This interdisciplinary work on condensed matter physics, the continuum
mechanics of novel materials, and partial differential equations,
discusses the mathematical theory of elasticity and hydrodynamics of
quasicrystals, as well as its applications. By establishing new partial
differential equations of higher order and their solutions under
complicated boundary value and initial value conditions, the theories
developed here dramatically simplify the solution of complex elasticity
problems. Comprehensive and detailed mathematical derivations guide
readers through the work. By combining theoretical analysis and
experimental data, mathematical studies and practical applications,
readers will gain a systematic, comprehensive and in-depth understanding
of condensed matter physics, new continuum mechanics and applied
mathematics.
This new edition covers the latest developments in quasicrystal studies.
In particular, it pays special attention to the hydrodynamics,
soft-matter quasicrystals, and the Poisson bracket method and its
application in deriving hydrodynamic equations. These new sections make
the book an even more useful and comprehensive reference guide for
researchers working in Condensed Matter Physics, Chemistry and Materials
Science.