Finite dissipation and intermittency in magnetohydrodynamics

Magnetohydrodynamics Fluid Flow and Heat Transfer over a Permeable Shrinking Sheet with Joule dissipation: Analytical Approach

A laminar, two dimensional, steady boundary layer Newtonian conducting fluid flow passes over a permeable shrinking sheet in the presence of a uniform magnetic field is investigated. The governing equations have converted to ordinary nonlinear differential equations (ODE) by using appropriate similarity transformations. The main idea is to transform ODE with infinite boundary condition into oth...

Intermittency and local dissipation scales under strong mean shear

Dissipation in finite Fermi systems

We present a systematic theory of dissipation in finite Fermi systems. This theory is based on the application of periodic orbit theory to linear response of many-body systems. We concentrate only on the mesoscopic aspect of the phenomena wherein a many-body system can be reduced to a single-body in an effective mean-field. We obtain semiclassical periodic-orbit corrections on top of the two-ti...

An adaptive finite element method for magnetohydrodynamics

We describe a procedure for the adaptive h-refinement solution of the incompressible MHD equations in stream function form using a stabilized finite element formulation. The mesh is adapted based on a posteriori spatial error estimates of the magnetic field using both recovery and order extrapolation techniques. The step size for time integration is chosen so that temporal discretization errors...

Finite element approximation for equations of magnetohydrodynamics

We consider the equations of stationary incompressible magnetohydrodynamics posed in three dimensions, and treat the full coupled system of equations with inhomogeneous boundary conditions. We prove the existence of solutions without any conditions on the data. Also we discuss a finite element discretization and prove the existence of a discrete solution, again without any conditions on the dat...