Solving a linear conservation law subject to initial and final conditions

An existence and uniqueness result for a linear conservation law subject to the initial and final conditions by using a spacetime least-squares formulation is proved. Some numerical simulations of a linear conservation law with a non-well-known velocity field are shown. An application to cardiac ima...

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Bibliographic Details
Published inInverse problems Vol. 27; no. 11; p. 115007
Main Authors Besson, Olivier, Pousin, Jérôme
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.11.2011
Institute of Physics
Subjects
Analysis of PDEs
Exact sciences and technology
Mathematics
Physics
Conservation laws
Space-time
Inverse problems
Initial conditions
Velocity fields
Digital simulation
quadratic optimization
yield interannual variability
land use
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Summary:An existence and uniqueness result for a linear conservation law subject to the initial and final conditions by using a spacetime least-squares formulation is proved. Some numerical simulations of a linear conservation law with a non-well-known velocity field are shown. An application to cardiac image reconstruction is presented.
ISSN:0266-5611
1361-6420
DOI:10.1088/0266-5611/27/11/115007