Symmetric equilibria for the \(N\)-vortex problem
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Publication:889916
DOI10.1007/s11784-015-0242-3zbMath1360.37179OpenAlexW808167000MaRDI QIDQ889916
Publication date: 9 November 2015
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-015-0242-3
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)
Related Items (7)
Periodic solutions of singular first-order Hamiltonian systems of \(N\)-vortex type ⋮ Global continua of periodic solutions of singular first-order Hamiltonian systems of \(N\)-vortex type ⋮ Equilibria of vortex type Hamiltonians on closed surfaces ⋮ Periodic Solutions of N-Vortex Type Hamiltonian Systems near the Domain Boundary ⋮ Equilibria for the \(N\)-vortex-problem in a general bounded domain ⋮ Periodic solutions for the N-vortex problem via a superposition principle ⋮ Critical Points of the $N$-vortex Hamiltonian in Bounded Planar Domains and Steady State Solutions of the Incompressible Euler Equations
Cites Work
- \(N\)-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations
- Mathematical theory of incompressible nonviscous fluids
- On the existence of blowing-up solutions for a mean field equation
- Singular limits in Liouville-type equations
- Critical Points of the $N$-vortex Hamiltonian in Bounded Planar Domains and Steady State Solutions of the Incompressible Euler Equations
- Vortex Dynamics
- Existence and qualitative properties of concentrating solutions for the sinh-Poisson equation
- The \(N\)-vortex problem. Analytical techniques
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