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The contributions to the book concern various aspects of extension of classical continuum models. These extensions are related to the appearance of microstructures both natural as well as these created by processes. To the first class belong various thermodynamic models of multicomponent systems such as porous materials, composites, materials with microscopic heterogeneities. To the second class belong primarily microstructures created by phase transformations. Invited authors cover both fields of thermodynamic modeling and mathematical analysis of such continua with microstructure. In particular the following subjects are covered: thermodynamic modeling of saturated and unsaturated porous and granular media, linear and nonlinear waves in such materials, extensions of constitutive laws by internal variables, higher gradients and nonequilibrium fields, stochastic processes in porous and fractal materials, thermodynamic modeling of composite materials, mathematical analysis of multicomponent systems, phase transformations in solids.

Microstructure -- Mathematical models. --- Microstructure. --- Microstructure --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Materials Science --- Applied Mathematics --- Mathematical models --- Mathematical models. --- Engineering. --- Amorphous substances. --- Complex fluids. --- Thermodynamics. --- Heat engineering. --- Heat transfer. --- Mass transfer. --- Continuum mechanics. --- Engineering Thermodynamics, Heat and Mass Transfer. --- Continuum Mechanics and Mechanics of Materials. --- Soft and Granular Matter, Complex Fluids and Microfluidics. --- Ceramics, Glass, Composites, Natural Methods. --- Materials --- Matter --- Morphology --- Micromechanics --- Stereology --- Constitution --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Ceramics, Glass, Composites, Natural Materials. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Construction --- Industrial arts --- Technology --- Ceramics. --- Glass. --- Composites (Materials). --- Composite materials. --- Composites (Materials) --- Multiphase materials --- Reinforced solids --- Solids, Reinforced --- Two phase materials --- Amorphous substances --- Ceramics --- Glazing --- Ceramic technology --- Industrial ceramics --- Keramics --- Building materials --- Chemistry, Technical --- Clay --- Complex liquids --- Fluids, Complex --- Liquids --- Soft condensed matter --- Mass transport (Physics) --- Thermodynamics --- Transport theory --- Heat transfer --- Thermal transfer --- Transmission of heat --- Energy transfer --- Heat --- Mechanical engineering --- Chemistry, Physical and theoretical --- Mechanics --- Heat-engines