Zobrazeno 1 - 7
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pro vyhledávání: '"Xuhuan Zhou"'
Autor:
Xuhuan Zhou, Weiliang Xiao
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 238,, Pp 1-7 (2017)
We prove the existence of a non-negative solution for a linear degenerate diffusion transport equation from which we derive the existence and uniqueness of the solution for the fractional porous medium equation in Sobolev spaces $H^\alpha$ with no
Externí odkaz:
https://doaj.org/article/1ff7e8bc1ff74700a716688cad8a298f
Autor:
Xuhuan Zhou, Weiliang Xiao
Publikováno v:
Journal of Function Spaces, Vol 2018 (2018)
We estimate the norm of the product of two scale functions in Fourier-Besov spaces. As applications of these algebra properties, we establish the global well-posedness for small initial data and local well-posedness for large initial data of the gene
Externí odkaz:
https://doaj.org/article/5f27f64e67bb4604a0760bd285045dbb
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 261,, Pp 1-14 (2015)
We study the generalized porous medium equation of the form $u_t+\nu \Lambda^{\beta}u=\nabla\cdot(u\nabla Pu)$ where P is an abstract operator. We obtain the local well-posedness in Besov spaces for large initial data, and show the solution become
Externí odkaz:
https://doaj.org/article/9838ff7864d64c68aa240827543d6483
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 199,, Pp 1-14 (2014)
In this article, we consider the evolution model $$ \partial_t{u} -\nabla\cdot(u\nabla Pu)=0,\quad Pu=(-\Delta)^{-s}u, \quad 0< s\leq 1,\; x\in\mathbb{R}^d,\; t>0. $$ We show that when $s\in[1/2,1)$, $\alpha>d+1$, $d\geq 2$, the equation has a
Externí odkaz:
https://doaj.org/article/a52e656053e44e0e978bfbd9b0305b87
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We study the Cauchy problem of the fractional Navier-Stokes equations in critical Fourier-Besov spaces FB˙p,q1-2β+3/p′. Some properties of Fourier-Besov spaces have been discussed, and we prove a general global well-posedness result which covers
Externí odkaz:
https://doaj.org/article/fa366fee7e0c45169b6ea63ac35089ee
Autor:
Weiliang Xiao Xuhuan Zhou
Publikováno v:
Journal of Mathematical Study. 53:316-328
Publikováno v:
Journal of Information Processing Systems; 2019, Vol. 15 Issue 6, p1449-1461, 13p