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This book presents a unified study of dynamically coupled systems
involving a rigid body and an ideal fluid flow from the perspective
of Lagrangian and Hamiltonian mechanics. It compiles theoretical
investigations on the topic of dynamically coupled systems using a
framework grounded in Kirchhoff's equations. The text achieves a
balance between geometric mechanics, or the modern theories of
reduction of Lagrangian and Hamiltonian systems, and classical
fluid mechanics, with a special focus on the applications of these
principles. Following an introduction to Kirchhoff's equations of
motion, the book discusses several extensions of Kirchhoff's work,
particularly related to vortices. It addresses the equations of
motions of these systems and their Lagrangian and Hamiltonian
formulations. The book is suitable to mathematicians, physicists
and engineers with a background in Lagrangian and Hamiltonian
mechanics and theoretical fluid mechanics. It includes a brief
introductory overview of geometric mechanics in the appendix.
This book presents a unified study of dynamically coupled systems
involving a rigid body and an ideal fluid flow from the perspective
of Lagrangian and Hamiltonian mechanics. It compiles theoretical
investigations on the topic of dynamically coupled systems using a
framework grounded in Kirchhoff's equations. The text achieves a
balance between geometric mechanics, or the modern theories of
reduction of Lagrangian and Hamiltonian systems, and classical
fluid mechanics, with a special focus on the applications of these
principles. Following an introduction to Kirchhoff's equations of
motion, the book discusses several extensions of Kirchhoff's work,
particularly related to vortices. It addresses the equations of
motions of these systems and their Lagrangian and Hamiltonian
formulations. The book is suitable to mathematicians, physicists
and engineers with a background in Lagrangian and Hamiltonian
mechanics and theoretical fluid mechanics. It includes a brief
introductory overview of geometric mechanics in the appendix.
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