Objectif The Navier-Stokes system describes the motion of incompressible fluids and is one of the most difficult non-linear systems of partial differential equations in mathematical physics. On the other hand, one cannot overestimate the significance of the problems related to this system because of its numerous applications in science, industry and other aspects of life. The existence and uniqueness theorems, as well as different numerical methods for finding solutions of this system, attract many mathematical and mechanical schools. Recently, a group at the University of Stuttgart, with the help of scientists from St. Petersburg University and St. Petersburg Electrotechnical University, have obtained some new pointwise estimates for strong solutions of the Navier-Stokes system. These results pave the way for a new approach in the application of different approximation methods for solving some three-dimensional problems. New theoretical results for strong solutions are also expected. These numerical methods will be: the variational-difference methods used in St. Petersburg; finite element approximations and corresponding robust multi-grid methods and filtering decompositions; coupled variational boundary integral equation methods with finite and boundary elements (both in Stuttgart); approximate approximations in Linkoping. Since pressure and velocity governed by the Navier-Stokes equations develop singularities at non-regular boundary points, corresponding asymptotic expansions near vertex and edge points will be considered with various boundary conditions. The research on expansions near a vertex will be based on a detailed analysis of the spectrum of operator pencils associated with the Stokes system in the cone. Programme(s) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Thème(s) 21 - Mathematics Appel à propositions Data not available Régime de financement Data not available Coordinateur Universität Stuttgart Contribution de l’UE Aucune donnée Adresse Pfaffenwaldring 57 70569 Stuttgart Allemagne Voir sur la carte Coût total Aucune donnée Participants (3) Trier par ordre alphabétique Trier par contribution de l’UE Tout développer Tout réduire Linköping University Suède Contribution de l’UE Aucune donnée Adresse 58183 Linköping Voir sur la carte Coût total Aucune donnée St. Petersburg State University Russie Contribution de l’UE Aucune donnée Adresse 198904 St. Petersburg Voir sur la carte Coût total Aucune donnée Weierstraß-Institut for Applied Analysis and Stochastics Allemagne Contribution de l’UE Aucune donnée Adresse 10117 Berlin Voir sur la carte Coût total Aucune donnée
