- Title Information
- Title
- Closure and complete integrability in Burgers turbulence
- Name:
Personal
- Name Part
- Srinivasan, Ravi
- Role
- Role Term:
Text
- creator
- Origin Information
- Copyright Date
(keyDate="yes", encoding="w3cdtf")
- 2009
- Physical Description
- Extent
- viii, 77 p.
- digitalOrigin
- born digital
- Note
- Thesis (Ph.D.) -- Brown University (2009)
- Name:
Personal
- Name Part
- Menon, Govind
- Role
- Role Term:
Text
- director
- Name:
Personal
- Name Part
- Menon, Govind
- Role
- Role Term:
Text
- reader
- Name:
Personal
- Name Part
- Dafermos, Constantine
- Role
- Role Term:
Text
- reader
- Name:
Personal
- Name Part
- Rozovsky, Boris
- Role
- Role Term:
Text
- reader
- Name:
Corporate
- Name Part
- Brown University. Applied Mathematics
- Role
- Role Term:
Text
- sponsor
- Genre (aat)
- theses
- Abstract
- Burgers turbulence (1-D inviscid Burgers equation with random initial data) is a fundamental non-equilibrium model of stochastic coalescence. In this work we demonstrate that at
the level of the 2-point correlation function, the entropy solution to Burgers equation yields a closed, completely integrable system. We show that the statistical evolution is given by a Lax
pair. Finally, we demonstrate that this equation has an equivalent kinetic description with a rich family of self-similar solutions, and in particular admits an explicit solution derived by
Groeneboom in nonparametric statistics. Finally, the closure property and complete integrability are shown to hold in the general case of 1-D scalar conservation laws with strictly convex
flux.
- Subject (Local)
- Topic
- Burgers turbulence
- Subject (Local)
- Topic
- statistical closures
- Subject (Local)
- Topic
- complete integrability
- Subject (Local)
- Topic
- stochastic coalescence
- Subject (Local)
- Topic
- kinetic theory
- Subject (Local)
- Topic
- coagulation equations
- Record Information
- Record Content Source (marcorg)
- RPB
- Record Creation Date
(encoding="iso8601")
- 20091218
- Language
- Language Term:
Code (ISO639-2B)
- eng
- Language Term:
Text
- English
- Identifier:
DOI
- 10.7301/Z05B00RX
- Access Condition:
rights statement
(href="http://rightsstatements.org/vocab/InC/1.0/")
- In Copyright
- Access Condition:
restriction on access
- Collection is open for research.
- Type of Resource (primo)
- dissertations