Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions

DOI10.1016/j.aml.2012.06.023zbMath1252.65210OpenAlexW2110208320MaRDI QIDQ714587

Yanghong Huang, Andrea L. Bertozzi, Thomas P. Witelski

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.06.023

zbMATH Keywords

numerical examplesshooting methodsfinite-time blow-upaggregation equationnonlinear integro-partial differential equationself-similarity solution of the second kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10)

Related Items (4)

Nonlocal Interaction Equations in Environments with Heterogeneities and Boundaries ⋮ Unnamed Item ⋮ A blob method for the aggregation equation ⋮ Biological Aggregation Driven by Social and Environmental Factors: A Nonlocal Model and Its Degenerate Cahn--Hilliard Approximation

Cites Work

• Unnamed Item
• A nonlocal continuum model for biological aggregation
• Asymptotics of blowup solutions for the aggregation equation
• The aggregation equation with power-law kernels: ill-posedness, mass concentration and similarity solutions
• An integro-differential equation arising as a limit of individual cell-based models
• On an aggregation model with long and short range interactions
• On Similarity Solutions to the Multidimensional Aggregation Equation
• Blow-up in multidimensional aggregation equations with mildly singular interaction kernels
• Self-Similar Blowup Solutions to an Aggregation Equation in $R^n$

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