On partially dissipative systems

Abstract: In this talk, we will investigate the dynamics of three mechanical systems: a rigid body with a damper, a system of rigid bodies with a fluid-filled gap, and a harmonic oscillator in a fluid-filled pipe. The equations governing the motion of these systems are “partially dissipative”, in that there exists an energy functional that decreases along the trajectories, while other physical variables are conserved or even excited during the motion. The objective of our investigations is to describe the “stabilization properties” of the systems. By “stabilization” we mean either convergence of each trajectory to a stationary solution or the existence of periodic solutions to the governing equations corresponding to forces with arbitrary frequencies.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor).