Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Abidi, Hammadi"'
We investigate the global unique Fujita-Kato solution to the 3-D inhomogeneous incompressible Navier-Stokes equations with initial velocity $u_0$ being sufficiently small in critical spaces and with initial density being bounded from above and below.
Externí odkaz:
http://arxiv.org/abs/2410.09386
In this paper, we establish the global existence and uniqueness of solution to $2$-D inhomogeneous incompressible Navier-Stokes equations \eqref{1.2} with initial data in the critical spaces. Precisely, under the assumption that the initial velocity
Externí odkaz:
http://arxiv.org/abs/2312.03990
Consideration in this paper is the global well-posedness for the 3D axisymmetric MHD equations with only vertical dissipation and vertical magnetic diffusion. The existence of unique low-regularity global solutions of the system with initial data in
Externí odkaz:
http://arxiv.org/abs/2310.06432
Publikováno v:
In Journal of Differential Equations 15 November 2024 409:635-663
Publikováno v:
In Journal of Differential Equations 15 October 2024 406:126-173
Autor:
Abidi, Hammadi, Gui, Guilong
Without any smallness assumption, we prove the global unique solvability of the 2-D incompressible inhomogeneous Navier-Stokes equations with initial data in the critical Besov space, which is almost the energy space in the sense that they have the s
Externí odkaz:
http://arxiv.org/abs/1908.02216
Autor:
Abidi, Hammadi, Zhang, Ping
In this paper, we prove the global existence of smooth solutions to the three-dimensional incompressible magneto-hydrodynamical system with initial data close enough to the equilibrium state, $(e_3,0).$ Compared with the the previous works \cite{XLZM
Externí odkaz:
http://arxiv.org/abs/1511.02978
Autor:
Abidi, Hammadi, Sakrani, Saoussen
This paper deals with the global existence and uniqueness results for the three-dimensional incompressible Euler equations with a particular structure for initial data lying in critical spaces. In this case the BKM criterion is not known.
Externí odkaz:
http://arxiv.org/abs/1506.08605
Autor:
Abidi, Hammadi, Zhang, Ping
In this paper, we investigate the global regularity to 3-D inhomogeneous incompressible Navier-Stokes system with axisymmetric initial data which does not have swirl component for the initial velocity. We first prove that the $L^\infty$ norm to the q
Externí odkaz:
http://arxiv.org/abs/1409.2953
Autor:
Abidi, Hammadi, Zhang, Ping
Given solenoidal vector $u_0\in H^{-2\d}\cap H^1(\R^2),$ $\r_0-1\in L^2(\R^2),$ and $\r_0 \in L^\infty\cap\dot{W}^{1,r}(\R^2)$ with a positive lower bound for $\d\in (0,\f12)$ and $2
Externí odkaz:
http://arxiv.org/abs/1301.2371