Homepage of Joris Vankerschaver

I am a JSPS research fellow working with Hiroaki Yoshimura at Waseda University (Japan) as well as a research assistant from the Research Foundation -- Flanders (FWO-Vlaanderen). In 2007-2009, I was a Fulbright postdoc with Jerrold Marsden at CDS in Caltech. I completed my Ph.D. thesis at Ghent University (Belgium) at the Department of Mathematical Physics and Astronomy.

My current research interests include the following (in order of definiteness):

  • Geometric reduction for solid bodies in vortical flow;
  • Variational principles in field theory and Dirac structures;
  • Space/time adapting discretizations of field theories;
  • Everything else :-)

What's new:

  • My paper "Geometric Control of Particle Manipulation in a Two-Dimensional Fluid" with Yizhar Or, S. D. Kelly, J. E. Marsden and R. M. Murray was awarded the Guan Zhao-Zhi award at the 2009 CDC-CCC.
  • Caltech undergrad Raymond Jimenez just finished his FSRI project on numerical optimizations of Lagrangian Coherent Structures using nVidia's CUDA api for GPU programming. See the results here. Update: Raymond's results can also be found on the nVidia CUDA page.

Publications

Preprints:

  • J. Vankerschaver, E. Kanso, J. E. Marsden. The Dynamics of a Rigid Body in Potential Flow with Circulation.

Published:

  • B. Langerock, F. Cantrijn, J. Vankerschaver. Routhian reduction for quasi-invariant Lagrangians. J. Math. Phys. 51 (2010) 022902. [abs] [pdf] [doi]
  • Cedric M. Campos, Manuel de Leon, David Martin de Diego, Joris Vankerschaver. Unambiguous Formalism for Higher-Order Lagrangian Field Theories. J. Phys. A: Math. Theor. 42 (2009) 475207. [abs] [pdf] [doi]
  • J. Vankerschaver, E. Kanso, J. E. Marsden. The Geometry and Dynamics of Interacting Rigid Bodies and Point Vortices. J. Geom. Mech. 1 (2009), no. 2, 223--266. [abs] [pdf] [doi]
  • Symmetry aspects for nonholonomic field theories. J. Phys. A: Math. Theor. 41 (2008), 035401. (with D. Martin de Diego). [abs] [pdf] [doi]
  • Euler-Poincaré reduction for discrete field theories. J. Math. Phys. 48 (2007), 032902. [abs] [pdf] [doi]
  • Nonholonomic kinematic constraints in elasticity. J. Phys. A: Math. Theor. 40 (2007), no. 14, 3389--3913. [abs] [pdf] [doi]
  • Discrete Lagrangian field theories on Lie groupoids. J. Geom. Phys. 57 (2007), no. 2, pp. 665--689. (with F. Cantrijn). [abs] [pdf] [doi]
  • The Momentum Map for Nonholonomic Field Theories with Symmetry. Int. J. Geom. Meth. Mod. Phys. 2 (2005), no. 6, pp. 1029--1041. [abs] [pdf] [doi]
  • Geometric aspects of nonholonomic field theories. Rep. Math. Phys. 56 (2005), no. 3, pp. 387--411 (with F.Cantrijn, M. de Leon, and D. Martin de Diego). [abs] [pdf] [doi]

Conference Proceedings:

  • Yizhar Or, Joris Vankerschaver, Scott D. Kelly, Richard M. Murray and Jerrold E. Marsden. Geometric Control of Particle Manipulation in a Two-Dimensional Fluid. Proc. 48th Control and Decision Conf, Shanghai. Preprint. This paper was awarded the Guan Zhao-Zhi Award at the 2009 CDC-CCC.
  • J. Vankerschaver, E. Kanso, J.E. Marsden. The motion of solid bodies in potential flow with circulation: a geometric outlook. Proceedings of DSCC ASME 2008 Dynamic Systems and Control Conference. [pdf]
  • J. Vankerschaver. A connection-theoretic approach to the analysis of symmetries of nonholonomic field theories. Proc. 10th Conf. on Differential Geometry and its Applications, World Sci. Publ., River Edge, NJ, 2008, 703-711. [pdf]
  • F. Cantrijn, J. Vankerschaver. The Skinner-Rusk approach for vakonomic and nonholonomic field theories. In: F. Cantrijn et al (eds.), Differential geometric methods in mechanics and field theory, Volume in honour of Willy Sarlet (2007), 1-14. [pdf]
  • J. Vankerschaver. Classical field theories with external constraints. Proc. XIV Fall Workshop on Geometry and Physics. Publicaciones de la RSME, vol. 10 (2006), 285-291. [pdf]

PhD Thesis:

  • Continuous and discrete aspects of classical field theories with nonholonomic constraints. PhD diss., Ghent University, 2007. PDF

Teaching


Conferences and Talks

Upcoming

Previous (2009)

2008


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