Hybrid Function Spaces, Heat and Navier-Stokes Equations

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Publisher : Erich Schmidt Verlag GmbH & Co. KG
ISBN 13 : 9783037191507
Total Pages : 200 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Hybrid Function Spaces, Heat and Navier-Stokes Equations by : Hans Triebel

Download or read book Hybrid Function Spaces, Heat and Navier-Stokes Equations written by Hans Triebel and published by Erich Schmidt Verlag GmbH & Co. KG. This book was released on 2014 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the continuation of Local Function Spaces, Heat and Navier-Stokes Equations (EMS Tracts in Mathematics, volume 20, 2013) by the author. A new approach is presented to exhibit relations between Sobolev spaces, Besov spaces, and Holder-Zygmund spaces on the one hand and Morrey-Campanato spaces on the other. Morrey-Campanato spaces extend the notion of functions of bounded mean oscillation. These spaces play a crucial role in the theory of linear and nonlinear PDEs. Chapter 1 (Introduction) describes the main motivations and intentions of this book. Chapter 2 is a self-contained introduction to Morrey spaces. Chapter 3 deals with hybrid smoothness spaces (which are between local and global spaces) in Euclidean $n$-space based on the Morrey-Campanato refinement of the Lebesgue spaces. The presented approach, which relies on wavelet decompositions, is applied in Chapter 4 to linear and nonlinear heat equations in global and hybrid spaces. The obtained assertions about function spaces and nonlinear heat equations are used in Chapters 5 and 6 to study Navier-Stokes equations in hybrid and global spaces. This book is addressed to graduate students and mathematicians who have a working knowledge of basic elements of (global) function spaces and who are interested in applications to nonlinear PDEs with heat and Navier-Stokes equations as prototypes.

Morrey Spaces

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Publisher : CRC Press
ISBN 13 : 1000064077
Total Pages : 316 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Morrey Spaces by : Yoshihiro Sawano

Download or read book Morrey Spaces written by Yoshihiro Sawano and published by CRC Press. This book was released on 2020-09-16 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding

Theory of Function Spaces IV

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Publisher : Springer Nature
ISBN 13 : 3030358917
Total Pages : 167 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Theory of Function Spaces IV by : Hans Triebel

Download or read book Theory of Function Spaces IV written by Hans Triebel and published by Springer Nature. This book was released on 2020-01-23 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the continuation of the "Theory of Function Spaces" trilogy, published by the same author in this series and now part of classic literature in the area of function spaces. It can be regarded as a supplement to these volumes and as an accompanying book to the textbook by D.D. Haroske and the author "Distributions, Sobolev spaces, elliptic equations".

Function Spaces and Inequalities

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Publisher : Springer
ISBN 13 : 981106119X
Total Pages : 334 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Function Spaces and Inequalities by : Pankaj Jain

Download or read book Function Spaces and Inequalities written by Pankaj Jain and published by Springer. This book was released on 2017-10-20 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev–Besov and Triebel–Lizorkin type smoothness spaces. The book includes papers by leading international researchers, presented at the International Conference on Function Spaces and Inequalities, held at the South Asian University, New Delhi, India, on 11–15 December 2015, which focused on recent developments in the theory of spaces with variable exponents. It also offers further investigations concerning Sobolev-type embeddings, discrete inequalities and harmonic analysis. Each chapter is dedicated to a specific topic and written by leading experts, providing an overview of the subject and stimulating future research.

Analysis in Banach Spaces

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Publisher : Springer Nature
ISBN 13 : 3031465989
Total Pages : 839 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Analysis in Banach Spaces by : Tuomas Hytönen

Download or read book Analysis in Banach Spaces written by Tuomas Hytönen and published by Springer Nature. This book was released on 2024-01-08 with total page 839 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and tools to the problem of maximal regularity of evolution equations. The exposition provides a unified treatment of a large body of results, much of which has previously only been available in the form of research papers. Some of the more classical topics are presented in a novel way using modern techniques amenable to a vector-valued treatment. Thanks to its accessible style with complete and detailed proofs, this book will be an invaluable reference for researchers interested in functional analysis, harmonic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.

Theory of Besov Spaces

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Publisher : Springer
ISBN 13 : 9811308365
Total Pages : 964 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Theory of Besov Spaces by : Yoshihiro Sawano

Download or read book Theory of Besov Spaces written by Yoshihiro Sawano and published by Springer. This book was released on 2018-11-04 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained textbook of the theory of Besov spaces and Triebel–Lizorkin spaces oriented toward applications to partial differential equations and problems of harmonic analysis. These include a priori estimates of elliptic differential equations, the T1 theorem, pseudo-differential operators, the generator of semi-group and spaces on domains, and the Kato problem. Various function spaces are introduced to overcome the shortcomings of Besov spaces and Triebel–Lizorkin spaces as well. The only prior knowledge required of readers is familiarity with integration theory and some elementary functional analysis.Illustrations are included to show the complicated way in which spaces are defined. Owing to that complexity, many definitions are required. The necessary terminology is provided at the outset, and the theory of distributions, L^p spaces, the Hardy–Littlewood maximal operator, and the singular integral operators are called upon. One of the highlights is that the proof of the Sobolev embedding theorem is extremely simple. There are two types for each function space: a homogeneous one and an inhomogeneous one. The theory of function spaces, which readers usually learn in a standard course, can be readily applied to the inhomogeneous one. However, that theory is not sufficient for a homogeneous space; it needs to be reinforced with some knowledge of the theory of distributions. This topic, however subtle, is also covered within this volume. Additionally, related function spaces—Hardy spaces, bounded mean oscillation spaces, and Hölder continuous spaces—are defined and discussed, and it is shown that they are special cases of Besov spaces and Triebel–Lizorkin spaces.

Functional Analysis, Harmonic Analysis, and Image Processing

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Publisher : American Mathematical Soc.
ISBN 13 : 1470428369
Total Pages : 422 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Functional Analysis, Harmonic Analysis, and Image Processing by : Michael Cwikel

Download or read book Functional Analysis, Harmonic Analysis, and Image Processing written by Michael Cwikel and published by American Mathematical Soc.. This book was released on 2017-07-26 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the memory of Björn Jawerth. It contains original research contributions and surveys in several of the areas of mathematics to which Björn made important contributions. Those areas include harmonic analysis, image processing, and functional analysis, which are of course interrelated in many significant and productive ways. Among the contributors are some of the world's leading experts in these areas. With its combination of research papers and surveys, this book may become an important reference and research tool. This book should be of interest to advanced graduate students and professional researchers in the areas of functional analysis, harmonic analysis, image processing, and approximation theory. It combines articles presenting new research with insightful surveys written by foremost experts.

Teaching and Learning of Fluid Mechanics

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Publisher : MDPI
ISBN 13 : 303936443X
Total Pages : 362 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Teaching and Learning of Fluid Mechanics by : Ashwin Vaidya

Download or read book Teaching and Learning of Fluid Mechanics written by Ashwin Vaidya and published by MDPI. This book was released on 2020-12-02 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains research on the pedagogical aspects of fluid mechanics and includes case studies, lesson plans, articles on historical aspects of fluid mechanics, and novel and interesting experiments and theoretical calculations that convey complex ideas in creative ways. The current volume showcases the teaching practices of fluid dynamicists from different disciplines, ranging from mathematics, physics, mechanical engineering, and environmental engineering to chemical engineering. The suitability of these articles ranges from early undergraduate to graduate level courses and can be read by faculty and students alike. We hope this collection will encourage cross-disciplinary pedagogical practices and give students a glimpse of the wide range of applications of fluid dynamics.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 994 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 994 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Heat Transfer

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Publisher : BoD – Books on Demand
ISBN 13 : 9533075503
Total Pages : 658 pages
Book Rating : 4.5/5 (33 download)

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Book Synopsis Heat Transfer by : Aziz Belmiloudi

Download or read book Heat Transfer written by Aziz Belmiloudi and published by BoD – Books on Demand. This book was released on 2011-02-14 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few decades there has been a prolific increase in research and development in area of heat transfer, heat exchangers and their associated technologies. This book is a collection of current research in the above mentioned areas and describes modelling, numerical methods, simulation and information technology with modern ideas and methods to analyse and enhance heat transfer for single and multiphase systems. The topics considered include various basic concepts of heat transfer, the fundamental modes of heat transfer (namely conduction, convection and radiation), thermophysical properties, computational methodologies, control, stabilization and optimization problems, condensation, boiling and freezing, with many real-world problems and important modern applications. The book is divided in four sections : "Inverse, Stabilization and Optimization Problems", "Numerical Methods and Calculations", "Heat Transfer in Mini/Micro Systems", "Energy Transfer and Solid Materials", and each section discusses various issues, methods and applications in accordance with the subjects. The combination of fundamental approach with many important practical applications of current interest will make this book of interest to researchers, scientists, engineers and graduate students in many disciplines, who make use of mathematical modelling, inverse problems, implementation of recently developed numerical methods in this multidisciplinary field as well as to experimental and theoretical researchers in the field of heat and mass transfer.

Tempered Homogeneous Function Spaces

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Publisher : European Mathematical Society
ISBN 13 : 9783037191552
Total Pages : 148 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Tempered Homogeneous Function Spaces by : Hans Triebel

Download or read book Tempered Homogeneous Function Spaces written by Hans Triebel and published by European Mathematical Society. This book was released on 2015 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with homogeneous function spaces of Besov-Sobolev type within the framework of tempered distributions in Euclidean $n$-space based on Gauss-Weierstrass semi-groups. Related Fourier-analytical descriptions and characterizations in terms of derivatives and differences are incorporated after as so-called domestic norms. This approach avoids the usual ambiguities modulo polynomials when homogeneous function spaces are considered in the context of homogeneous tempered distributions. These notes are addressed to graduate students and mathematicians having a working knowledge of basic elements of the theory of function spaces, especially of Besov-Sobolev type. In particular, the book might be of interest for researchers dealing with (nonlinear) heat and Navier-Stokes equations in homogeneous function spaces.

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1979 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sustaining University Program Research

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Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.:/5 (42 download)

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Download or read book Sustaining University Program Research written by and published by . This book was released on 1969 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Program Abstracts

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Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (3 download)

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Download or read book Computer Program Abstracts written by and published by . This book was released on 1972 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

NASA Technical Memorandum

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Publisher :
ISBN 13 :
Total Pages : 492 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis NASA Technical Memorandum by :

Download or read book NASA Technical Memorandum written by and published by . This book was released on 1994 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the International Topical Meeting on Advances in Mathematical Methods for the Solution of Nuclear Engineering Problems, Hilton International München, April 27-29, 1981 ...

Download Proceedings of the International Topical Meeting on Advances in Mathematical Methods for the Solution of Nuclear Engineering Problems, Hilton International München, April 27-29, 1981 ... PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 722 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings of the International Topical Meeting on Advances in Mathematical Methods for the Solution of Nuclear Engineering Problems, Hilton International München, April 27-29, 1981 ... by :

Download or read book Proceedings of the International Topical Meeting on Advances in Mathematical Methods for the Solution of Nuclear Engineering Problems, Hilton International München, April 27-29, 1981 ... written by and published by . This book was released on 1981 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Previews of Heat and Mass Transfer

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Publisher :
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Previews of Heat and Mass Transfer by :

Download or read book Previews of Heat and Mass Transfer written by and published by . This book was released on 1998 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: