Asymptotics of blowup solutions for the aggregation equation (2011)

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by Yanghong Huang , Andrea L. Bertozzi
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L^p Theory for the . . . – Andrea L. Bertozzi, Thomas Laurent, Jesus Rosado - 2009
9 Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations – J. A. Carrillo, M. Difrancesco, A. Figalli, T. Laurent, D. Slep Čev
5 The behavior of solutions of multidimensional aggregation equations with mildly singular interaction kernels – Andrea L. Bertozzi, Thomas Laurent - 2009
2 Characterization of radially symmetric finite time blowup in multidimensional aggregation equations – Andrea L. Bertozzi, John B. Garnett, Thomas Laurent - 2011
16 Blowup in multidimensional aggregation equations with mildly singular interaction kernels – Andrea L. Bertozzi, José A. Carrillo, Thomas Laurent - 2009
8 SELF-SIMILAR BLOWUP SOLUTIONS TO AN AGGREGATION EQUATION – In R N, Yanghong Huang, Andrea, L. Bertozzi
5 EXISTENCE AND UNIQUENESS OF SOLUTIONS TO AN AGGREGATION EQUATION WITH DEGENERATE DIFFUSION – Andrea L. Bertozzi, Dejan, Slep Čev
A STRONGLY DEGENERATE PARABOLIC AGGREGATION EQUATION – F. Betancourt , R. Bürger, K. H. Karlsen - 2010
1 Stability and clustering of self-similar solutions of aggregation equations – Hui Sun, David Uminsky, Andrea Bertozzi - 2012
11 Finite-time blow-up of L ∞ -weak solutions of an aggregation equation – Andrea L. Bertozzi, Jeremy Brandman
14 Large time behavior of nonlocal aggregation models with nonlinear diffusion – Martin Burger, Marco Di Francesco - 2006
OPERATOR SPLITTING FOR WELL-POSED ACTIVE SCALAR EQUATIONS – Helge Holden, Kenneth H. Karlsen, Trygve, K. Karper
3 Particle, Kinetic, and Hydrodynamic Models of Swarming – J. A. Carrillo, M. Fornasier, G. Toscani, F. Vecil
4 Asymptotic dynamics of attractive-repulsive swarms, Submitted to – Andrew J. Leverentz, Chad M. Topaz, Andrew, J. Bernoff
8 The Keller-Segel model for chemotaxis with prevention of overcrowding: linear vs. nonlinear diffusion – Martin Burger, Marco Di Francesco, Yasmin Dolak-struss
5 Asymptotic Flocking Dynamics for the kinetic Cucker-Smale model – J. A. Carrillo, M. Fornasier, J. Rosado, G. Toscani - 2009
4 DOUBLE MILLING IN SELF-PROPELLED SWARMS FROM KINETIC THEORY – J. A. Carrillo, M. R. D’orsogna, V. Panferov
Preprint RING PATTERNS AND THEIR BIFURCATIONS IN A NONLOCAL MODEL OF BIOLOGICAL SWARMS – Andrea L. Bertozzi, James Von Brecht, Hui Sun, Theodore Kolokolnikov, David Uminsky
3 Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion – Jacob Bedrossian, Nancy Rodríguez, Andrea Bertozzi - 2010