Hyperbolic Conservation Laws and Related Analysis with Applications

by Helge Holden, Gui-Qiang G. Chen, Kenneth H. Karlsen

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About

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.

Discussion questions for Hyperbolic Conservation Laws and Related Analysis with Applications

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1
How do the complex, multidimensional systems of conservation laws explored in this volume mirror the invisible structural frameworks we rely on in our everyday lives?
2
Reflecting on the study of liquid crystals and discontinuous flux functions, how do you personally find stability and balance when faced with sudden, disruptive changes in your environment?
3
The book explores the application of mathematical models to real-world phenomena like sedimentation; in what ways do you see abstract concepts helping us make sense of messy, unpredictable natural processes?

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