Non-existence and non-uniqueness for multidimensional sticky particle systems

Alberto Bressan, Truyen Nguyen

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The paper is concerned with sticky weak solutions to the equations of pressureless gases in two or more space dimensions. Various initial data are constructed, showing that the Cauchy problem can have (i) two distinct sticky solutions, or (ii) no sticky solution, not even locally in time. In both cases the initial density is smooth with compact support, while the initial velocity field is continuous.

Original languageEnglish (US)
Pages (from-to)205-218
Number of pages14
JournalKinetic and Related Models
Volume7
Issue number2
DOIs
StatePublished - Jun 2014

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation

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