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On Similarity Solutions to the Multidimensional Aggregation Equation

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Publication:3097514
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DOI10.1137/110820427zbMath1235.35064arXiv1102.0177OpenAlexW2953347399MaRDI QIDQ3097514

Hongjie Dong

Publication date: 10 November 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.2232


zbMATH Keywords

self-similar solutionaggregation equationmulti delta-ring solution


Mathematics Subject Classification ID

Initial value problems for nonlinear first-order PDEs (35F25) Self-similar solutions to PDEs (35C06) Integro-partial differential equations (35R09)


Related Items (6)

AGGREGATION AND SPREADING VIA THE NEWTONIAN POTENTIAL: THE DYNAMICS OF PATCH SOLUTIONS ⋮ Well-posedness theory for aggregation sheets ⋮ Aggregation Equation and Collapse to Singular Measure ⋮ Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions ⋮ Dynamics of one-fold symmetric patches for the aggregation equation and collapse to singular measure ⋮ The Regularity of the Boundary of a Multidimensional Aggregation Patch




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