Zobrazeno 1 - 10
of 57
pro vyhledávání: '"35Q35, 76W05"'
In this paper, we address the 3D incompressible Hall-magnetohydrodynamic system (Hall-MHD). Our objective is to provide local and global well-posedness results for initial velocity $u_{0}$, magnetic field $B_{0}$ and the current $J_{0}:=\nabla\times
Externí odkaz:
http://arxiv.org/abs/2410.20465
We prove the existence of large amplitude bi-periodic traveling waves (stationary in a moving frame) of the two-dimensional non-resistive Magnetohydrodynamics (MHD) system with a traveling wave external force with large velocity speed $\lambda (\omeg
Externí odkaz:
http://arxiv.org/abs/2401.17943
In this paper, we investigate a Stokes-Magneto system with fractional diffusions. We first deal with the non-resistive case in $\mathbb{T}^{d}$ and establish the local and global well-posedness with initial magnetic field $\mathbf{b}_0\in H^{s}(\math
Externí odkaz:
http://arxiv.org/abs/2310.03255
Stability threshold of the 2D Couette flow in a homogeneous magnetic field using symmetric variables
Autor:
Dolce, Michele
We consider a 2D incompressible and electrically conducting fluid in the domain $\mathbb{T}\times\mathbb{R}$. The aim is to quantify stability properties of the Couette flow $(y,0)$ with a constant homogenous magnetic field $(\beta,0)$ when $|\beta|>
Externí odkaz:
http://arxiv.org/abs/2308.12589
Autor:
Kim, Hyunseok, Kwon, Hyunwoo
We consider a Stokes-Magneto system in $\mathbb{R}^d$ ($d\geq 2$) with fractional diffusions $\Lambda^{2\alpha}\boldsymbol{u}$ and $\Lambda^{2\beta}\boldsymbol{b}$ for the velocity $\boldsymbol{u}$ and the magnetic field $\boldsymbol{b}$, respectivel
Externí odkaz:
http://arxiv.org/abs/2302.02046
We consider a general class of non-diffusive active scalar equations with constitutive laws obtained via an operator $\mathbf{T}$ that is singular of order $r_0\in[0,2]$. For $r_0\in(0,1]$ we prove well-posedness in Gevrey spaces $G^s$ with $s\in[1,\
Externí odkaz:
http://arxiv.org/abs/2212.01835
Autor:
Tan, Zhong, Wu, Zhonger
In this paper, we obtain global small solutions and decay estimates for the MHD boundary layer in Gevrey space without any structural assumptions, generalizing the results of \cite{NL} in analytic space. The proof method is mainly inspired by \cite{W
Externí odkaz:
http://arxiv.org/abs/2209.10186
Autor:
Scherz, Jan
We consider a system of multiple insulating rigid bodies moving inside of an electrically conducting compressible fluid. In this system we take into account the interaction of the fluid with the bodies as well as with the electromagnetic fields tresp
Externí odkaz:
http://arxiv.org/abs/2208.06300
Autor:
Friedlander, Susan, Suen, Anthony
Many equations that model fluid behaviour are derived from systems that encompass multiple physical forces. When the equations are written in non dimensional form appropriate to the physics of the situation, the resulting partial differential equatio
Externí odkaz:
http://arxiv.org/abs/2011.08454
Autor:
Friedlander, Susan, Suen, Anthony
We investigate the properties of an abstract family of advection diffusion equations in the context of the fractional Laplacian. Two independent diffusion parameters enter the system, one via the constitutive law for the drift velocity and one as the
Externí odkaz:
http://arxiv.org/abs/2005.10667