0510887 20240103222909.620191112235959.9 978-3-030-02064-4 1860-6245 85062910009 10.1007/978-3-030-02065-1 Cham Springer Nature 2019 617 s. P Interaction of Mechanics and Mathematics Continuum Mechanics of Solids Thermodynamics Mathematical Methods in Continuum Mechanics of Solids Calculus of Variations Elliptic Partial Differential Equations Parabolic Partial Differential Equations Hyperbolic Partial Differential Equations cav_un_auth*0101142 Department of Decision Making Theory 50 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision-Making Theory MTR Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0243096 Roubíček Tomáš UT-L D 2 - Termodynamika D 2 - Thermodynamics D2 – Thermodynamics CZ Ústav termomechaniky AV ČR, v. v. i. https://link.springer.com/book/10.1007/978-3-030-02065-1 cav_un_auth*0331681 GF16-34894L GA ČR CZ cav_un_auth*0377385 GA19-04956S GA ČR CZ cav_un_auth*0347023 GA17-04301S GA ČR cav_un_auth*0365435 GA18-03834S GA ČR 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 with 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. BA 10000 10100 10101 2020 2 4 A hod sml 4ah 4as 20231122144421.1 RVO:67985556 RVO:61388998 http://hdl.handle.net/11104/0302686 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED S Publishing Agreement 20190829 2019 Soubory v repozitáři: kruzik-0510887.pdf, kruzik-0510887-book publishing agreement.pdf 2019 Cham Springer Nature 978-3-030-02064-4 85062910009 SCOPUS PUBMED WOS