Mathematical Analysis In Fluid Mechanics Selected Recent Results

Author : Raphaël Danchin,Reinhard Farwig,Jiří Neustupa,Patrick Penel
Publisher : American Mathematical Soc.
Page : 128 pages
File Size : 55,9 Mb
Release : 2018-06-26
Category : Fluid mechanics
ISBN : 9781470436469

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Mathematical Analysis in Fluid Mechanics: Selected Recent Results by Raphaël Danchin,Reinhard Farwig,Jiří Neustupa,Patrick Penel Pdf

This volume contains the proceedings of the International Conference on Vorticity, Rotation and Symmetry (IV)—Complex Fluids and the Issue of Regularity, held from May 8–12, 2017, in Luminy, Marseille, France. The papers cover topics in mathematical fluid mechanics ranging from the classical regularity issue for solutions of the 3D Navier-Stokes system to compressible and non-Newtonian fluids, MHD flows and mixtures of fluids. Topics of different kinds of solutions, boundary conditions, and interfaces are also discussed.

Author : Raphaël Danchin
Publisher : Unknown
Page : 254 pages
File Size : 48,6 Mb
Release : 2018
Category : Electronic books
ISBN : 1470448076

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Mathematical Analysis in Fluid Mechanics by Raphaël Danchin Pdf

This volume contains the proceedings of the International Conference on Vorticity, Rotation and Symmetry (IV)--Complex Fluids and the Issue of Regularity, held from May 8-12, 2017, in Luminy, Marseille, France. The papers cover topics in mathematical fluid mechanics ranging from the classical regularity issue for solutions of the 3D Navier-Stokes system to compressible and non-Newtonian fluids, MHD flows and mixtures of fluids. Topics of different kinds of solutions, boundary conditions, and interfaces are also discussed.

Author : D. Cioranescu,V. Girault,K.R. Rajagopal
Publisher : Springer
Page : 394 pages
File Size : 55,8 Mb
Release : 2016-07-29
Category : Science
ISBN : 9783319393308

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Mechanics and Mathematics of Fluids of the Differential Type by D. Cioranescu,V. Girault,K.R. Rajagopal Pdf

This text is the first of its kind to bring together both the thermomechanics and mathematical analysis of Reiner-Rivlin fluids and fluids of grades 2 and 3 in a single book. Each part of the book can be considered as being self-contained. The first part of the book is devoted to a description of the mechanics, thermodynamics, and stability of flows of fluids of grade 2 and grade 3. The second part of the book is dedicated to the development of rigorous mathematical results concerning the equations governing the motion of a family of fluids of the differential type. Finally, the proofs of a number of useful results are collected in an appendix.

Author : Jose Francisco Rodrigues,Adelia Sequeira
Publisher : CRC Press
Page : 280 pages
File Size : 49,7 Mb
Release : 2020-10-02
Category : Mathematics
ISBN : 9781000115239

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Mathematical Topics in Fluid Mechanics by Jose Francisco Rodrigues,Adelia Sequeira Pdf

This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains. It includes review of the mathematical analysis of incompressible and compressible flows and results in magnetohydrodynamic and electrohydrodynamic stability and thermoconvective flow of Boussinesq-Stefan type. These studies, along with brief communications on a variety of related topics comprise the proceedings of a summer course held in Lisbon, Portugal in 1991. Together they provide a set of comprehensive survey and advanced introduction to problems in fluid mechanics and partial differential equations.

Author : Jiri Neustupa,Patrick Penel
Publisher : Birkhäuser
Page : 271 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882439

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Mathematical Fluid Mechanics by Jiri Neustupa,Patrick Penel Pdf

Mathematical modeling and numerical simulation in fluid mechanics are topics of great importance both in theory and technical applications. The present book attempts to describe the current status in various areas of research. The 10 chapters, mostly survey articles, are written by internationally renowned specialists and offer a range of approaches to and views of the essential questions and problems. In particular, the theories of incompressible and compressible Navier-Stokes equations are considered, as well as stability theory and numerical methods in fluid mechanics. Although the book is primarily written for researchers in the field, it will also serve as a valuable source of information to graduate students.

Author : Rolf Rannacher,Adélia Sequeira
Publisher : Springer Science & Business Media
Page : 667 pages
File Size : 42,5 Mb
Release : 2010-03-17
Category : Mathematics
ISBN : 9783642040689

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Advances in Mathematical Fluid Mechanics by Rolf Rannacher,Adélia Sequeira Pdf

The present volume celebrates the 60th birthday of Professor Giovanni Paolo Galdi and honors his remarkable contributions to research in the ?eld of Mathematical Fluid Mechanics. The book contains a collection of 35 peer reviewed papers, with authors from 20 countries, re?ecting the worldwide impact and great inspiration by his work over the years. These papers were selected from invited lectures and contributed talks presented at the International Conference on Mathematical Fluid Mechanics held in Estoril, Portugal, May 21–25, 2007 and organized on the oc- sion of Professor Galdi’s 60th birthday. We express our gratitude to all the authors and reviewers for their important contributions. Professor Galdi devotes his career to research on the mathematical analysis of the Navier-Stokes equations and non-Newtonian ?ow problems, with special emphasis on hydrodynamic stability and ?uid-particle interactions, impressing the worldwide mathematical communities with his results. His numerous contributions have laid down signi?cant milestones in these ?elds, with a great in?uence on interdis- plinary research communities. He has advanced the careers of numerous young researchers through his generosity and encouragement, some directly through int- lectual guidance and others indirectly by pairing them with well chosen senior c- laborators. A brief review of Professor Galdi’s activities and some impressions by colleagues and friends are included here.

Author : Giovanni P. Galdi,John G. Heywood,Rolf Rannacher
Publisher : Birkhäuser
Page : 300 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034884242

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Fundamental Directions in Mathematical Fluid Mechanics by Giovanni P. Galdi,John G. Heywood,Rolf Rannacher Pdf

This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent research papers and conference lectures. Several other articles are devoted mainly to new results, but present them within a wider context and with a fuller exposition than is usual for journals. The plan to publish these articles as a book began with the lecture notes for the short courses of G.P. Galdi and R. Rannacher, given at the beginning of the International Workshop on Theoretical and Numerical Fluid Dynamics, held in Vancouver, Canada, July 27 to August 2, 1996. A renewed energy for this project came with the founding of the Journal of Mathematical Fluid Mechanics, by G.P. Galdi, J. Heywood, and R. Rannacher, in 1998. At that time it was decided that this volume should be published in association with the journal, and expanded to include articles by J. Heywood and W. Nagata, J. Heywood and M. Padula, and P. Gervasio, A. Quarteroni and F. Saleri. The original lecture notes were also revised and updated.

Author : Adem Kılıçman,Hari M. Srivastava,M. Mursaleen,Zanariah Abdul Majid
Publisher : Springer
Page : 109 pages
File Size : 53,5 Mb
Release : 2016-02-26
Category : Mathematics
ISBN : 9789811005190

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Recent Advances in Mathematical Sciences by Adem Kılıçman,Hari M. Srivastava,M. Mursaleen,Zanariah Abdul Majid Pdf

This book features selected papers from The Seventh International Conference on Research and Education in Mathematics that was held in Kuala Lumpur, Malaysia from 25 - 27th August 2015. With chapters devoted to the most recent discoveries in mathematics and statistics and serve as a platform for knowledge and information exchange between experts from academic and industrial sectors, it covers a wide range of topics, including numerical analysis, fluid mechanics, operation research, optimization, statistics and game theory. It is a valuable resource for pure and applied mathematicians, statisticians, engineers and scientists, and provides an excellent overview of the latest research in mathematical sciences.

Author : Alexandre J. Chorin,Jerrold E. Marsden
Publisher : Springer Science & Business Media
Page : 176 pages
File Size : 46,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468403640

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A Mathematical Introduction to Fluid Mechanics by Alexandre J. Chorin,Jerrold E. Marsden Pdf

Mathematical Introduction to Fluid Mechanics presents some selected highlights of currently interesting topics in fluid mechanics in a compact form, as well as providing a concise and appealing exposition of the basic theory of fluid mechanics. The first chapter contains an elementary derivation of the equations, and the concept of vorticity is introduced. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented. Chapter 3 contains an analysis of one-dimensional gas flow from a mildly modern point of view. Weak solution, Riemann problems, Glimm's scheme, and combustion waves are covered.

Author : Michael Renardy
Publisher : SIAM
Page : 110 pages
File Size : 52,8 Mb
Release : 2000-01-01
Category : Mathematics
ISBN : 9780898714579

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Mathematical Analysis of Viscoelastic Flows by Michael Renardy Pdf

This monograph is based on a series of lectures presented at the 1999 NSF-CBMS Regional Research Conference on Mathematical Analysis of Viscoelastic Flows. It begins with an introduction to phenomena observed in viscoelastic flows, the formulation of mathematical equations to model such flows, and the behavior of various models in simple flows. It also discusses the asymptotics of the high Weissenberg limit, the analysis of flow instabilities, the equations of viscoelastic flows, jets and filaments and their breakup, as well as several other topics.

Author : I. V. Denisova,V. A. Solonnikov
Publisher : Springer Nature
Page : 319 pages
File Size : 46,7 Mb
Release : 2021-09-20
Category : Mathematics
ISBN : 9783030700539

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Motion of a Drop in an Incompressible Fluid by I. V. Denisova,V. A. Solonnikov Pdf

This mathematical monograph details the authors' results on solutions to problems governing the simultaneous motion of two incompressible fluids. Featuring a thorough investigation of the unsteady motion of one fluid in another, researchers will find this to be a valuable resource when studying non-coercive problems to which standard techniques cannot be applied. As authorities in the area, the authors offer valuable insight into this area of research, which they have helped pioneer. This volume will offer pathways to further research for those interested in the active field of free boundary problems in fluid mechanics, and specifically the two-phase problem for the Navier-Stokes equations. The authors’ main focus is on the evolution of an isolated mass with and without surface tension on the free interface. Using the Lagrange and Hanzawa transformations, local well-posedness in the Hölder and Sobolev–Slobodeckij on L2 spaces is proven as well. Global well-posedness for small data is also proven, as is the well-posedness and stability of the motion of two phase fluid in a bounded domain. Motion of a Drop in an Incompressible Fluid will appeal to researchers and graduate students working in the fields of mathematical hydrodynamics, the analysis of partial differential equations, and related topics.

Author : G.P.. NECAS GALDI (J.),J Necas
Publisher : CRC Press
Page : 176 pages
File Size : 40,6 Mb
Release : 2020-06-30
Category : Electronic
ISBN : 0367449773

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Recent Developments in Theoretical Fluid Mechanics by G.P.. NECAS GALDI (J.),J Necas Pdf

Including previously unpublished, original research material, this comprehensive book analyses topics of fundamental importance in theoretical fluid mechanics. The five papers appearing in this volume are centred around the mathematical theory of the Navier-Stokes equations (incompressible and compressible) and certain selected non-Newtonian modifications.

Author : Yoshikazu Giga,A. Novotný
Publisher : Unknown
Page : 128 pages
File Size : 53,9 Mb
Release : 2024-06-28
Category : Fluid mechanics
ISBN : 331910151X

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Handbook of Mathematical Analysis in Mechanics of Viscous Fluids by Yoshikazu Giga,A. Novotný Pdf

Author : Peter Constantin,Arnaud Debussche,Giovanni P. Galdi,Michael Růžička,Gregory Seregin
Publisher : Springer
Page : 323 pages
File Size : 52,7 Mb
Release : 2013-04-03
Category : Mathematics
ISBN : 9783642362972

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Topics in Mathematical Fluid Mechanics by Peter Constantin,Arnaud Debussche,Giovanni P. Galdi,Michael Růžička,Gregory Seregin Pdf

This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential singularities, qualitative and quantitative results about the behavior in special cases, asymptotic behavior, statistical properties and ergodicity.

Author : Harald van Brummelen,Alessandro Corsini,Simona Perotto,Gianluigi Rozza
Publisher : Springer Nature
Page : 358 pages
File Size : 41,7 Mb
Release : 2020-02-22
Category : Mathematics
ISBN : 9783030307059

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Numerical Methods for Flows by Harald van Brummelen,Alessandro Corsini,Simona Perotto,Gianluigi Rozza Pdf

This book includes selected contributions on applied mathematics, numerical analysis, numerical simulation and scientific computing related to fluid mechanics problems, presented at the FEF-“Finite Element for Flows” conference, held in Rome in spring 2017. Written by leading international experts and covering state-of-the-art topics in numerical simulation for flows, it provides fascinating insights into and perspectives on current and future methodological and numerical developments in computational science. As such, the book is a valuable resource for researchers, as well as Masters and Ph.D students.