Conformal And Potential Analysis In Hele Shaw Cells

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Conformal and Potential Analysis in Hele-Shaw Cells

Author : Björn Gustafsson
Publisher : Springer Science & Business Media
ISBN 13 : 3764377046
Total Pages : 235 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Conformal and Potential Analysis in Hele-Shaw Cells by : Björn Gustafsson

Download or read book Conformal and Potential Analysis in Hele-Shaw Cells written by Björn Gustafsson and published by Springer Science & Business Media. This book was released on 2006-08-13 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents recent and new ideas arising from the study of problems of planar fluid dynamics, and which are interesting from the point of view of geometric function theory and potential theory. the book is concerned with geometric problems for Hele-Shaw flows. Additionally, Hele-Shaw flows on parameter spaces are discussed, and connections with string theory are revealed. Assumes a graduate level understanding of real and complex analysis, and fluid mechanics.

Conformal and Potential Analysis in Hele-Shaw Cells

Author : Björn Gustafsson
Publisher :
ISBN 13 : 9780817677039
Total Pages : 231 pages
Book Rating : 4.6/5 (77 download)

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Book Synopsis Conformal and Potential Analysis in Hele-Shaw Cells by : Björn Gustafsson

Download or read book Conformal and Potential Analysis in Hele-Shaw Cells written by Björn Gustafsson and published by . This book was released on 2006 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aims at giving a presentation of ideas that arise from the problems of planar fluid dynamics and which are interesting from the point of view of geometric function theory and potential theory. This book is concerned with geometric problems for Hele-Shaw flows.

Conformal and Potential Analysis in Hele-Shaw Cells

Author : Björn Gustafsson
Publisher : Birkhauser
ISBN 13 : 9783764377038
Total Pages : 231 pages
Book Rating : 4.3/5 (77 download)

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Book Synopsis Conformal and Potential Analysis in Hele-Shaw Cells by : Björn Gustafsson

Download or read book Conformal and Potential Analysis in Hele-Shaw Cells written by Björn Gustafsson and published by Birkhauser. This book was released on 2006-07-28 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aims at giving a presentation of ideas that arise from the problems of planar fluid dynamics and which are interesting from the point of view of geometric function theory and potential theory. This book is concerned with geometric problems for Hele-Shaw flows.

Mathematical Fluid Dynamics, Present and Future

Author : Yoshihiro Shibata
Publisher : Springer
ISBN 13 : 4431564578
Total Pages : 616 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Mathematical Fluid Dynamics, Present and Future by : Yoshihiro Shibata

Download or read book Mathematical Fluid Dynamics, Present and Future written by Yoshihiro Shibata and published by Springer. This book was released on 2016-12-01 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents original papers ranging from an experimental study on cavitation jets to an up-to-date mathematical analysis of the Navier-Stokes equations for free boundary problems, reflecting topics featured at the International Conference on Mathematical Fluid Dynamics, Present and Future, held 11–14 November 2014 at Waseda University in Tokyo. The contributions address subjects in one- and two-phase fluid flows, including cavitation, liquid crystal flows, plasma flows, and blood flows. Written by internationally respected experts, these papers highlight the connections between mathematical, experimental, and computational fluid dynamics. The book is aimed at a wide readership in mathematics and engineering, including researchers and graduate students interested in mathematical fluid dynamics.

Complex Analysis and Dynamical Systems VI

Author : Lawrence Zalcman
Publisher : American Mathematical Soc.
ISBN 13 : 1470417030
Total Pages : 354 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Complex Analysis and Dynamical Systems VI by : Lawrence Zalcman

Download or read book Complex Analysis and Dynamical Systems VI written by Lawrence Zalcman and published by American Mathematical Soc.. This book was released on 2016-05-19 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19–24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers range over a wide variety of topics in complex analysis, quasiconformal mappings, and complex dynamics. Taken together, the articles provide the reader with a panorama of activity in these areas, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 653) is devoted to partial differential equations, differential geometry, and radon transforms.

Five Lectures in Complex Analysis

Author : Contreras Márquez Contreras
Publisher : American Mathematical Soc.
ISBN 13 : 0821848097
Total Pages : 177 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Five Lectures in Complex Analysis by : Contreras Márquez Contreras

Download or read book Five Lectures in Complex Analysis written by Contreras Márquez Contreras and published by American Mathematical Soc.. This book was released on 2010 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains state-of-art survey papers in complex analysis based on lectures given at the second Winter School on Complex Analysis and Operator Theory held in February 2008 at the University of Sevilla, Sevilla, Spain. --

Classical and Stochastic Laplacian Growth

Author : Björn Gustafsson
Publisher : Springer
ISBN 13 : 3319082876
Total Pages : 329 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Classical and Stochastic Laplacian Growth by : Björn Gustafsson

Download or read book Classical and Stochastic Laplacian Growth written by Björn Gustafsson and published by Springer. This book was released on 2014-11-14 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph covers a multitude of concepts, results, and research topics originating from a classical moving-boundary problem in two dimensions (idealized Hele-Shaw flows, or classical Laplacian growth), which has strong connections to many exciting modern developments in mathematics and theoretical physics. Of particular interest are the relations between Laplacian growth and the infinite-size limit of ensembles of random matrices with complex eigenvalues; integrable hierarchies of differential equations and their spectral curves; classical and stochastic Löwner evolution and critical phenomena in two-dimensional statistical models; weak solutions of hyperbolic partial differential equations of singular-perturbation type; and resolution of singularities for compact Riemann surfaces with anti-holomorphic involution. The book also provides an abundance of exact classical solutions, many explicit examples of dynamics by conformal mapping as well as a solid foundation of potential theory. An extensive bibliography covering over twelve decades of results and an introduction rich in historical and biographical details complement the eight main chapters of this monograph. Given its systematic and consistent notation and background results, this book provides a self-contained resource. It is accessible to a wide readership, from beginner graduate students to researchers from various fields in natural sciences and mathematics.

Analysis as a Life

Author : Sergei Rogosin
Publisher : Springer
ISBN 13 : 3030026507
Total Pages : 329 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Analysis as a Life by : Sergei Rogosin

Download or read book Analysis as a Life written by Sergei Rogosin and published by Springer. This book was released on 2019-01-30 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday. It aims at being a tribute to the excellent achievements of Heinrich Begehr in complex analysis and complex differential equations, and especially to his prominent role as one of the creators and long-time leader of the International Society for Analysis, its Applications and Computation (ISAAC).

Harmonic and Complex Analysis and its Applications

Author : Alexander Vasil'ev
Publisher : Springer Science & Business Media
ISBN 13 : 331901806X
Total Pages : 364 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Harmonic and Complex Analysis and its Applications by : Alexander Vasil'ev

Download or read book Harmonic and Complex Analysis and its Applications written by Alexander Vasil'ev and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. It coordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings, potential theory, Banach spaces of analytic functions and their applications to the problems of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveys written as a result of activities of the Programme and will be interesting and useful for professionals and novices in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader will undoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme.

Laplacian Growth on Branched Riemann Surfaces

Author : Björn Gustafsson
Publisher : Springer Nature
ISBN 13 : 3030698637
Total Pages : 156 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Laplacian Growth on Branched Riemann Surfaces by : Björn Gustafsson

Download or read book Laplacian Growth on Branched Riemann Surfaces written by Björn Gustafsson and published by Springer Nature. This book was released on 2021-03-22 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies solutions of the Polubarinova–Galin and Löwner–Kufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved. When the mapping function is no longer locally univalent interesting phase transitions take place, leading to structural changes in the data of the solution, for example new zeros and poles in the case of rational maps. This topic intersects with several areas, including mathematical physics, potential theory and complex analysis. The text will be valuable to researchers and doctoral students interested in fluid dynamics, integrable systems, and conformal field theory.

Theoretical and Applied Aerodynamics

Author : J. J. Chattot
Publisher : Springer
ISBN 13 : 9401798257
Total Pages : 625 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Theoretical and Applied Aerodynamics by : J. J. Chattot

Download or read book Theoretical and Applied Aerodynamics written by J. J. Chattot and published by Springer. This book was released on 2015-03-31 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers classical and modern aerodynamics, theories and related numerical methods, for senior and first-year graduate engineering students, including: -The classical potential (incompressible) flow theories for low speed aerodynamics of thin airfoils and high and low aspect ratio wings. - The linearized theories for compressible subsonic and supersonic aerodynamics. - The nonlinear transonic small disturbance potential flow theory, including supercritical wing sections, the extended transonic area rule with lift effect, transonic lifting line and swept or oblique wings to minimize wave drag. Unsteady flow is also briefly discussed. Numerical simulations based on relaxation mixed-finite difference methods are presented and explained. - Boundary layer theory for all Mach number regimes and viscous/inviscid interaction procedures used in practical aerodynamics calculations. There are also four chapters covering special topics, including wind turbines and propellers, airplane design, flow analogies and hypersonic (rotational) flows. A unique feature of the book is its ten self-tests and their solutions as well as an appendix on special techniques of functions of complex variables, method of characteristics and conservation laws and shock waves. The book is the culmination of two courses taught every year by the two authors for the last two decades to seniors and first-year graduate students of aerospace engineering at UC Davis.

Complex Analysis

Author : Prem K. Kythe
Publisher : CRC Press
ISBN 13 : 149871899X
Total Pages : 365 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Complex Analysis by : Prem K. Kythe

Download or read book Complex Analysis written by Prem K. Kythe and published by CRC Press. This book was released on 2016-04-19 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Analysis: Conformal Inequalities and the Bieberbach Conjecture discusses the mathematical analysis created around the Bieberbach conjecture, which is responsible for the development of many beautiful aspects of complex analysis, especially in the geometric-function theory of univalent functions. Assuming basic knowledge of complex analysis

Open-Space Microfluidics

Author : Emmanuel Delamarche
Publisher : John Wiley & Sons
ISBN 13 : 3527696806
Total Pages : 443 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Open-Space Microfluidics by : Emmanuel Delamarche

Download or read book Open-Space Microfluidics written by Emmanuel Delamarche and published by John Wiley & Sons. This book was released on 2018-01-18 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summarizing the latest trends and the current state of this research field, this up-to-date book discusses in detail techniques to perform localized alterations on surfaces with great flexibility, including microfluidic probes, multifunctional nanopipettes and various surface patterning techniques, such as dip pen nanolithography. These techniques are also put in perspective in terms of applications and how they can be transformative of numerous (bio)chemical processes involving surfaces. The editors are from IBM Zurich, the pioneers and pacesetters in the field at the forefront of research in this new and rapidly expanding area.

Advances in Analysis

Author : Charles Fefferman
Publisher : Princeton University Press
ISBN 13 : 0691159416
Total Pages : 478 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Advances in Analysis by : Charles Fefferman

Download or read book Advances in Analysis written by Charles Fefferman and published by Princeton University Press. This book was released on 2014-01-05 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His fundamental contributions include the Kunze-Stein phenomenon, the construction of new representations, the Stein interpolation theorem, the idea of a restriction theorem for the Fourier transform, and the theory of Hp Spaces in several variables. Through his great discoveries, through books that have set the highest standard for mathematical exposition, and through his influence on his many collaborators and students, Stein has changed mathematics. Drawing inspiration from Stein’s contributions to harmonic analysis and related topics, this volume gathers papers from internationally renowned mathematicians, many of whom have been Stein’s students. The book also includes expository papers on Stein’s work and its influence. The contributors are Jean Bourgain, Luis Caffarelli, Michael Christ, Guy David, Charles Fefferman, Alexandru D. Ionescu, David Jerison, Carlos Kenig, Sergiu Klainerman, Loredana Lanzani, Sanghyuk Lee, Lionel Levine, Akos Magyar, Detlef Müller, Camil Muscalu, Alexander Nagel, D. H. Phong, Malabika Pramanik, Andrew S. Raich, Fulvio Ricci, Keith M. Rogers, Andreas Seeger, Scott Sheffield, Luis Silvestre, Christopher D. Sogge, Jacob Sturm, Terence Tao, Christoph Thiele, Stephen Wainger, and Steven Zelditch.

Advances in Complex Analysis and Operator Theory

Author : Fabrizio Colombo
Publisher : Birkhäuser
ISBN 13 : 3319623621
Total Pages : 398 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Advances in Complex Analysis and Operator Theory by : Fabrizio Colombo

Download or read book Advances in Complex Analysis and Operator Theory written by Fabrizio Colombo and published by Birkhäuser. This book was released on 2017-09-30 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers contributions written by Daniel Alpay’s friends and collaborators. Several of the papers were presented at the International Conference on Complex Analysis and Operator Theory held in honor of Professor Alpay’s 60th birthday at Chapman University in November 2016. The main topics covered are complex analysis, operator theory and other areas of mathematics close to Alpay’s primary research interests. The book is recommended for mathematicians from the graduate level on, working in various areas of mathematical analysis, operator theory, infinite dimensional analysis, linear systems, and stochastic processes.

Singularities: Formation, Structure and Propagation

Author : J. Eggers
Publisher : Cambridge University Press
ISBN 13 : 1107098416
Total Pages : 471 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Singularities: Formation, Structure and Propagation by : J. Eggers

Download or read book Singularities: Formation, Structure and Propagation written by J. Eggers and published by Cambridge University Press. This book was released on 2015-09-10 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores a wide range of singular phenomena, providing mathematical tools for understanding them and highlighting their common features.

Geometry of PDEs and Related Problems

Author : Xavier Cabré
Publisher : Springer
ISBN 13 : 3319951866
Total Pages : 207 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Geometry of PDEs and Related Problems by : Xavier Cabré

Download or read book Geometry of PDEs and Related Problems written by Xavier Cabré and published by Springer. This book was released on 2018-10-03 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry. It gives an overview of some of the themes of recent research in the field and their mutual links, describing the main underlying ideas, and providing up-to-date references. Collecting together the lecture notes of the five mini-courses given at the CIME Summer School held in Cetraro (Cosenza, Italy) in the week of June 19–23, 2017, the volume presents a friendly introduction to a broad spectrum of up-to-date and hot topics in the study of PDEs, describing the state-of-the-art in the subject. It also gives further details on the main ideas of the proofs, their technical difficulties, and their possible extension to other contexts. Aiming to be a primary source for researchers in the field, the book will attract potential readers from several areas of mathematics.