Journal of Computational Mathematics, Vol. 29, No. 5 (September 2011), pp. 589-604 (16 pages) An optimal control problem governed by the Stokes equations with L²-norm state constraints is studied.

The study of boundary value problems and optimal control in fluid dynamics constitutes a vital area in applied mathematics and engineering. These techniques form the foundation for formulating and ...

"We are surrounded by a huge number of systems - biological, technical, economic, which we can influence, which we can control. The task is to do it optimally, for example, reaching the desired point ...

The Riemann problem for a two-dimensional hyperbolic system of pressureless gas dynamics equations is considered here. Riemann solutions are constructed for any piecewise-constant initial data having ...