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University of Illinois at Urbana-Champaign
The interaction of shock waves and dispersive waves
Abstract
dc:descriptionWe 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.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2011
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Axel, Ralph Martin
- Contributors dc:contributor
-
- Newton, Paul
Subjects
dc:subject × 2Rights
dc:rights- Statement dc:rights
-
- Copyright 1996 Axel, Ralph Martin
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
-
9780591087789
AAI9702452
(UMI)AAI9702452 - OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/19806