Academy of Mathematics and Systems Science, CAS Colloquia & Seminars Speaker: Prof. Hyeong-Ohk Bae, Ajou University, Korea Title: Stability for compressible barotropic viscous motions Time: 2010.2.4 4:00pm Venue: Room:S703 Abstract: The existence of global regular solutions to the equations describing compressible Barotropic viscous motions which are close to some special sufficiently regular solutions is proved. The necessary estimate is proved by the energy method Appropriate for the compressible Navier-Stokes equations. Finally, the existence is proved by the method of successive approximations. We have to underline that the solutions is not small because we have a smallness condition on the difference between our solutions and some special sufficiently regular solution. By the special solution we mean a sufficiently regular solution to the compressible Navier-Stokes Equations with some symmetry. The following examples of special solutions are known: spherically symmetric or axially symmetric. Affiliation: