A derivation of Young's equation based on the energy balance near the contact line is presented. Our proposal is rigorous and avoids the errors identified in the usual local derivation. It is valid under very general conditions (for any geometry, in a gravitational field and for compressive fluids). Deviations of the contact angle from Young's equation are discussed in several cases: surfaces o...

In this paper1 we present an extension of MCTAGs with Local Shared Derivation (Seddah, 2008) which can handle non local elliptic coordinations. Based on a model for control verbs that makes use of so-called ghost trees, we show how this extension leads to an analysis of argument cluster coordinations that provides an adequate derivation graph. This is made possible by an original interpretation...

In this paper, mechanics of continuum with general form nonlocality in space and time is considered. Some basic concepts nonlocal are discussed. General fractional calculus (GFC) vector (GFVC) used as mathematical tools for constructing media time. Balance equations mass, momentum, energy, which describe conservation laws continuum, derived by using the fundamental theorems GFC. The balance equ...

Abstract 2-Local derivations on real matrix algebras over unital semi-prime Banach are considered. Using the analogue of result that any 2-local derivation algebra $$M_{2^n}(A)$$ M 2 n ( A ...

Building on a previous derivation of the local chiral projector for a two dimensional superspace with eight real supercharges, we provide the complete density projection formula required for locally supersymmetrical theories in this context. The derivation of this result is shown to be very efficient using techniques based on the Ectoplasmic construction of local measures in superspace.

In the present paper, we prove that every local and $2$-local derivation of complex finite-dimensional simple Filippov algebra is a derivation. As corollary have description all derivations semisimple algebras. All ternary Malcev $M_8$ are described. It first example admits pure derivations, i.e. which not

This paper presents a theoretical derivation and computer simulation of an optimal speed controller for a brushless dc motor using feedback from a linear model running in parallel with the inverter-fed model. The intent of the feedback from the linear model is to eliminate torque ripples from the inverter drive. A nonlinear model of such a motor, transformed into a linear model by a local diphe...

This paper is devoted to studying 2-local derivations on the planar Galilean conformal algebra. We prove that every derivation algebra a derivation.