scientific article; zbMATH DE number 1500704

zbMath0997.37055MaRDI QIDQ4501731

Annalisa M. Calini

Publication date: 19 November 2002

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

solitonsEulerian fluidHamilton formulationclosed line vortexevolution equations of polygonal curvesintegrable curve dynamicsintegrable hierarchies of curve dynamicsself-induced dynamicsvortex filament dynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Curves in Euclidean and related spaces (53A04)

Related Items (7)

On the bicycle transformation and the filament equation: results and conjectures ⋮ Complex coupled dispersionless equations in Minkowski 3-space ⋮ Stability of closed solutions to the vortex filament equation hierarchy with application to the Hirota equation ⋮ Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds ⋮ Finite-gap solutions of the vortex filament equation: isoperiodic deformations ⋮ The Group and Hamiltonian Descriptions of Hydrodynamical Systems ⋮ Boundary Tracking and Obstacle Avoidance Using Gyroscopic Control

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