zbMath0611.70015MaRDI QIDQ3751065
Jerrold E. Marsden, Darryl D. Holm, Tudor S. Ratiu
Publication date: 1986
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
An unconstrained Hamiltonian formulation for incompressible fluid flow,
The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates,
The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems,
General relativistic Lagrangian continuum theories. I: Reduced variational principles and junction conditions for hydrodynamics and elasticity,
The geometry of the two-component Camassa-Holm and Degasperis-Procesi equations,
Tulczyjew’s triplet for lie groups III: Higher order dynamics and reductions for iterated bundles,
Hamiltonian formulation of adiabatic free boundary Euler flows,
A Dirichlet criterion for the stability of periodic and relative periodic orbits in Hamiltonian systems,
Nonlinear stability of singular relative periodic orbits in Hamiltonian systems with symmetry,
Motion of three point vortices on a sphere,
Reduction of Dirac structures and the Hamilton-Pontryagin principle,
Reduction in optimal control theory,
Asymptotic invariant tori of perturbed two-body problems,
Variational nonlinear WKB in the Eulerian frame,
Preserving Poisson structure and orthogonality in numerical integration of differential equations,
On Euler-Arnold equations and totally geodesic subgroups,
Singular reduction of implicit Hamiltonian systems,
Reduced variational formulations in free boundary continuum mechanics,
Multisymplectic formulation of fluid dynamics using the inverse map,
Lin constraints, Clebsch potentials and variational principles,
Poisson structure of the reversible \(1:1\) resonance,
The Euler-Poincaré equations and semidirect products with applications to continuum theories,
Implicit Hamiltonian systems with symmetry,
Hamiltonian dynamics and stability analysis of neutral electromagnetic fluids with induction,
Numerical evidence of nonintegrability of certain Lie-Poisson system,
Poisson reduction for nonholonomic mechanical systems with symmetry,
Invariants of homogeneous ordinary differential equations,
Symplectic reduction for semidirect products and central extensions,
Helicity invariants in 3D: Kinematical aspects
