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[null,"1.","Record Nr.",null,"UNINA9910300116703321"]
[null,null,"Autore",null,"Berlyand Leonid"]
[null,null,"Titolo",null,"Getting Acquainted with Homogenization and Multiscale / / by Leonid Berlyand, Volodymyr Rybalko"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018"]
[null,null,"ISBN",null,"3-030-01777-X"]
[null,null,"Edizione",null,"[1st ed. 2018.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XVIII, 178 p. 42 illus., 14 illus. in color.)"]
[null,null,"Collana",null,"Compact Textbooks in Mathematics, , 2296-4568"]
[null,null,"Disciplina",null,"515.353"]
[{"$nulls":4},"515.35"]
[null,null,"Soggetti",null,"Computer science - Mathematics"]
[{"$nulls":4},"Applied mathematics"]
[{"$nulls":4},"Engineering mathematics"]
[{"$nulls":4},"Differential equations, Partial"]
[{"$nulls":4},"Computational Science and Engineering"]
[{"$nulls":4},"Mathematical and Computational Engineering"]
[{"$nulls":4},"Partial Differential Equations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Chapter 1- Preliminaries -- Chapter 2- What is Homogenization and Multiscale? First Examples -- Chapter 3- Brief History and Surprising Examples in Homogenization -- Chapter 4- Formal Two-scale Asymptotic Expansions and the Corrector Problem -- Chapter 5- Compensated Compactness and Oscillating Test-functions -- Chapter 6- Two-scale Convergence -- Chapter 7- Examples of Explicit Effective Coefficients: Laminated Structures and 2D Checkerboards -- Chapter 8- Introduction to Stochastic Homogenization -- Chapter 9- G-Convergence in Nonlinear Homogenization Problems -- Chapter 10- An Example of a Nonlinear Problem: Homogenization of Plasticity and Limit Loads -- Chapter 11- Continuum Limits for Discrete Problems with Fine Scales -- References -- Appendix: Regular and Singular Perturbations and Boundary Layers -- Index."]
[null,null,null,"Sommario/riassunto","The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions to Gamma "]
[{"$nulls":4},"convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow. A blend of mathematics and examples from materials science and engineering is designed to teach a mixed audience of mathematical and non-mathematical students."]