We study the phase space of the evolution equation ht = −(f(h)hxxx)x − (g(h)hx)x by means of a dissipated energy (a Liapunov function). Here h(x, t) ≥ 0, and at h = 0 the coefficient functions f > 0 and g can either degenerate to 0, or blow up to ∞, or tend to a nonzero constant. We first show all positive periodic steady states are ‘energy unstable’ fixed points for the evolution (meaning the ...

how inflation taxation affects resource allocation and welfare has received a great deal of attention. so far, this debate has been controversial. in this paper we examine how nominal money growth as a means of public finance affects resource allocation and welfare in a neoclassical endogenous growth model with leisure and money in the utility function and production externality. the present st...

This paper presents a Closed Loop CLL-T (capacitor inductor inductor) Series Parallel Resonant Converter (SPRC) has been simulated and the performance is analysised. A three element CLL-T SPRC working under load independent operation (voltage type and current type load) is presented in this paper. The Steady state Stability Analysis of CLL-T SPRC has been developed using State Space technique a...

Article presents results of study on possibility of increasing the efficiency of drilling directional straight sections of wells using screw downhole motors (SDM) with a combined method of drilling with rotation of drilling string (DS). Goal is to ensure steady-state operation of SDM with simultaneous rotation of DS by reducing the amplitude of oscillations with adjusting the parameters of dril...

A model for an imperfectly mixed batch reactor with the chlorine dioxide-iodine-malonic acid (CDIMA) reaction, with the mixing being modelled by chaotic advection, is considered. The reactor is assumed to be operating in oscillatory mode and the way in which an initial spatial perturbation becomes homogenized is examined. When the kinetics are such that the only stable homogeneous state is osci...

AIMS To investigate the dynamics of binary culture biofilm formation through use of both the Sorbarod model of biofilm growth and the constant depth film fermenter (CDFF). METHODS AND RESULTS Pseudo steady-state biofilm cultures of laboratory and clinical strains of Pseudomonas aeruginosa, selected on the basis of their ability to produce a Burkholderia cepacia growth-inhibitory substance, we...

We propose a class of virus dynamics models with multitarget cells and multiple intracellular delays and study their global properties. The first model is a 5-dimensional system of nonlinear delay differential equations DDEs that describes the interaction of the virus with two classes of target cells. The second model is a 2n 1 -dimensional system of nonlinear DDEs that describes the dynamics o...

For finite adspecies mobility, the lattice-gas monomer-dimer (AϩB 2) surface reaction model exhibits a discontinuous transition from a stable reactive steady state to a stable A-poisoned steady state, as the impinge-ment rate P A for A increases above a critical value P*. The reactive ͑poisoned͒ state is metastable for P A just above ͑below͒ P*. Increasing the surface mobility of A enhances metasta...

CSTR plays a vital role in almost all the chemical industries. Continuous Stirred Tank Reactor (CSTR) is a highly nonlinear process. The CSTR process is analysed for stability conditions by investigating the eigen values. Also Phase plane trajectory is constructed to analyse the CSTR. CSTR exhibits stable and unstable steady state at different regions. Control of CSTR in the complete range is a...