4 papers · 1 filter
Blow up and Concentration without Quantization: sharp Harnack type inequalities
Daniele Bartolucci, Paolo Cosentino, Lina Wu
Motivated by the Onsager statistical mechanics description of turbulent Euler flows with point singularities, we refine the blow up analysis for sequences of solutions of a class o…
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…
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…
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…