Hyperbolic Conservation Laws and Related Analysis with Applications

Edinburgh, September 2011

  • Gui-Qiang G. Chen
  • Helge Holden
  • Kenneth H. Karlsen
Conference proceedings

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 49)

Table of contents

  1. Front Matter
    Pages i-x
  2. Nikolai Chemetov, Wladimir Neves
    Pages 87-94
  3. G. M. Coclite, L. di Ruvo, K. H. Karlsen
    Pages 143-159
  4. Min Ding, Yachun Li
    Pages 161-191
  5. Donatella Donatelli, Pierangelo Marcati
    Pages 193-206
  6. Trygve K. Karper, Antoine Mellet, Konstantina Trivisa
    Pages 227-242

About these proceedings


This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications. Topics covered include a survey on multidimensional systems of conservation laws as well as novel results  on liquid crystals, conservation laws with discontinuous flux functions, and applications to sedimentation.  Also included are articles on recent advances in the Euler equations and the Navier-Stokes-Fourier-Poisson system, in addition to new results on collective phenomena described by the Cucker-Smale model.   

The Workshop on Hyperbolic Conservation Laws and Related Analysis with Applications at the International Centre for Mathematical Sciences (Edinburgh, UK) held in Edinburgh, September 2011, produced this fine collection of original research and survey articles. Many leading mathematicians attended the event and submitted their contributions for this volume. It is addressed to researchers and graduate students interested in partial differential equations and related analysis with applications.



35-06, 35L65, 35L40, 35Q35, 76J20, 35L67, 35R35, 76N10 hyperbolic conservation laws mechanics nonlinear analysis nonlinear waves partial differential equations

Editors and affiliations

  • Gui-Qiang G. Chen
    • 1
  • Helge Holden
    • 2
  • Kenneth H. Karlsen
    • 3
  1. 1.University of Oxford Mathematical InstituteOxfordUnited Kingdom
  2. 2.Department of Mathematical SciencesNorwegian University of Science and TechnologyTrondheimNorway
  3. 3.University of Oslo Centre of Mathematics for ApplicationsOsloNorway

Bibliographic information

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