Asymptotics of blowup solutions for the aggregation equation

DOI10.3934/dcdsb.2012.17.1309zbMath1298.35110OpenAlexW2102228124MaRDI QIDQ423839

Yanghong Huang, Andrea L. Bertozzi

Publication date: 30 May 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.1309

zbMATH Keywords

asymptotic behaviorself-similar solutionsblow-upaggregation equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items (11)

Analysis and Simulation of Nonlinear and Nonlocal Transport Equations ⋮ Nonlocal Interaction Equations in Environments with Heterogeneities and Boundaries ⋮ Convergence analysis of upwind type schemes for the aggregation equation with pointy potential ⋮ Numerical simulation of nonlinear continuity equations by evolving diffeomorphisms ⋮ The Filippov characteristic flow for the aggregation equation with mildly singular potentials ⋮ Blow-up dynamics for the aggregation equation with degenerate diffusion ⋮ Performance bounds for the mean-field limit of constrained dynamics ⋮ Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions ⋮ A blob method for the aggregation equation ⋮ Biological Aggregation Driven by Social and Environmental Factors: A Nonlocal Model and Its Degenerate Cahn--Hilliard Approximation ⋮ Stability and clustering of self-similar solutions of aggregation equations

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