with an arbitrary constant c . As DARBOUX has proved ([4]), this (with nonnegative c's) is also the most general solution of (1) which is nonnegative for positive -Ys (it is even enough to suppose the nonnegativity for small positive x's) . But without any regularity-suppositions (2) isn't anymore the most general solution of (I) . this can be shown and at the same time the most general solutio...

D Beltrán-Valero de Bernabé, H van Bokhoven, E van Beusekom, W Van den Akker, S Kant, W B Dobyns, B Cormand, S Currier, B Hamel, B Talim, H Topaloglu, H G Brunner . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

This article examines the heat and mass transfer capabilities of a constitutive model in thermally evolving steady laminar Jeffery–Hamel flow through convergent-plate channel, including streamwise conduction with step changes uniform wall temperature. A problem simple shear is used to undertake comparative computational analysis thermal behavior viscoelastic fluid subjected autocatalytic proces...

In the paper we prove that axiom CPA prism, which follows from the Covering Property Axiom CPA and holds in the iterated perfect set model, implies that there exists a Hamel basis which is a union of less than continuum many pairwise disjoint perfect sets. We will also give two consequences of this last fact. 1 The result and its consequences In this paper we will use standard set theoretic ter...

We present two results on attitude estimation using vector and rate gyro measurements, when both sets of measurements are biased. The first result concerns an observer for attitude and gyro bias that has previously been presented by Hamel and Mahony, and by Mahony, Hamel, and Pflimlin, with proven almost-global stability results when either (i) the reference vectors in the inertial frame are st...

The article solves the Jeffery–Hamel flow with analytically method and the effect of external magnetic field is studied. The traditional Navier-Stoks equation of fluid mechanics and Maxwell’s electromagnetism governing equations reduce to nonlinear ordinary differential equations to model this problem. Differential transformation is applied in order to obtain analytical solution of the governin...