Interaction of Mechanics and Mathematics Mathematical Methods in Continuum Mechanics of Solids - Martin Kruzík Tomás Roubícek Kartoniert (TB)

This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains as well as their various evolutionary variants including thermodynamics. As such the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic parabolic or hyperbolic partial differential equations is the main underlying mathematical tool along with the calculus of variations. Modern concepts of these disciplines as weak solutions polyconvexity quasiconvexity nonsimple materials materials wi th various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling applied mathematics computational continuum physics and engineering as well as for professionals working in these fields.