Gay-Balmaz, François; Holm, Darryl D.; Putkaradze, Vakhtang; Ratiu, Tudor S. Exact geometric theory of dendronized polymer dynamics. (English) Zbl 1257.82113 Adv. Appl. Math. 48, No. 4, 535-574 (2012). MSC: 82D60 70H33 74B20 PDF BibTeX XML Cite \textit{F. Gay-Balmaz} et al., Adv. Appl. Math. 48, No. 4, 535--574 (2012; Zbl 1257.82113) Full Text: DOI arXiv OpenURL
Ellis, David C. P.; Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S. Lagrange-Poincaré field equations. (English) Zbl 1253.70031 J. Geom. Phys. 61, No. 11, 2120-2146 (2011). Reviewer: Giovanni Giachetta (Camerino) MSC: 70S05 70S10 PDF BibTeX XML Cite \textit{D. C. P. Ellis} et al., J. Geom. Phys. 61, No. 11, 2120--2146 (2011; Zbl 1253.70031) Full Text: DOI arXiv OpenURL
Gay-Balmaz, François; Ratiu, Tudor S. Clebsch optimal control formulation in mechanics. (English) Zbl 1233.49005 J. Geom. Mech. 3, No. 1, 41-79 (2011). MSC: 49J15 49J20 37K05 58E30 70H30 PDF BibTeX XML Cite \textit{F. Gay-Balmaz} and \textit{T. S. Ratiu}, J. Geom. Mech. 3, No. 1, 41--79 (2011; Zbl 1233.49005) Full Text: DOI OpenURL
Gay-Balmaz, François; Ratiu, Tudor S. A new Lagrangian dynamic reduction in field theory. (English) Zbl 1404.58029 Ann. Inst. Fourier 60, No. 3, 1125-1160 (2010). MSC: 58E30 70H03 70H33 70S05 70S15 PDF BibTeX XML Cite \textit{F. Gay-Balmaz} and \textit{T. S. Ratiu}, Ann. Inst. Fourier 60, No. 3, 1125--1160 (2010; Zbl 1404.58029) Full Text: DOI arXiv EuDML OpenURL
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S. Variational principles for spin systems and the Kirchhoff rod. (English) Zbl 1288.70012 J. Geom. Mech. 1, No. 4, 417-444 (2009). MSC: 70H33 70G65 70G75 37J15 74K10 82D30 PDF BibTeX XML Cite \textit{F. Gay-Balmaz} et al., J. Geom. Mech. 1, No. 4, 417--444 (2009; Zbl 1288.70012) Full Text: DOI arXiv OpenURL
Gay-Balmaz, François; Ratiu, Tudor S. The geometric structure of complex fluids. (English) Zbl 1161.37052 Adv. Appl. Math. 42, No. 2, 176-275 (2009). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K65 37K05 53C80 53D17 53D20 76A15 76A25 76W05 PDF BibTeX XML Cite \textit{F. Gay-Balmaz} and \textit{T. S. Ratiu}, Adv. Appl. Math. 42, No. 2, 176--275 (2009; Zbl 1161.37052) Full Text: DOI arXiv Link OpenURL
Gay-Balmaz, François; Ratiu, Tudor S. Poisson reduction and the Hamiltonian structure of the Euler-Yang-Mills equations. (English) Zbl 1151.37057 Dito, Giuseppe (ed.) et al., Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4423-6/pbk). Contemporary Mathematics 450, 113-126 (2008). MSC: 37K65 53C80 70S15 53D17 37K05 76W05 PDF BibTeX XML Cite \textit{F. Gay-Balmaz} and \textit{T. S. Ratiu}, Contemp. Math. 450, 113--126 (2008; Zbl 1151.37057) OpenURL
Gay-Balmaz, François; Ratiu, Tudor S. The Lie-Poisson structure of the LAE-\(\alpha\) equation. (English) Zbl 1099.35096 Dyn. Partial Differ. Equ. 2, No. 1, 25-57 (2005). Reviewer: Agostino Prástaro (Roma) MSC: 35Q35 53D17 76B03 53D22 53D25 35Q05 PDF BibTeX XML Cite \textit{F. Gay-Balmaz} and \textit{T. S. Ratiu}, Dyn. Partial Differ. Equ. 2, No. 1, 25--57 (2005; Zbl 1099.35096) Full Text: DOI arXiv OpenURL
Busuioc, Adriana Valentina; Ratiu, T. S. A fluid problem with Navier-slip boundary conditions. (English) Zbl 1082.76004 Gao, David Y., Complementary, duality and symmetry in nonlinear mechanics. Proceedings of the IUTAM symposium, Shanghai, China, August 13–16, 2002. Dedicated Professor Wei-Zhang Chien on the occasion of his 90th birthday. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7887-0/hbk). Advances in Mechanics and Mathematics 6, 241-254 (2004). MSC: 76A05 35Q35 PDF BibTeX XML Cite \textit{A. V. Busuioc} and \textit{T. S. Ratiu}, Adv. Mech. Math. 6, 241--254 (2004; Zbl 1082.76004) OpenURL
Busuioc, Adriana Valentina; Ratiu, Tudor S. Some remarks on a certain class of axisymmetric fluids of differential type. (English) Zbl 1054.76006 Physica D 191, No. 1-2, 106-120 (2004). MSC: 76A05 35Q35 35Q53 76D03 PDF BibTeX XML Cite \textit{A. V. Busuioc} and \textit{T. S. Ratiu}, Physica D 191, No. 1--2, 106--120 (2004; Zbl 1054.76006) Full Text: DOI Link OpenURL
Castrillón López, M.; Muñoz Masqué, J.; Ratiu, T. Gauge invariance and variational trivial problems on the bundle of connections. (English) Zbl 1067.58013 Differ. Geom. Appl. 19, No. 2, 127-145 (2003). MSC: 58E30 17B66 22E65 53C07 81R10 PDF BibTeX XML Cite \textit{M. Castrillón López} et al., Differ. Geom. Appl. 19, No. 2, 127--145 (2003; Zbl 1067.58013) Full Text: DOI OpenURL
Busuioc, Adriana Valentina; Ratiu, Tudor S. The second-grade fluid and averaged Euler equations with Navier-slip boundary conditions. (English) Zbl 1026.76004 Nonlinearity 16, No. 3, 1119-1149 (2003). MSC: 76A05 35Q35 PDF BibTeX XML Cite \textit{A. V. Busuioc} and \textit{T. S. Ratiu}, Nonlinearity 16, No. 3, 1119--1149 (2003; Zbl 1026.76004) Full Text: DOI Link OpenURL
Castrillón López, M.; García Pérez, P. L.; Ratiu, T. S. Euler-Poincaré reduction on principal bundles. (English) Zbl 1020.58018 Lett. Math. Phys. 58, No. 2, 167-180 (2001). MSC: 58E30 53C05 PDF BibTeX XML Cite \textit{M. Castrillón López} et al., Lett. Math. Phys. 58, No. 2, 167--180 (2001; Zbl 1020.58018) Full Text: DOI OpenURL
Marsden, Jerrold E.; Ratiu, Tudor S.; Raugel, Geneviève The Euler equations on thin domains. (English) Zbl 0993.76008 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 2. Singapore: World Scientific. 1198-1203 (2000). MSC: 76B03 35Q35 35B40 PDF BibTeX XML Cite \textit{J. E. Marsden} et al., in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 2. Singapore: World Scientific. 1198--1203 (2000; Zbl 0993.76008) OpenURL
Marsden, J. E.; Ratiu, T. S.; Shkoller, S. The geometry and analysis of the averaged Euler equations and a new diffeomorphism group. (English) Zbl 0979.58004 Geom. Funct. Anal. 10, No. 3, 582-599 (2000). Reviewer: Nicolai Konstantinovish Smolentsev (Kemerovo) MSC: 58D05 58D30 76D05 PDF BibTeX XML Cite \textit{J. E. Marsden} et al., Geom. Funct. Anal. 10, No. 3, 582--599 (2000; Zbl 0979.58004) Full Text: DOI arXiv OpenURL
Castrillón López, Marco; Ratiu, Tudor S.; Shkoller, Steve Reduction in principal fiber bundles: Covariant Euler-Poincaré equations. (English) Zbl 0967.53019 Proc. Am. Math. Soc. 128, No. 7, 2155-2164 (2000). Reviewer: A.D.Osborne (Keele) MSC: 53C05 53C10 PDF BibTeX XML Cite \textit{M. Castrillón López} et al., Proc. Am. Math. Soc. 128, No. 7, 2155--2164 (2000; Zbl 0967.53019) Full Text: DOI arXiv OpenURL
Derks, Gianne; Ratiu, Tudor Attracting curves on families of stationary solutions in two-dimensional Navier-Stokes and reduced magnetohydrodynamics. (English) Zbl 0923.76349 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 454, No. 1973, 1407-1444 (1998). MSC: 76W05 76D05 35Q35 35Q30 37C70 PDF BibTeX XML Cite \textit{G. Derks} and \textit{T. Ratiu}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 454, No. 1973, 1407--1444 (1998; Zbl 0923.76349) Full Text: DOI Link OpenURL
Bloch, Anthony; Krishnaprasad, P. S.; Marsden, Jerrold E.; Ratiu, Tudor S. Dissipative perturbations of Hamiltonian flows. (English) Zbl 0807.70004 Helmke, Uwe (ed.) et al., Systems and networks: mathematical theory and applications. Proceedings of the 10th international symposium on the mathematical theory of networks and systems, MTNS ’93, held in Regensburg, Germany, August 2-6, 1993. Volume II: Invited and contributed papers. Berlin: Akademie Verlag. Math. Res. 79, 71-74 (1994). MSC: 70E15 70G45 37J40 PDF BibTeX XML Cite \textit{A. Bloch} et al., in: Systems and networks: mathematical theory and applications. Proceedings of the 10th international symposium on the mathematical theory of networks and systems, MTNS '93, held in Regensburg, Germany, August 2-6, 1993. Volume II: Invited and contributed papers. Berlin: Akademie Verlag. 71--74 (1994; Zbl 0807.70004) OpenURL
Ratiu, Tudor Euler-Poisson equations on Lie algebras and the N-dimensional heavy rigid body. (English) Zbl 0509.58026 Am. J. Math. 104, 409-448 (1982). MSC: 37J35 37K10 70H05 17B20 PDF BibTeX XML Cite \textit{T. Ratiu}, Am. J. Math. 104, 409--448 (1982; Zbl 0509.58026) Full Text: DOI Link OpenURL
Ratiu, Tudor; van Moerbeke, P. The Lagrange rigid body motion. (English) Zbl 0466.58020 Ann. Inst. Fourier 32, No. 1, 211-234 (1982). MSC: 37J99 53D50 70E15 PDF BibTeX XML Cite \textit{T. Ratiu} and \textit{P. van Moerbeke}, Ann. Inst. Fourier 32, No. 1, 211--234 (1982; Zbl 0466.58020) Full Text: DOI Numdam EuDML OpenURL
Ratiu, Tudor Euler-Poisson equations on Lie algebras and the N-dimensional heavy rigid body. (English) Zbl 0459.70007 Proc. Natl. Acad. Sci. USA 78, 1327-1328 (1981). MSC: 70E15 70H05 37J99 37J35 37K10 22E70 PDF BibTeX XML Cite \textit{T. Ratiu}, Proc. Natl. Acad. Sci. USA 78, 1327--1328 (1981; Zbl 0459.70007) Full Text: DOI OpenURL