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 Free Download I. S. Krasil'shchik, A. B. Sossinsky, "The Diverse World of PDEs: Geometry and Mathematical Physics" English | ISBN: 1470471477 | 2023 | 241 pages | PDF | 4 MB This volume contains the proceedings of the Alexandre Vinogradov Memorial Conference on Diffieties, Cohomological Physics, and Other Animals, held from December 13-17, 2021, at the Independent University of Moscow and Moscow State University, Moscow, Russia.  Free Download I. S. Krasil'shchik, A. B. Sossinsky , "The Diverse World of PDEs: Algebraic and Cohomological Aspects" English | ISBN: 1470473550 | 2023 | 228 pages | PDF | 3 MB This volume contains the proceedings of the Alexandre Vinogradov Memorial Conference on Diffieties, Cohomological Physics, and Other Animals, held from December 13-17, 2021, at Independent University of Moscow and Moscow State University, Moscow, Russia.  Free Download A Compact Course on Linear PDEs English | 2023 | ISBN: 3031359755 | 262 Pages | PDF EPUB (True) | 24 MB This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including the biharmonic problem, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, some basic results on Fredholm alternative and spectral theory, saddle point problems, parabolic and linear Navier-Stokes equations, and hyperbolic and Maxwell equations. Almost 80 exercises are added, and the complete solution of all of them is included. The work is mainly addressed to students in Mathematics, but also students in Engineering with a good mathematical background should be able to follow the theory presented here. This second edition has been enriched by some new sections and new exercises; in particular, three important equations are now included: the biharmonic equation, the linear Navier-Stokes equations and the Maxwell equations.  Introductory Finite Volume Methods for PDEs English | 2011 | ISBN: 978-87-7681-882-1 | 140 pages | EPUB | 1.36 MB This book will be useful to scientists and engineers who want a simple introduction to the finite volume method. A series of computer codes are given on the companion website along with worked solutions to exercises. This book is a companion text to 'Introductory Finite Difference Methods for PDEs'.  English | 2022 | ISBN: 978-3031142673 | 192 pages | True PDF EPUB | 15.91 MB This volume presents an accessible overview of mathematical control theory and analysis of PDEs, providing young researchers a snapshot of these active and rapidly developing areas. The chapters are based on two mini-courses and additional talks given at the spring school "Trends in PDEs and Related Fields" held at the University of Sidi Bel Abbès, Algeria from 8-10 April 2019. In addition to providing an in-depth summary of these two areas, chapters also highlight breakthroughs on more specific topics such as: Sobolev spaces and elliptic boundary value problemsLocal energy solutions of the nonlinear wave equationGeometric control of eigenfunctions of Schrödinger operators  Sergei B. Kuksin, "Analysis of Hamiltonian PDEs" English | 2000 | pages: 224 | ISBN: 0198503954 | DJVU | 1,7 mb For the last 20-30 years, interest among mathematicians and physicists in infinite-dimensional Hamiltonian systems and Hamiltonian partial differential equations has been growing strongly, and many papers and a number of books have been written on integrable Hamiltonian PDEs. During the last  Contemporary Research in Elliptic PDEs and Related Topics by Serena Dipierro English | EPUB | 2019 | 502 Pages | ISBN : 3030189201 | 30.3 MB This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017. The contributions cover several aspects of partial differential equations whose development in recent years has experienced major breakthroughs in terms of both theory and applications.  Alberto Valli, "A Compact Course on Linear PDEs " English | ISBN: 3030582043 | 2020 | 248 pages | EPUB, PDF | 14 MB + 3 MB This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including some basic results on Fredholm alternative and spectral theory, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, saddle point problems, parabolic equations and hyperbolic equations. Many exercises are added, and the complete solution of all of them is included. The work is mainly addressed to students in Mathematics, but also students in Engineering with a good mathematical background should be able to follow the theory presented here. |
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