Multidimensional Scalar Conservation Laws

  • Helge Holden
  • Nils Henrik Risebro
Part of the Applied Mathematical Sciences book series (AMS, volume 152)


Our analysis has so far been confined to scalar conservation laws in one dimension. Clearly, the multidimensional case is considerably more important. Luckily enough, the analysis in one dimension can be carried over to higher dimensions by essentially treating each dimension separately. This technique is called dimensional splitting. The final results are very much the natural generalizations one would expect.


Weak Solution Conservation Laws Entropy Solution Entropy Condition Operator Splitting 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of MathematicsNorwegian University of Science and TechnologyTrondheimNorway
  2. 2.Department of MathematicsUniversity of OsloOsloNorway

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