Piecewise smooth solutions to the burgers-hilbert equation

Alberto Bressan, Tianyou Zhang

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The paper is concerned with the Burgers-Hilbert equation ut + (u2/2)x = H[u], where the right-hand side is a Hilbert transform. Unique entropy admissible solutions are constructed locally in time, having a single shock. In a neighborhood of the shock curve, a detailed description of the solution is provided.

Original languageEnglish (US)
Pages (from-to)165-184
Number of pages20
JournalCommunications in Mathematical Sciences
Volume15
Issue number1
DOIs
StatePublished - Jan 1 2017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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