Multi-shock solutions of random phase three-wave interactions

Allan Reiman; D. Kaup

doi:10.1063/1.863370

Multi-shock solutions of random phase three-wave interactions

Allan Reiman
, D. Kaup

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Explicit solutions of the equations describing the space-time interaction of three random phase wave packets are presented. The solutions describe the collision and decay of previously known shock-like solutions. Stability of the solutions to a perturbation in initial conditions is also analyzed. For those solutions which are unstable, a closed form solution of the nonlinear evolution of the interaction is given.

Original language	English (US)
Pages (from-to)	228-232
Number of pages	5
Journal	Physics of Fluids
Volume	24
Issue number	2
DOIs	https://doi.org/10.1063/1.863370
State	Published - 1981
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.863370

Cite this

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title = "Multi-shock solutions of random phase three-wave interactions",

abstract = "Explicit solutions of the equations describing the space-time interaction of three random phase wave packets are presented. The solutions describe the collision and decay of previously known shock-like solutions. Stability of the solutions to a perturbation in initial conditions is also analyzed. For those solutions which are unstable, a closed form solution of the nonlinear evolution of the interaction is given.",

author = "Allan Reiman and D. Kaup",

year = "1981",

doi = "10.1063/1.863370",

language = "English (US)",

volume = "24",

pages = "228--232",

journal = "Physics of Fluids",

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T1 - Multi-shock solutions of random phase three-wave interactions

AU - Reiman, Allan

AU - Kaup, D.

PY - 1981

Y1 - 1981

N2 - Explicit solutions of the equations describing the space-time interaction of three random phase wave packets are presented. The solutions describe the collision and decay of previously known shock-like solutions. Stability of the solutions to a perturbation in initial conditions is also analyzed. For those solutions which are unstable, a closed form solution of the nonlinear evolution of the interaction is given.

AB - Explicit solutions of the equations describing the space-time interaction of three random phase wave packets are presented. The solutions describe the collision and decay of previously known shock-like solutions. Stability of the solutions to a perturbation in initial conditions is also analyzed. For those solutions which are unstable, a closed form solution of the nonlinear evolution of the interaction is given.

UR - https://www.scopus.com/pages/publications/36749119108

UR - https://www.scopus.com/pages/publications/36749119108#tab=citedBy

U2 - 10.1063/1.863370

DO - 10.1063/1.863370

M3 - Article

AN - SCOPUS:36749119108

SN - 1070-6631

VL - 24

SP - 228

EP - 232

JO - Physics of Fluids

JF - Physics of Fluids

IS - 2

ER -

Multi-shock solutions of random phase three-wave interactions

Abstract

All Science Journal Classification (ASJC) codes

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