T
Tudor S. Ratiu
Researcher at École Polytechnique Fédérale de Lausanne
Publications - 353
Citations - 18691
Tudor S. Ratiu is an academic researcher from École Polytechnique Fédérale de Lausanne. The author has contributed to research in topics: Symplectic geometry & Lie group. The author has an hindex of 55, co-authored 353 publications receiving 17716 citations. Previous affiliations of Tudor S. Ratiu include Washington University in St. Louis & University of California, Berkeley.
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BookDOI
Introduction to mechanics and symmetry
TL;DR: A basic exposition of classical mechanical systems; 2nd edition Reference CAG-BOOK-2008-008 Record created on 2008-11-21, modified on 2017-09-27 as mentioned in this paper.
Book
Manifolds, tensor analysis, and applications
TL;DR: In this paper, the authors provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists, including manifolds, dynamical systems, tensors, and differential forms.
Journal ArticleDOI
The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories
TL;DR: In this article, the Lagrangian analogue of Lie-Poisson Hamiltonian systems is defined on semidirect product Lie algebras, and an abstract Kelvin-Noether theorem for these equations is derived.
Book
Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems
TL;DR: This second edition has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises.
Journal ArticleDOI
Nonlinear stability of fluid and plasma equilibria
TL;DR: The Liapunov method for establishing stability has been used in a variety of fluid and plasma problems, such as MHD, multilayer quasigeostrophic flow, adiabatic flow and the Poisson-Vlasov equation.