Multidimensional Conservation Laws and Low Regularity Solutions

Keyfitz, Barbara Lee

University of Houston

关键词: Multiphase Flow;    97 Mathematics And Computing;    Conservation Laws;    Two-Phase Flow Hyperbolic Conservation Laws, Analysis Of Partial Differential Equations, Change Of Type In Conservation Laws, Self-Similar Solutions, Mach Reflection;    Hyperbolic Conservation Laws, Analysis Of Partial Differential Equations, Change Of Type In Conservation Laws, Self-Similar Solutions, Mach Reflection;   

DOI  :  10.2172/928353
RP-ID  :  Final
RP-ID  :  FG02-03ER25575
RP-ID  :  928353

美国|英语

来源: UNT Digital Library

【 摘 要 】

This is the concluding report for the project, a continuation of research by Keyfitz and co-workers on multidimensional conservation laws, and applications of nonhyperbolic conservation laws in the two-fluid model for multiphase flow. The multidimensional research project was started with Suncica Canic, at the University of Houston and with Eun Heui Kim, now at California State University Long Beach. Two postdoctoral researchers, Katarina Jegdic and Allen Tesdall, also worked on this research. Jegdic's research was supported (for a total of one year) by this grant. Work on nonhyperbolic models for two-phase flows is being pursued jointly with Michael Sever, Hebrew University. Background for the project is contained in earlier reports. Note that in 2006, the project received a one-year no-cost extension that will end in September, 2007. A new proposal, for continuation of the research and for new projects, will be submitted in the Fall of 2007, with funding requested to begin in the summer of 2008. The reason for the 'funding gap' is Keyfitz's four-year stint as Director of the Fields Institute in Toronto, Canada. The research has continued, but has been supported by Canadian grant funds, as seems appropriate during this period.