Elements of Continuum Mechanics and Conservation Laws

• I. Elementary Properties of Deformations and Stresses.- II. Effective Elastic Deformation.- III. Differential Equations of Dynamical Processes.- IV. Well-Posedness of Differential Equations and Thermodynamics.- V. Multi-Dimensional Thermodynamically Compatible Conservation Laws.- Appendix. Structure of Thermodynamically Compatible Systems — S. K. Godunov.- § 1. Mathematical Aspects.- § 2. The Simplest Galilei-Invariant Thermodynamically Compatible Systems.- § 3. Methods of Constructing Equations.- § 4. Some Facts of the Theory of Representations of Orthogonal Transformations of Three-Dimensional Space.- § 5. The Clebsch—Gordan Coefficients.- § 6. Orthogonal Invariants.- Literature.

From the reviews:"The authors present a systematic investigation of a variety of models in mathematical physics. … The theory presented here stems from some very beautiful results obtained by the authors concerning the formulation of differential equations describing explosive deformations of metals." (Konstantina Trivisa, Mathematical Reviews, 2005 e)