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Mathematics - Dynamical Systems & Differential Equations | Hyperbolic Conservation Laws and Related Analysis with Applications - Edinburgh, September 2011

Hyperbolic Conservation Laws and Related Analysis with Applications

Edinburgh, September 2011

Chen, Gui-Qiang G., Holden, Helge, Karlsen, Kenneth H. (Eds.)

2014, X, 384 p. 32 illus.

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  • Offers a cross-section of the most significant recent advances and current directions in the field of nonlinear hyperbolic conservation laws and related analysis with applications
  • Features articles seeking synergetic links between theory, analysis, and applications
  • Survey of phenomena and theories likely to be important for future developments in the field ​

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.


Content Level » Research

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

Related subjects » Analysis - Dynamical Systems & Differential Equations

Table of contents 

Preface by G.-Q. Chen, H. Holden, K. H. Karlsen.- B. Andreianov: Semigroup Approach for Conservation Laws with Discontinuous Flux.- F. Betancourt, R. Bürger, R. Ruiz-Baier, H.Torres, C. A. Vega: On Numerical Methods for Hyperbolic Conservation Laws and Related Equations Modeling Sedimentation of Solid-liquid suspensions.- L. Caravenna: SBV Regularity Results for Solutions to 1D Conservation Laws.- N. Chemetov, W. Neves: Generalized Buckley-Leverett System.​- G.-Q. Chen, M. Slemrod, D. Wang: Entropy, Elasticity, and the Isometric Embedding Problem: M^3\to\R^6.- G.-Q. Chen, W. Xiang: Existence and Stability of Global Solutions of Shock Diffraction Wedges for Potential Flow.- G. M. Coclite, L. di Ruvo, K. H. Karlsen: Some Wellposedness results for the Ostrovsky-Hunter Equation.- M. Ding, Ya. Li: An Overview for Piston Problems in Fluid Dynamics.- D. Donatelli, P. Marcati: Quasineutral Limit for the Navier-Stokes-Fourier-Poisson System.- H. Frid: Divergence-Measure Fields on Domains with Lipschitz Boundary.- T. Karper, A. Mellet, K. Trivisa: On Strong Local Alignment in the Kinetic Cucker-Smale Model.- D. Serre: Multi-Dimensional Systems of Conservation Laws. An Introductory Lecture.- B. Stevens: The Nash-Moser Iteration Technique with Application to Characteristic Free-Boundary Problems.

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