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Skip to Search Results- 1Actively deforming porous media
- 1Calculus of variations
- 1Chaotic dynamics
- 1Dynamical systems
- 1Euler-Poincaré's method
- 1Geometric variational principle
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Fall 2017
This thesis investigates the optimal control of two nonholonomic mechanical systems, Suslov's problem and the rolling ball. Suslov's problem is a nonholonomic variation of the classical rotating free rigid body problem, in which the body angular velocity must always be orthogonal to a prescribed,...
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Fall 2021
In this thesis, I developed the ideas of applying the variational method in geometric mechanics to the porous media described as solid elastic materials with embedded ideal (incompressible) fluid, also known as Eulerian fluid. The work includes four chapters and a conclusion. In the Introduction,...