Results 41 to 50 of about 448 (85)
Hall MHD and electron inertia effects in current sheet formation at a magnetic neutral line
An exact self-similar solution is used to investigate current sheet formation at a magnetic neutral line in incompressible Hall magnetohydrodynamics. The collapse to a current sheet is modelled as a finite-time singularity in the solution for electric ...
Y. Litvinenko, Liam C. McMahon
semanticscholar +1 more source
On the asymptotic linking number [PDF]
We prove a theorem formulated by V. I. Arnold concerning a relation between the asymptotic linking number and the Hopf invariant of divergence-free vector fields. Using a modified definition for the system of short paths, we prove their existence in the general case.
arxiv +1 more source
Generalized solutions of the fractional Burger’s equation
We investigate the solutions for the fractional Burger’s equation based on the Jumarie fractional derivative using Bernoulli polynomials. We find general solutions for such problems. Comparison with other methods is presented.
Muhammed I. Syam+4 more
doaj
The aim of this paper is to study numerically the blood flow in an arterial segment in the presence of an externally applied magnetic field and body acceleration by considering the fluid to be incompressible and Newtonian.
M. Parida
semanticscholar +1 more source
In this study, we consider the initial boundary value problem of the planar magnetohydrodynamics (MHD) system when the viscous coefficients and heat conductivity depend on the temperature, which are assumed to be proportional to θα{\theta }^{\alpha }, α ...
Shang Zhaoyang, Yang Erjia
doaj +1 more source
The solution of Cahn-Allen equation based on Bernoulli sub-equation method
In this article, we present an analytical method for finding the solutions of the Cahn-Allen equation (CAE) based on the Bernoulli sub-equation method (BSEM). We find an infinite number of solutions which are divided into eight families.
Muhammed I. Syam
doaj
In this paper, we establish two new regularity criteria for the 3D magneto-micropolar fluids in terms of one directional derivative of the velocity or of the pressure and the magnetic field.MSC:35Q35, 76W05, 35B65.
Zhaoyin Xiang, Huizhi Yang
semanticscholar +1 more source
Two-layer-atmospheric blocking in a medium with high nonlinearity and lateral dispersion
Herein, the extended coupled Kadomtsev–Petviashvili equation (CKPE) with lateral dispersion is investigated for studying the atmospheric blocking in two layers.
M.S. Osman+2 more
doaj
Roe-type schemes for shallow water magnetohydrodynamics with hyperbolic divergence cleaning [PDF]
We discuss Roe-type linearizations for non-conservative shallow water magnetohydrodynamics without and with hyperbolic divergence cleaning.
arxiv
On the temporal decay for the Hall-magnetohydrodynamic equations [PDF]
We establish temporal decay estimates for weak solutions to the Hall-magnetohydrodynamic equations. With these estimates in hand we obtain algebraic time decay for higher order Sobolev norms of small initial data solutions.
arxiv