The recognition and the calculation of all branches of solutions of the nonlinear boundary value problems is difficult obviously. The complexity of this issue goes back to the being nonlinearity of the problem. Regarding this matter, this paper considers steady state reactive transport model which does not have exact closed-form solution and discovers existence of dual or triple solutions in so...

Abstract. This study establishes a new procedure for selecting the control parameters in preconditioning methods used to simulate low Mach number compressible flows. The main parameter studied here is the pseudo speed of sound. Its formula is derived in the literature from an analysis of the governing equations at low Mach numbers, making sure their respective eigenvalues have the same order of...

A mixed culture capable of dechlorinating perchloroethylene (PCE) to ethene was analyzed under non steady and pseudo-steady state conditions. Dehalococcoides mccartyi, considered to be the primary dechlorinating bacterium able to completely degrade chlorinated hydrocarbons to non toxic ethene, could be detected by CAtalyzed Reporter Deposition Fluorescence In Situ Hybridization (CARD-FISH) sinc...

The transient kinetic behavior of enzyme reactions prior to the establishment of steady state is a major source of mechanistic information, yet this approach has not been utilized for cellulases acting on their natural substrate, insoluble cellulose. Here, we elucidate the pre-steady-state regime for the exo-acting cellulase Cel7A using amperometric biosensors and an explicit model for processi...

Analytical and experimental convergence results are presented for a novel pseudo-unsteady solution method for higher-order accurate upwind discretizations of the steady Euler equations. Comparisons are made with an existing pseudo-unsteady solution method. Both methods make use of nonlinear multigrid for acceleration and nested iteration for the fine-grid initialization. The new method uses ite...

We propose the use of pseudo-singular values, which are closely related to singular values but are allowed to have sign, as a convenient approach for developing techniques for the identification and control of large-scale processes. Steady-state controllability can be assessed directly in terms of the pseudo-singular values. It is shown that to control an output disturbance direction with zero ...