Steady solutions for the Schrödinger map equation
DOI10.1080/03605302.2024.2358500zbMATH Open1546.3515MaRDI QIDQ6595127
Publication date: 29 August 2024
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) General theory of rotating fluids (76U05) Partial functional-differential equations (35R10) NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32) Singularity in context of PDEs (35A21) Traveling wave solutions (35C07)
Cites Work
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- A Numerical Study of the Self-Similar Solutions of the Schrödinger Map
- A vortex filament moving without change of form
- Existence of small loops in a bifurcation diagram near degenerate eigenvalues
- On Schr\"odinger maps from $T^1$ to $S^2$
- On the curvature and torsion of an isolated vortex filament
- A soliton on a vortex filament
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