We deal with well-posedness and asymptotic dynamics of a class of coupled systems consisting of linearized 3D Navier–Stokes equations in a bounded domain and a classical (nonlinear) elastic plate/shell equation. We consider three models for plate/shell oscillations: (a) the model which accounts for transversal displacement of a flexible flat part of the boundary only, (b) the model for in-plane...

We study the world volume theory of D3-branes wrapping the Melvin universe supported by background NSNS B-field. In the appropriate decoupling limit, the open string dynamics is that of non-commutative guage field theory with non-constant noncommutativity. We identify this model as a simple Melvin twist of flat D3 branes. Along similar lines, one recognizes the model of Hashimoto and Sethi as b...

The article processing charge (APC) is currently the primary method of funding professionally published Open Access peer reviewed journals. The pricing principles of 77 OA publishers publishing over 1000 journals using APCs were studied and classified. The most commonly used pricing method is a single fixed fee, which can either be the same for all of a publisher’s journals or individually dete...

For an outsider innovator in a Cournot oligopoly, royalty licensing could be superior to both fixed fee and auction. The result depends on a simple fact that has been overlooked in the existing literature, namely, the number of licenses can take only integer values.  2004 Elsevier Inc. All rights reserved. JEL classification: D21; D43; D45

This paper presents a comparative statics result on a rental housing market. The relationship between the qualities of apartments and their rents is investigated. Our comparative statics considers rent changes when an improvement occurs in a local area of the market. We show that rents go up locally in response to the improvement, but rents go down in the inner area of the city. To show the dis...

This paper discusses necessary and sufficient conditions on a monoid S, such that a class D of left S-acts is first order axiomatisable. Such questions have previousely been considered by Bulman-Fleming, Gould, Stepanova and others. Let C be a class of embeddings of right S-acts. A left S-act B is C-flat if tensoring with any B ∈ D preserves the embeddings in C. We find one or two (depending on...

In this paper, the motion planning problem is studied for nonlinear differentially flat systems using B-splines parametrization of the flat output history. In order to satisfy the constraints continuously in time, the motion planning problem is transformed into a B-splines positivity problem. The latter problem is formulated as a convex semidefinite programming problem by means of a non-negativ...