The objectives are defined
in accordance with basic intentions of the Mechanics Colloquium,
that is to apply modern mathematical methods and concepts to
problems in mechanics and, on the other hand, to help create
mathematics applicable to such problems. They can be described as
follows.
- 1. Reexamination of
basic principles of mechanics.
- 2. Formulation of
general theorems on the control of motion and
applications to mechanic systems. Extending theorems on
the stability and equilibrium to systems with
timedependent constraints; nonlinear dynamic systems;
practical stability.
- 3. Modern
mathematical methods in mechanics: nonautonomous and
nonholonomic systems. Integrability and nonintegrability
of a system with unilateral constraints.
- 4. The motion of
rigid bodies and their inertial structure.
- 5. Theory and
applications of: isothermic and nonisothermic fluid flow,
mixtures, turbulence.
