The theory of algebraic curves and quadrature domains is used to construct exact solutions to the problem of the squeeze flow of multiply-connected fluid domains in a Hele-Shaw cell. The solutions are exact in that they can be written down in terms of a finite set of time-evolving parameters. The method is very general and applies to fluid domains of any finite connectivity. By way of example, ...

We prove that the KdV-Burgers is globally well-posed in H−1(T) with a solution-map that is analytic fromH−1(T) to C([0, T ];H−1(T)) whereas it is ill-posed in Hs(T), as soon as s < −1, in the sense that the flow-map u0 7→ u(t) cannot be continuous from H s(T) to even D′(T) at any fixed t > 0 small enough. In view of the result of Kappeler and Topalov for KdV it thus appears that even if the dis...

We prove that the Benjamin-Ono equation is globally well-posed in Hs(T) for s ≥ 0. Moreover we show that the associated flow-map is Lipschitz on every bounded set of Hs 0 (T), s ≥ 0, and even real-analytic in this space for small times. This result is sharp in the sense that the flow-map (if it can be defined and coincides with the standard flow-map on H∞ 0 (T)) cannot be of class C , α > 0, fr...

We present comprehensive modeling of a SiGeSn multi-quantum well laser that has been previously experimentally shown to feature an order magnitude reduction in the optical pump threshold compared bulk lasers. combine experimental material data obtained over last few years with k <mml:m...

traceability is a basic requirement for the most of products from the viewpoint of governments and customers. it has base of quality systems and supports integration of supply chain information systems. this paper has presented a holistic model for supply chain traceability through structural equation modeling. this model will support recall of products, quality assurance requirements, improve ...

Uncertainty plays a significant role in modeling and optimization of real world systems. Among uncertain approaches, fuzziness describes impreciseness while for ambiguity another definition is required. Vagueness is a probabilistic model of uncertainty being helpful to include ambiguity into modeling different processes especially in industrial systems. In this paper, a vague set based on dista...

the momentum equation in the kinematic wave model is a power-law equation with two parameters. these parameters, which relate the discharge to the flow area, are commonly derived using manning’s equation. in general, the values of these parameters depend on the flow depth except for some special cross sections. in this paper, improved estimates of the kinematic wave parameters for circular chan...

A number of process modelling notations use connectors for the representation of the control-flow while others apply the token game. There are number of good arguments in favour as well as against each to these two ways of representing the control-flow. This contribution describes the results of an empirical comparison of these two approaches from the end-used perspective. The overall outcome o...

This research includes of the numerical modeling of fluids in two-dimensional cavity. The cavity flow is an important theoretical problem. In this research, modeling was carried out based on an alternating direction implicit via Vorticity-Stream function formulation. It evaluates different Reynolds numbers and grid sizes. Therefore, for the flow field analysis and prove of the ability of the sc...