Constructs a parametrized family of smooth finite-time blow-up solutions for the focusing Calogero-Sutherland derivative NLS on the circle with L2-mass in (1,2), explicit blow-up rate 1/(T-t)^{2s}, and describes the dynamics and instability.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Continuum Calogero-Moser models are realized as Hamiltonian systems on L²₊ with mutually commuting conserved quantities, giving a new global well-posedness proof linked to symplectic nondegeneracy and the isoperimetric problem.
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Finite-time blow-up solutions for the Calogero--Sutherland derivative NLS
Constructs a parametrized family of smooth finite-time blow-up solutions for the focusing Calogero-Sutherland derivative NLS on the circle with L2-mass in (1,2), explicit blow-up rate 1/(T-t)^{2s}, and describes the dynamics and instability.
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The Hamiltonian formulation of continuum Calogero-Moser models
Continuum Calogero-Moser models are realized as Hamiltonian systems on L²₊ with mutually commuting conserved quantities, giving a new global well-posedness proof linked to symplectic nondegeneracy and the isoperimetric problem.