We present the full derivation of a one-dimensional free surface pipe or open channel flow model including friction with non constant geometry. The free surface model is obtained from the three-dimensional incompressible Navier-Stokes equations under shallow water assumptions with prescribed "well-suited" boundary conditions.
The aim of the DML-CZ project (2005–2009 — Czech Academy of Sciences, Masaryk University in Brno, Charles University in Prague, Czech Republic) is to investigate, develop and apply techniques, methods and tools that would allow the creation of the Czech Digital Mathematics Library. The most important tool developed and used in the course of the project is the Metadata Editor — a complex web-based system supporting all essential steps in the development of the article oriented digital library: integration...
La structure d'un calendrier peut être décrite par une suite de formes quasi-affines. Une telle suite, que j'appellerai base quasi-affine, généralise la notion de base de numération. Le problème de la conversion de dates est ainsi ramené à l'écriture du Jour Julien dans une telle base. Un algorithme de reconnaissance de droites discrètes permet d'obtenir la bonne base quasi-affine. À titre d'exemples sont traités les calendriers julien, grégorien, musulman et judaïque.
In the contribution growths of the neoplasms (benign and malignant tumors and cysts), located in a system of loaded bones, will be simulated. The main goal of the contribution is to present the useful methods and efficient algorithms for their solutions. Because the geometry of the system of loaded and possible fractured bones with enlarged neoplasms changes in time, the corresponding mathematical models of tumor's and cyst's evolutions lead to the coupled free boundary problems and the dynamic...