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[null,"1.","Record Nr.",null,"UNINA9910790492103321"]
[null,null,"Autore",null,"Florescu Liviu C"]
[null,null,"Titolo",null,"Young measures and compactness in measure spaces [[electronic resource] /] / Liviu C. Florescu, Christiane Godet-Thobie"]
[null,null,"Pubbl/distr/stampa",null,"Berlin ; ; Boston, : De Gruyter, c2012"]
[null,null,"ISBN",null,"1-283-85791-X"]
[{"$nulls":4},"3-11-028051-5"]
[{"$nulls":4},"3-11-028052-3"]
[null,null,"Descrizione fisica",null,"1 online resource (352 p.)"]
[null,null,"Classificazione",null,"SK 430"]
[null,null,"Disciplina",null,"515/.42"]
[null,null,"Soggetti",null,"Spaces of measures"]
[{"$nulls":4},"Measure theory"]
[{"$nulls":4},"Mathematical optimization"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Front matter -- Preface -- Contents -- Chapter 1. Weak Compactness in Measure Spaces -- Chapter 2. Bounded Measures on Topological Spaces -- Chapter 3. Young Measures -- Bibliography -- Index -- About the Authors"]
[null,null,null,"Sommario/riassunto","In recent years, technological progress created a great need for complex mathematical models. Many practical problems can be formulated using optimization theory and they hope to obtain an optimal solution. In most cases, such optimal solution can not be found. So, non-convex optimization problems (arising, e.g., in variational calculus, optimal control, nonlinear evolutions equations) may not possess a classical minimizer because the minimizing sequences have typically rapid oscillations. This behavior requires a relaxation of notion of solution for such problems; often we can obtain such a relaxation by means of Young measures.  This monograph is a self-contained book which gathers all theoretical aspects related to the defining of Young measures (measurability, disintegration, stable convergence, compactness), a book which is also a useful tool for those interested in theoretical foundations of the measure theory. It provides a complete set of classical and recent compactness results in measure and function spaces. The book is organized in three chapters: The first chapter covers background material on measure theory in abstract frame. In the second chapter the measure theory on topological spaces "]
[{"$nulls":4},"is presented. Compactness results from the first two chapters are used to study Young measures in the third chapter. All results are accompanied by full demonstrations and for many of these results different proofs are given. All statements are fully justified and proved."]
[null,"2.","Record Nr.",null,"UNINA9910877114503321"]
[null,null,"Autore",null,"Pérez Emilio M"]
[null,null,"Titolo",null,"Mechanically Interlocked Materials : Polymers, Nanomaterials, MOFs, and More"]
[null,null,"Pubbl/distr/stampa",null,"Newark : , : John Wiley & Sons, Incorporated, , 2024"]
[{"$nulls":4},"©2024"]
[null,null,"ISBN",null,"9783527828951"]
[{"$nulls":4},"3527828958"]
[{"$nulls":4},"9783527828968"]
[{"$nulls":4},"3527828966"]
[{"$nulls":4},"9783527828975"]
[{"$nulls":4},"3527828974"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (300 pages)"]
[null,null,"Disciplina",null,"547.1226"]
[null,null,"Soggetti",null,"Molecular machinery"]
[{"$nulls":4},"Metal-organic frameworks"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Cover -- Title Page -- Copyright -- Contents -- Preface -- Chapter 1 Force‐Promoted Transformations in Mechanically Linked Molecules --   1.1 Introduction --   1.2 SMFS in the Study of Non‐covalent Interactions --     1.2.1 Rotaxanes --     1.2.2 Poly‐(pseudo)rotaxanes --     1.2.3 Catenanes --   1.3 Strength of Mechanical Bonds --     1.3.1 Polymers Containing a Rotaxane --     1.3.2 Polymers Containing a Catenane --   1.4 Changes in Optical Properties – Reversible and Irreversible Changes of Optical Properties by Movement of Macrocycle in a Rotaxane --   1.5 Conclusions --   References -- Chapter 2 Colloidal Nanomaterials with Mechanically Interlocked Parts --   2.1 Introduction --   2.2 Installing and Actuating Mechanically Interlocked Molecular Architectures at Colloidal Nanoparticle Surfaces --   2.3 Modulating Nanoparticle Physicochemical Properties Using Switchable Mechanically Interlocked Architectures --   2.4 Interlocked Gates for Nanoparticle Pores: From Cargo Release to Nanoscale Communication --     2.4.1 Optimizing Mechanisms for Cargo Release --     2.4.2 Autonomous Drug Delivery Triggered By Endogenous Conditions --     2.4.3 Cargo Release Using Tissue‐Penetrating External Triggers --     2.4.4 Nanoscale Communication Between Responsive Nanoparticles --   2.5 "]
[{"$nulls":4},"Mechanically Interlocked Molecular Links for Nanoparticle Assemblies --     2.5.1 Pseudorotaxane‐linked Nanoparticle Assembly–Disassembly --     2.5.2 Fully Interlocked Molecular Links for Nanoparticle Assemblies --   2.6 From Switches to Motors and Beyond: The Future of Colloidal Nanomaterials with Mechanically Interlocked Parts"]
[null,null,null,"Sommario/riassunto","This book, edited by Emilio M. Pérez, explores the field of mechanically interlocked molecules (MIMs) and their applications in materials science. It covers a variety of topics including the synthesis and properties of rotaxanes and catenanes, the interaction of MIMs with metal-organic frameworks (MOFs), and their use in molecular motors and nanotubes. The book also delves into the creation and utility of DNA-based interlocked structures, as well as synthetic mechanically interlocked polymers. Targeting researchers and professionals in chemistry and materials science, the book aims to provide an in-depth understanding of the dynamic mechanical properties of MIMs and their potential to advance technology in diverse fields."]