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math.AP2026
Onsager's Mean Field Theory of Vortex Flows with Singular Sources: Blow-Up and Concentration without Quantization
Daniele Bartolucci, Paolo Cosentino, Lina Wu
Motivated by the Onsager statistical mechanics description of turbulent Euler flows with point singularities, we make a first step in the generalization of the mean field theory in…
math.AP2026
A Harnack-type inequality for a perturbed singular Liouville Equation
Daniele Bartolucci, Paolo Cosentino, Lina Wu
Motivated by the Onsager statistical mechanics description of turbulent Euler flows with point singularities, we obtain a Harnack-type inequality for sequences of solutions of the…
math.AP2026
A simple proof of the Uniqueness of blow-up solutions of mean field equations
Lina Wu, Wenming Zou
For a regular mean field equation defined on a compact Riemann surface, an important work of Bartolucci-Jevnikar-Lee-Yang \cite{bart-4} proved a uniqueness theorem for blow-up solu…