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The kinetics of the discontinuous ordering reaction in the Fe-50 at.% Co alloy has been studied in the temperature range 280 400°C.
The tubed-reinforced-concrete (TRC) column is a particular type of concrete-filled steel tube (CFST) column, in which the encasing thin-walled steel tube is discontinuous in order to avoid the direct transfer of an axial load and to maximize the confinement effect from the steel tube.
Many recently developed high-order methods require a Navier Stokes flux function under piece-wise discontinuous high-order initial reconstruction.
As a result, a family of discontinuous high-order methods, such as Discontinuous Galerkin (DG), Spectral Volume (SV) and Spectral Difference (SD) methods, is under active development.
In designed sequences such as poly dA-dT) and poly dA-dT), the standing poly dG-dCbetween base poly dG-dCurages the aggregation of bastacking into bulk hairpotentialmakes the hairpin-coil transition a discontinuous (first-order) process.
Numerical accuracy and efficiency of several discontinuous high-order methods, including the quadrature-based discontinuous Galerkin (QDG), nodal discontinuous Galerkin (NDG), spectral difference (SD) and flux reconstruction/correction procedure via reconstruction (FR/CPR), for the conservation laws are analyzed and compared on both linear and curved quadrilateral elements.
In Section 2, we show how to apply Schauder's theorem to derive a pretty easy proof of existence of solutions for a class of discontinuous second-order scalar problems containing (1.2) as a particular case.
The goal of the present paper is to study the nonlocal boundary value problems (BVPs) for parameter-dependent linear differential-operator equations (DOEs) with discontinuous top-order coefficients s a ( x ) u ( 2 m ) ( x ) + A ( x ) u ( x ) + ∑ k = 0 2 m − 1 s k 2 m A k ( x ) u ( k ) ( x ) + λ u ( x ) = f ( x ), (1).
The goal of the present paper is to study the nonlocal boundary value problems (BVPs) for parameter dependent linear differential-operator equations (DOEs) with discontinuous top-order coefficients, s a ( x ) u ( 2 ) ( x ) + A ( x ) u ( x ) + s 1 2 A 1 ( x ) u ( 1 ) ( x ) + A 0 ( x ) u ( x ) + λ u ( x ) = f ( x ), (1).
Second, we apply our new result to prove the existence of solutions of a large class of discontinuous second-order ODEs subject to separated BCs, complementing the results of [1] and improving them also in the special case of Dirichlet BCs.
So far, the crystalline transition from the low-temperature phase to the high-temperature phase had been assumed to occur continuously, but the detailed analysis of the X-ray reflections at higher scattering angles revealed for the first time that the transition is of the thermodynamically-discontinuous first-order type between the monoclinic and the pseudohexagonal phases.
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Justyna Jupowicz-Kozak
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