Thu, 17.05.2018, 16:15

Thu, 17.05.2018, 17:15
Optimal control of compressible Navier Stokes equation
Kolloquium Angewandte Mathematik

Speaker: Prof. Dr. Jan Sokolowski (Université Lorraine)
Host: Günter Leugering
Room: H13

Abstract: A one-dimensional free boundary problem of the motion
 of a heavy piston in a tube filled with viscous gas is
 considered. The system of governing equations and
  boundary conditions is derived. The obtained system
  of differential equations can be regarded as
  a mathematical model of an exterior combustion
  engine. The existence of an optimal control for problem of maximization
  of the useful work of the engine is shown. The method of the proof
  is constructive and can be exploited for numerical methods.