The interaction of shock waves and dispersive waves
type: CreativeWork
description: We introduce and analyze a coupled system of partial differential equations which model the interaction of shocks with a dispersive wave envelope. The system mimics the Zakharov equations from weak plasma turbulence theory but replaces the linear wave equation in that system by a nonlinear equation allowing shock formation. This nonlinear equation is a hyperbolic conservation law forced by the dispersive wave.
abstract: We introduce and analyze a coupled system of partial differential equations which model the interaction of shocks with a dispersive wave envelope. The system mimics the Zakharov equations from weak plasma turbulence theory but replaces the linear wave equation in that system by a nonlinear equation allowing shock formation. This nonlinear equation is a hyperbolic conservation law forced by the dispersive wave.
author: Axel, Ralph Martin
language: eng
keywords: Mathematics, Engineering, Mechanical
date published: 2011-05-07T12:19:10Z
date modified: 2026-07-22T22:25:14Z
provider: University of Illinois - Urbana-Champaign
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: University of Illinois at Urbana-Champaign

PropertyValue
property ID: Handle
value: http://hdl.handle.net/2142/19806