Zobrazeno 1 - 10
of 267
pro vyhledávání: '"Fang, Daoyuan"'
In this paper, we study the semilinear wave equations with the inverse-square potential. By transferring the original equation to a "fractional dimensional" wave equation and analyzing the properties of its fundamental solution, we establish a long-t
Externí odkaz:
http://arxiv.org/abs/2104.10816
By assuming certain local energy estimates on $(1+3)$-dimensional asymptotically flat space-time, we study the existence portion of the \emph{Strauss} type wave system. Firstly we give a kind of space-time estimates which are related to the local ene
Externí odkaz:
http://arxiv.org/abs/2010.04309
In this paper, we consider the 3D Navier-Stokes equations in the whole space. We investigate some new inequalities and \textit{a priori} estimates to provide the critical regularity criteria in terms of one directional derivative of the velocity fiel
Externí odkaz:
http://arxiv.org/abs/2007.10888
Firstly, we study the equation $\square u = |u|^{q_c}+ |\partial u|^p$ with small data, where $q_c$ is the critical power of Strauss conjecture and $p\geq q_c.$ We obtain the optimal lifespan $\ln({T_\varepsilon})\approx\varepsilon^{-q_c(q_c-1)}$ in
Externí odkaz:
http://arxiv.org/abs/1810.10232
By applying the delicate \textit{a priori} estimates for the equations of $(\Phi,\Gamma)$, which is introduced in the previous work, we obtain some multi-scale regularity criteria of the swirl component $u^{\theta}$ for the 3D axisymmetric Navier-Sto
Externí odkaz:
http://arxiv.org/abs/1802.08956
Publikováno v:
In Journal of Differential Equations 5 February 2022 309:98-141
In this paper, we consider the global well-posedness problem of the isentropic compressible Navier-Stokes equations in the whole space $\R^N$ with $N\ge2$. In order to better reflect the characteristics of the dispersion equation, we make full use of
Externí odkaz:
http://arxiv.org/abs/1608.06447
In this paper, we investigate the global well-posedness for the 3-D inhomogeneous incompressible Navier-Stokes system with the axisymmetric initial data. We prove the global well-posedness provided that $$\|\frac{a_{0}}{r}\|_{\infty} \textrm{ and } \
Externí odkaz:
http://arxiv.org/abs/1512.01051
Autor:
Fang, Daoyuan, Zi, Ruizhao
Consider a global wellposed problem for the incompressible Oldroyd-B model. It is shown that this set of equations admits a unique global solution provided the initial horizontal velocity $u^h_0$, the product $\om u^d_0$ of the coupling parameter $\o
Externí odkaz:
http://arxiv.org/abs/1509.06098
In this paper, we study the three-dimensional axisymmetric Navier-Stokes system with nonzero swirl. By establishing a new key inequality for the pair $(\frac{\omega^{r}}{r},\frac{\omega^{\theta}}{r})$, we get several Prodi-Serrin type regularity crit
Externí odkaz:
http://arxiv.org/abs/1505.00905