Nondispersive solutions to the mass critical half-wave equation in two dimensions

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the half-wave equation with mass critical in two dimension (formula presented), First, we prove the existence of a family of traveling solitary waves. We then show the existence of finite-time blowup solutions with minimal mass ku0k2 = kQk2, where Q is the ground state solution of equation DQ + Q = Q2.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2020 Jul 30

Keywords

  • Finite-time blowup solution
  • Half-wave equation
  • Minimal mass
  • Traveling waves solution

ASJC Scopus subject areas

  • General

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