NSF Org:	DMS Division Of Mathematical Sciences
Recipient:	UNIVERSITY OF CHICAGO
Initial Amendment Date:	July 17, 2003
Latest Amendment Date:	July 17, 2003
Award Number:	0306201
Award Instrument:	Standard Grant
Program Manager:	Henry Warchall DMS  Division Of Mathematical Sciences MPS  Directorate for Mathematical and Physical Sciences
Start Date:	July 15, 2003
End Date:	February 28, 2006 (Estimated)
Total Intended Award Amount:	$82,416.00
Total Awarded Amount to Date:	$82,416.00
Funds Obligated to Date:	FY 2003 = $63,336.00
History of Investigator:	Marta Lewicka (Principal Investigator) lewicka@pitt.edu
Recipient Sponsored Research Office:	University of Chicago 5801 S ELLIS AVE CHICAGO IL  US  60637-5418 (773)702-8669
Sponsor Congressional District:	01
Primary Place of Performance:	University of Chicago 5801 S ELLIS AVE CHICAGO IL  US  60637-5418
Primary Place of Performance Congressional District:	01
Unique Entity Identifier (UEI):	ZUE9HKT2CLC9
Parent UEI:	ZUE9HKT2CLC9
NSF Program(s):	APPLIED MATHEMATICS
Primary Program Source:	app-0103
Program Reference Code(s):	0000, OTHR
Program Element Code(s):	126600
Award Agency Code:	4900
Fund Agency Code:	4900
Assistance Listing Number(s):	47.049

ABSTRACT

The proposal will establish boundedness and integrability results for wave patterns arising from strictly hyperbolic systems of conservation laws. The methods apply to patterns of non-interacting shock and rarefaction waves generated as solutions of the one-dimensional Riemann and Cauchy problems without any restrictions on their amplitude.

As to the project's broader impacts, the PI is hoping to link the analytical results obtained to recent experimental data where the bounded variation instabilities of certain heavy gases have been discovered. These findings will have impact in the fields of astronomy and astrophysics.

Please report errors in award information by writing to: awardsearch@nsf.gov.