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30 p, 311.3 KB Infinite time aggregation for the critical Patlak-Keller-Segel model in R2 / Blanchet, Adrien (Centre de Recerca Matemàtica) ; Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Masmoudi, Nader (New York University. Courant Institute of Mathematical Sciences) ; Centre de Recerca Matemàtica
We analyze the two-dimensional parabolic-elliptic Patlak-Keller-Segel model in the whole Euclidean space R2. Under the hypotheses of integrable initial data with finite second moment and entropy, we first show local in time existence for any mass of "free-energy solutions", namely weak solutions with some free energy estimates. [...]
Centre de Recerca Matemàtica 2007 (Prepublicacions del Centre de Recerca Matemàtica ; 734)  
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