A Variational Theory of Convolution-Type Functionals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Variational Theory of Convolution-Type Functionals write by Roberto Alicandro. This book was released on 2023-05-02. A Variational Theory of Convolution-Type Functionals available in PDF, EPUB and Kindle. This book provides a general treatment of a class of functionals modelled on convolution energies with kernel having finite p-moments. A general asymptotic analysis of such non-local functionals is performed, via Gamma-convergence, in order to show that the limit may be a local functional representable as an integral. Energies of this form are encountered in many different contexts and the interest in building up a general theory is also motivated by the multiple interests in applications (e.g. peridynamics theory, population dynamics phenomena and data science). The results obtained are applied to periodic and stochastic homogenization, perforated domains, gradient flows, and point-clouds models. This book is mainly intended for mathematical analysts and applied mathematicians who are also interested in exploring further applications of the theory to pass from a non-local to a local description, both in static problems and in dynamic problems.
Applied Theory of Functional Differential Equations
Applied Theory of Functional Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applied Theory of Functional Differential Equations write by V. Kolmanovskii. This book was released on 2012-12-06. Applied Theory of Functional Differential Equations available in PDF, EPUB and Kindle. This volume provides an introduction to the properties of functional differential equations and their applications in diverse fields such as immunology, nuclear power generation, heat transfer, signal processing, medicine and economics. In particular, it deals with problems and methods relating to systems having a memory (hereditary systems). The book contains eight chapters. Chapter 1 explains where functional differential equations come from and what sort of problems arise in applications. Chapter 2 gives a broad introduction to the basic principle involved and deals with systems having discrete and distributed delay. Chapters 3-5 are devoted to stability problems for retarded, neutral and stochastic functional differential equations. Problems of optimal control and estimation are considered in Chapters 6-8. For applied mathematicians, engineers, and physicists whose work involves mathematical modeling of hereditary systems. This volume can also be recommended as a supplementary text for graduate students who wish to become better acquainted with the properties and applications of functional differential equations.
Thermodynamics And Kinetic Theory - Proceedings Of The 5th Bilateral Polish-italian Meeting
Thermodynamics And Kinetic Theory - Proceedings Of The 5th Bilateral Polish-italian Meeting - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Thermodynamics And Kinetic Theory - Proceedings Of The 5th Bilateral Polish-italian Meeting write by W Kosinski. This book was released on 1992-03-27. Thermodynamics And Kinetic Theory - Proceedings Of The 5th Bilateral Polish-italian Meeting available in PDF, EPUB and Kindle. This book deals with aspects of thermodynamic restrictions in modern continuum mechanics and with particular problems of the kinetic theory and statistical mechanics. It stresses the interplay between statistical and phenomenological modelling of physical phenomena including homogenization techniques for media with microstructure. Diverse approaches to either derivation or justification of macroscopic models by microscopic theories are presented. From the kinetic theory, the problem of existence of solutions to the Boltzmann equation and particular solutions to the discrete velocity models are also considered. The book includes papers concerning viscoelasticity treated within the framework of both rational and extended thermodynamics. Phenomenological theories of hyperbolic heat conduction in solids and fluids are also discussed.
Variational Analysis
Variational Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Variational Analysis write by R. Tyrrell Rockafellar. This book was released on 2009-06-26. Variational Analysis available in PDF, EPUB and Kindle. From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.
Advances in Heat Transfer
Advances in Heat Transfer - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Heat Transfer write by . This book was released on 1989-04-01. Advances in Heat Transfer available in PDF, EPUB and Kindle. Advances in Heat Transfer
