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

Vladimir Georgiev; Yuan Li

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

Graduate School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-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 language	English
Journal	Unknown Journal
Publication status	Published - 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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title = "Nondispersive solutions to the mass critical half-wave equation in two dimensions",

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.",

keywords = "Finite-time blowup solution, Half-wave equation, Minimal mass, Traveling waves solution",

author = "Vladimir Georgiev and Yuan Li",

year = "2020",

month = jul,

day = "30",

language = "English",

journal = "Nuclear Physics A",

issn = "0375-9474",

publisher = "Elsevier",

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T1 - Nondispersive solutions to the mass critical half-wave equation in two dimensions

AU - Georgiev, Vladimir

AU - Li, Yuan

PY - 2020/7/30

Y1 - 2020/7/30

N2 - 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.

AB - 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.

KW - Finite-time blowup solution

KW - Half-wave equation

KW - Minimal mass

KW - Traveling waves solution

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M3 - Article

AN - SCOPUS:85095513944

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

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