Academic Journal
Vortex Solutions to Mass‐Supercritical Gross–Pitaevskii Equations.
| Τίτλος: | Vortex Solutions to Mass‐Supercritical Gross–Pitaevskii Equations. |
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| Συγγραφείς: | Long, Wei1 (AUTHOR), Lu, Shuyao1 (AUTHOR), Yang, Jinge2 (AUTHOR) jgyang2007@yeah.net |
| Πηγή: | Studies in Applied Mathematics. Sep2026, Vol. 157 Issue 3, p1-38. 38p. |
| Θεματικοί όροι: | Gross-Pitaevskii equations, Mathematical singularities, Vortex motion, Uniqueness (Mathematics) |
| Περίληψη: | This paper focuses on normalized vortex solutions of mass‐supercritical Gross–Pitaevskii equations with a harmonic potential. We prove regularity, mass concentration, and uniqueness of vortex solutions. The primary challenge lies in addressing the singularities at the origin and infinity, which arise from the combined effects of the vortex and the harmonic potential. [ABSTRACT FROM AUTHOR] |
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