Pavlov, D.; Mullen, P.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. Structure-preserving discretization of incompressible fluids. (English) Zbl 1208.37047 Physica D 240, No. 6, 443-458 (2011). MSC: 37N10 76F02 PDF BibTeX XML Cite \textit{D. Pavlov} et al., Physica D 240, No. 6, 443--458 (2011; Zbl 1208.37047) Full Text: DOI arXiv Link OpenURL
Castrillón López, Marco; Marsden, Jerrold E. Covariant and dynamical reduction for principal bundle field theories. (English) Zbl 1162.83347 Ann. Global Anal. Geom. 34, No. 3, 263-285 (2008). MSC: 83D05 49J40 PDF BibTeX XML Cite \textit{M. Castrillón López} and \textit{J. E. Marsden}, Ann. Global Anal. Geom. 34, No. 3, 263--285 (2008; Zbl 1162.83347) Full Text: DOI OpenURL
Vasylkevych, Sergiy; Marsden, Jerrold E. The Lie-Poisson structure of the Euler equations of an ideal fluid. (English) Zbl 1184.35257 Dyn. Partial Differ. Equ. 2, No. 4, 281-300 (2005). Reviewer: Oleg Titow (Berlin) MSC: 35Q31 76B03 PDF BibTeX XML Cite \textit{S. Vasylkevych} and \textit{J. E. Marsden}, Dyn. Partial Differ. Equ. 2, No. 4, 281--300 (2005; Zbl 1184.35257) Full Text: DOI arXiv OpenURL
Marsden, Jerrold E.; Shkoller, Steve The anisotropic Lagrangian averaged Euler and Navier-Stokes equations. (English) Zbl 1020.76014 Arch. Ration. Mech. Anal. 166, No. 1, 27-46 (2003). Reviewer: Isabell Gallagher (Palaiseau) MSC: 76D03 76B03 35Q30 35Q35 PDF BibTeX XML Cite \textit{J. E. Marsden} and \textit{S. Shkoller}, Arch. Ration. Mech. Anal. 166, No. 1, 27--46 (2003; Zbl 1020.76014) Full Text: DOI arXiv OpenURL
Pandolfi, A.; Kane, C.; Marsden, J. E.; Ortiz, M. Time-discretized variational formulation of non-smooth frictional contact. (English) Zbl 1035.74043 Int. J. Numer. Methods Eng. 53, No. 8, 1801-1829 (2002). MSC: 74M15 74M10 74S20 PDF BibTeX XML Cite \textit{A. Pandolfi} et al., Int. J. Numer. Methods Eng. 53, No. 8, 1801--1829 (2002; Zbl 1035.74043) Full Text: DOI OpenURL
Marsden, Jerrold E.; Shkoller, Steve Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-\(\alpha\)) equations on bounded domains. (English) Zbl 1006.35074 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 359, No. 1784, 1449-1468 (2001). Reviewer: Il’ya Sh.Mogilevskij (Tver) MSC: 35Q30 76D03 35Q05 PDF BibTeX XML Cite \textit{J. E. Marsden} and \textit{S. Shkoller}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 359, No. 1784, 1449--1468 (2001; Zbl 1006.35074) Full Text: DOI Link OpenURL
Bloch, Anthony M.; Leonard, Naomi Ehrich; Marsden, Jerrold E. Controlled Lagrangians and the stabilization of Euler-Poincaré mechanical systems. (English) Zbl 0980.93065 Int. J. Robust Nonlinear Control 11, No. 3, 191-214 (2001). Reviewer: Peter Kraut (Erlabrunn) MSC: 93D15 70Q05 70H03 93C10 70H33 PDF BibTeX XML Cite \textit{A. M. Bloch} et al., Int. J. Robust Nonlinear Control 11, No. 3, 191--214 (2001; Zbl 0980.93065) Full Text: DOI Link OpenURL
Jalnapurkar, Sameer M.; Marsden, Jerrold E. Reduction of Hamilton’s variational principle. (English) Zbl 1003.70013 Dyn. Stab. Syst. 15, No. 3, 287-318 (2000). MSC: 70H25 70H30 PDF BibTeX XML Cite \textit{S. M. Jalnapurkar} and \textit{J. E. Marsden}, Dyn. Stab. Syst. 15, No. 3, 287--318 (2000; Zbl 1003.70013) 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, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve Poisson structure and invariant manifolds on Lie groups. (English) Zbl 0963.65129 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. 1192-1197 (2000). MSC: 65P10 37M15 37J15 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. 1192--1197 (2000; Zbl 0963.65129) OpenURL
Marsden, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve Symmetry reduction of discrete Lagrangian mechanics on Lie groups. (English) Zbl 0976.70011 J. Geom. Phys. 36, No. 1-2, 140-151 (2000). MSC: 70G65 70G45 70H03 70H33 70E15 PDF BibTeX XML Cite \textit{J. E. Marsden} et al., J. Geom. Phys. 36, No. 1--2, 140--151 (2000; Zbl 0976.70011) Full Text: DOI arXiv 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
Alber, Mark S.; Luther, Gregory G.; Marsden, Jerrold E.; Robbins, Jonathan M. Geometry and control of three-wave interactions. (English) Zbl 0988.37079 Bierstone, Edward (ed.) et al., The Arnoldfest. Proceedings of a conference in honour of V. I. Arnold for his 60th birthday, Toronto, Canada, June 15-21, 1997. Providence, RI: American Mathematical Society. Fields Inst. Commun. 24, 55-80 (1999). MSC: 37K05 37K30 70Q05 70H33 PDF BibTeX XML Cite \textit{M. S. Alber} et al., Fields Inst. Commun. 24, 55--80 (1999; Zbl 0988.37079) OpenURL
Marsden, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve Discrete Euler-Poincaré and Lie-Poisson equations. (English) Zbl 0978.37045 Nonlinearity 12, No. 6, 1647-1662 (1999). Reviewer: Marco Modugno (Firenze) MSC: 37J15 53D20 70H33 70E15 PDF BibTeX XML Cite \textit{J. E. Marsden} et al., Nonlinearity 12, No. 6, 1647--1662 (1999; Zbl 0978.37045) Full Text: DOI arXiv 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
Holm, Darryl D.; Marsden, Jerrold E. The rotor and the pendulum. (English) Zbl 0744.70011 Symplectic geometry and mathematical physics, Proc. Colloq., Aix-en- Provence /Fr. 1990, Prog. Math. 99, 189-203 (1991). MSC: 70E15 70Q05 93B52 PDF BibTeX XML Cite \textit{D. D. Holm} and \textit{J. E. Marsden}, Prog. Math. 99, 189--203 (1991; Zbl 0744.70011) OpenURL
Chorin, A. J.; Marsden, J. E. A mathematical introduction to fluid mechanics. 2nd ed. (English) Zbl 0712.76008 Texts in Applied Mathematics, 4. New York etc.: Springer-Verlag. 168 p. DM 58.00 (1990). MSC: 76-01 76Bxx 76Dxx 76L05 70H05 35L65 22E70 PDF BibTeX XML Cite \textit{A. J. Chorin} and \textit{J. E. Marsden}, A mathematical introduction to fluid mechanics. 2nd ed. New York etc.: Springer-Verlag (1990; Zbl 0712.76008) OpenURL
Marsden, Jerrold E. Lectures on geometric methods in mathematical physics. (English) Zbl 0485.70001 CBMS-NSF Regional Conference Series in Applied Mathematics 37. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-170-3). v, 97 p. (1981). MSC: 70-02 70A05 58D30 37J35 37K10 35Q05 74Bxx 70E15 70H05 83C05 PDF BibTeX XML Cite \textit{J. E. Marsden}, Lectures on geometric methods in mathematical physics. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (1981; Zbl 0485.70001) OpenURL
Chorin, A. J.; Marsden, J. E. A mathematical introduction to fluid mechanics. (English) Zbl 0417.76002 Universitext. New York, Heidelberg, Berlin: Springer-Verlag. viii, 205 p. DM 29.00; $ 16.00 (1979). Reviewer: D. Krausser (Berlin) MSC: 76-01 76Bxx 76Dxx 35Q30 35Q31 76L05 35L65 PDF BibTeX XML Full Text: DOI OpenURL