Rotationally invariant hyperbolic waves

Moysey Brio, J. K. Hunter

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We use weakly nonlinear asymptotics to derive a canonical asymptotic equation for rotationally invariant hyperbolic waves. The equation can include weak dissipative, dispersive, or diffractive effects. We give applications to equations from magnetohydrodynamics, elasticity, and viscoelasticity.

Original languageEnglish (US)
Pages (from-to)1037-1053
Number of pages17
JournalCommunications on Pure and Applied Mathematics
Volume43
Issue number8
DOIs
StatePublished - 1990

Fingerprint

Viscoelasticity
Magnetohydrodynamics
Elasticity
Invariant

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Rotationally invariant hyperbolic waves. / Brio, Moysey; Hunter, J. K.

In: Communications on Pure and Applied Mathematics, Vol. 43, No. 8, 1990, p. 1037-1053.

Research output: Contribution to journalArticle

@article{dc990379f7f14838ab52835b0b03b2f3,
title = "Rotationally invariant hyperbolic waves",
abstract = "We use weakly nonlinear asymptotics to derive a canonical asymptotic equation for rotationally invariant hyperbolic waves. The equation can include weak dissipative, dispersive, or diffractive effects. We give applications to equations from magnetohydrodynamics, elasticity, and viscoelasticity.",
author = "Moysey Brio and Hunter, {J. K.}",
year = "1990",
doi = "10.1002/cpa.3160430806",
language = "English (US)",
volume = "43",
pages = "1037--1053",
journal = "Communications on Pure and Applied Mathematics",
issn = "0010-3640",
publisher = "Wiley-Liss Inc.",
number = "8",

}

TY - JOUR

T1 - Rotationally invariant hyperbolic waves

AU - Brio, Moysey

AU - Hunter, J. K.

PY - 1990

Y1 - 1990

N2 - We use weakly nonlinear asymptotics to derive a canonical asymptotic equation for rotationally invariant hyperbolic waves. The equation can include weak dissipative, dispersive, or diffractive effects. We give applications to equations from magnetohydrodynamics, elasticity, and viscoelasticity.

AB - We use weakly nonlinear asymptotics to derive a canonical asymptotic equation for rotationally invariant hyperbolic waves. The equation can include weak dissipative, dispersive, or diffractive effects. We give applications to equations from magnetohydrodynamics, elasticity, and viscoelasticity.

UR - http://www.scopus.com/inward/record.url?scp=84990619658&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84990619658&partnerID=8YFLogxK

U2 - 10.1002/cpa.3160430806

DO - 10.1002/cpa.3160430806

M3 - Article

AN - SCOPUS:84990619658

VL - 43

SP - 1037

EP - 1053

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

IS - 8

ER -