Sylvain Arguillère, Emmanuel Trélat, Alain Trouvé, Laurent Younes, “Shape deformation analysis from the optimal control viewpoint”, Journal de Mathématiques Pures et Appliquées, 104, № 1, 2015, 139
Balasubramanya T. Nadiga, Steve Shkoller, “Enhancement of the inverse-cascade of energy in the two-dimensional Lagrangian-averaged Navier–Stokes equations”, Physics of Fluids, 13, № 5, 2001, 1528
J Moser, “Three integrable Hamiltonian systems connected with isospectral deformations”, Advances in Mathematics, 16, № 2, 1975, 197
Peter Constantin, Gautam Iyer, “A stochastic-Lagrangian approach to the Navier–Stokes equations in domains with boundary”, Ann. Appl. Probab., 21, № 4, 2011
David P. Ruelle, “Hydrodynamic turbulence as a problem in nonequilibrium statistical mechanics”, Proc. Natl. Acad. Sci. U.S.A., 109, № 50, 2012, 20344
P. Cifani, M. Viviani, K. Modin, “An efficient geometric method for incompressible hydrodynamics on the sphere”, Journal of Computational Physics, 473, 2023, 111772
Victor Guillemin, Shlomo Sternberg, “The moment map and collective motion”, Annals of Physics, 127, № 1, 1980, 220
Joachim Escher, Boris Kolev, “Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle”, Journal of Geometric Mechanics, 6, № 3, 2014, 335
Casey L. Richardson, Laurent Younes, “Metamorphosis of images in reproducing kernel Hilbert spaces”, Adv Comput Math, 42, № 3, 2016, 573
Michael I. Miller, Alain Trouvé, Laurent Younes, “Geodesic Shooting for Computational Anatomy”, J Math Imaging Vis, 24, № 2, 2006, 209