particular, as the closest harbor to the city center, the South Port "Makasiiniranta" has largely served as the "gateway to the sea" of Helsinki. As the
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-315662
Autor:
Hao, Tiantian, Liu, Yanlin
The anisotropic Navier-Stokes system arises in geophysical fluid dynamics, which is derived by changing $-\nu\D$ in the classical Navier-Stokes system to $-(\nu_1\partial^2_1+\nu_2\partial^2_2+\nu_3\partial^2_3)$. Here $\nu_1,\,\nu_2\,,\nu_3$ are the
Externí odkaz:
http://arxiv.org/abs/2111.12368
Publikováno v:
In LWT 15 July 2024 204
Publikováno v:
In Polymer 12 June 2024 305