This paper is devoted to the study of nonlinear stability steady incompressible Euler flows in two dimensions. We prove that a flow nonlinearly stable L p <mml:annotation encoding="applicati...

Abstract A unified framework for fourth-order semilinear problems with trilinear nonlinearity and general sources allows quasi-best approximation lowest-order finite element methods. This paper establishes the stability a priori error control in piecewise energy weaker Sobolev norms under minimal hypotheses. Applications include stream function vorticity formulation of incompressible 2D Navier-...

We study in detail, solving the Bogoliubov-de Gennes equations, the magnetic field, supercurrent and order parameter profiles originated by a solenoid or magnetic whisker inserted in a type-II superconductor. We consider solutions of different vorticities, n, in the various cases. The results confirm the connection between the vorticity, the internal currents and the boundstates in a self-consi...

The involvement of non-linear convection effects in a natural convective fluid flow and heat transfer along with the magnetic field porous cavity is studied numerically. Cu-water filled higher temperature at left wall lower right wall. governing equations are organized to achieve required by using two-dimensional energy, continuity momentum. Vorticity-stream function based dimensionless solved ...

A numerical simulation of unsteady plumes for driven thermal high convection dominated flows is presented in this work. The problem practical interest example the cooling electronic devices and heat transfer from pipes exchange systems. This kind may be modeled using Boussinesq approximation Stream function-vorticity formulation. Results are obtained with a simple method previously reported iso...

The magnetohydrodynamic (MHD) is the study of the interaction of electrically conducting fluids and electromagnetic fields. This paper presents the numerical modelling of the coupling electromagnetichydrodynamic phenomena using the Finite volume Method (FVM) in cylindrical coordinate and the stream vorticity formulation ξ, ψ in two-dimensional in an annular induction MHD pump. The magnetic indu...

− Vertical coupling between shallow and deep mesoscale eddy processes in the southwestern Japan/East Sea is investigated using acoustic travel-time and bottom pressure measurements from a two-year deployment of an array of pressure-gauge-equipped inverted echo sounders. Canonical correlation analysis is applied to the simultaneously measured data to extract the coupled modes. The upper layer ex...

In order to obtain a description of the hydrographic state of the North Atlantic Current-Subpolar Front (NAC-SPF) system, historical hydrographic data from the subpolar North Atlantic are projected into a baroclinic stream function space, resulting in three dimensional gravest empirical mode (GEM) fields for temperature and specific volume anomaly, parameterized by pressure, dynamic height, and...

A solar effect on streamflow in the Midwestern United States is described and supported in a six-step physical connection between total solar irradiance (TSI), tropical sea-surface temperatures (SSTs), extratropical SSTs, jet-stream vorticity, surface-layer vorticity, precipitation, and streamflow. Variations in the correlations among the individual steps indicate that the solar/hydroclimatic m...

This is a study of singular solutions of the problem of traveling gravity water waves on flows with vorticity. We show that, for a certain class of vorticity functions, a sequence of regular waves converges to an extreme wave with stagnation points at its crests. We also show that, for any vorticity function, the profile of an extreme wave must have either a corner of 120◦ or a horizontal tange...