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Mathematical Theory Of Compressible Fluids On Moving Domains


Mathematical Theory Of Compressible Fluids On Moving Domains
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Mathematical Theory Of Compressible Fluids On Moving Domains


Mathematical Theory Of Compressible Fluids On Moving Domains
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Author : Ondřej Kreml
language : en
Publisher: Springer Nature
Release Date : 2025-02-27

Mathematical Theory Of Compressible Fluids On Moving Domains written by Ondřej Kreml and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-27 with Mathematics categories.


This monograph presents the existence and properties of both weak and strong solutions to the problems of the flow of a compressible fluid in a domain whose motion is prescribed. Chapters build upon the research of Lions and Feireisl with regards to weak solutions to the compressible version of the Navier-Stokes system, and extend it to problems on moving domains. The authors also show the existence of strong solutions to the compressible Navier-Stokes system for either a small time interval or small data. The opening chapters introduce the notation, tools, and problems covered in the rest of the book, emphasizing pedagogy and accessibility throughout. Mathematical Theory of Compressible Fluids on Moving Domains will be suitable for graduate students and researchers interested in mathematical fluid mechanics.



Asymptotic Stability Of Steady Compressible Fluids


Asymptotic Stability Of Steady Compressible Fluids
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Author : Mariarosaria Padula
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-30

Asymptotic Stability Of Steady Compressible Fluids written by Mariarosaria Padula and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-30 with Mathematics categories.


This volume introduces a systematic approach to mathematical problems involved with thermodynamic fluids. The book is written for theoretical and applied mathematicians with an interest in compressible flow, capillarity theory, and control theory.



Theory And Applications Of Viscous Fluid Flows


Theory And Applications Of Viscous Fluid Flows
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Author : Radyadour Kh. Zeytounian
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Theory And Applications Of Viscous Fluid Flows written by Radyadour Kh. Zeytounian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.


This book is the natural sequel to the study of nonviscous fluid flows pre sented in our recent book entitled "Theory and Applications of Nonviscous Fluid Flows" and published in 2002 by the Physics Editorial Department of Springer-Verlag (ISBN 3-540-41412-6 Springer-Verlag, Berlin, Heidelberg, New York). The physical concept of viscosity (for so-called "real fluids") is associated both incompressible and compressible fluids. Consequently, we have with a vast field of theoretical study and applications from which any subsection could have itself provided an area for a single book. It was, however, decided to attempt aglobaI study so that each chapter serves as an introduction to more specialized study, and the book as a whole presents a necessary broad foundation for furt her study in depth. Consequently, this volume contains many more pages than my preceding book devoted to nonviscous fluid flows and a large number (80) of figures. There are three main models for the study of viscous fluid flows: First, the model linked with viscous incompressible fluid flows, the so-called (dynamic) Navier model, governing linearly viscous divergenceless and homogeneous fluid flows. The second is the sü-called Navier-Stokes model (NS) which is linked to compressible, linearly viscous and isentropic equations für a polytropic viscous gas. The third is the so-called Navier-Stokes-Fourier model (NSF) that gov erns the motion of a compressible, linearly viscous, heat-conducting gas.



Discontinuous Finite Elements In Fluid Dynamics And Heat Transfer


Discontinuous Finite Elements In Fluid Dynamics And Heat Transfer
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Author : Ben Q. Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-29

Discontinuous Finite Elements In Fluid Dynamics And Heat Transfer written by Ben Q. Li and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-29 with Technology & Engineering categories.


Over the past several years, significant advances have been made in developing the discontinuous Galerkin finite element method for applications in fluid flow and heat transfer. Certain unique features of the method have made it attractive as an alternative for other popular methods such as finite volume and finite elements in thermal fluids engineering analyses. This book is written as an introductory textbook on the discontinuous finite element method for senior undergraduate and graduate students in the area of thermal science and fluid dynamics. It also can be used as a reference book for researchers and engineers who intend to use the method for research in computational fluid dynamics and heat transfer. A good portion of this book has been used in a course for computational fluid dynamics and heat transfer for senior undergraduate and first year graduate students. It also has been used by some graduate students for self-study of the basics of discontinuous finite elements. This monograph assumes that readers have a basic understanding of thermodynamics, fluid mechanics and heat transfer and some background in numerical analysis. Knowledge of continuous finite elements is not necessary but will be helpful. The book covers the application of the method for the simulation of both macroscopic and micro/nanoscale fluid flow and heat transfer phenomena.



Mathematical Theory Of Evolutionary Fluid Flow Structure Interactions


Mathematical Theory Of Evolutionary Fluid Flow Structure Interactions
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Author : Barbara Kaltenbacher
language : en
Publisher: Springer
Release Date : 2018-06-21

Mathematical Theory Of Evolutionary Fluid Flow Structure Interactions written by Barbara Kaltenbacher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-21 with Mathematics categories.


This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions. The first chapter provides a general description of a fluid-structure interaction, which is formulated within a realistic framework, where the structure subject to a frictional damping moves within the fluid. The second chapter then offers a multifaceted description, with often surprising results, of the case of the static interface; a case that is argued in the literature to be a good model for small, rapid oscillations of the structure. The third chapter describes flow-structure interaction where the compressible Navier-Stokes equations are replaced by the linearized Euler equation, while the solid is taken as a nonlinear plate, which oscillates in the surrounding gas flow. The final chapter focuses on a the equations of nonlinear acoustics coupled with linear acoustics or elasticity, as they arise in the context of high intensity ultrasound applications.



Mathematical Modeling In Cultural Heritage


Mathematical Modeling In Cultural Heritage
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Author : Gabriella Bretti
language : en
Publisher: Springer Nature
Release Date : 2023-08-07

Mathematical Modeling In Cultural Heritage written by Gabriella Bretti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-07 with Mathematics categories.


This book collects contributions presented at the INdAM Workshop "Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage–MACH2021", held in Rome, Italy in September 2021. The book is focused on mathematical modeling and simulation techniques with the aim of improving the current strategies of conservation and restoration in cultural heritage, sharing different experiences and approaches. The main topics are corrosion and sulphation of materials, damage and fractures, stress in thermomechanical systems, contact and adhesion problems, and phase transitions.



Fundamental Directions In Mathematical Fluid Mechanics


Fundamental Directions In Mathematical Fluid Mechanics
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Author : Giovanni P. Galdi
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Fundamental Directions In Mathematical Fluid Mechanics written by Giovanni P. Galdi and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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.



Collected Papers In Honor Of Yoshihiro Shibata


Collected Papers In Honor Of Yoshihiro Shibata
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Author : Tohru Ozawa
language : en
Publisher: Springer Nature
Release Date : 2022-11-30

Collected Papers In Honor Of Yoshihiro Shibata written by Tohru Ozawa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-30 with Mathematics categories.


Yoshihiro Shibata has made many significant contributions to the area of mathematical fluid mechanics over the course of his illustrious career, including landmark work on the Navier-Stokes equations. The papers collected here — on the occasion of his 70th birthday — are written by world-renowned researchers and celebrate his decades of outstanding achievements.



Spectral Theory Mathematical System Theory Evolution Equations Differential And Difference Equations


Spectral Theory Mathematical System Theory Evolution Equations Differential And Difference Equations
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Author : Wolfgang Arendt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-15

Spectral Theory Mathematical System Theory Evolution Equations Differential And Difference Equations written by Wolfgang Arendt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-15 with Mathematics categories.


The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers.



Theory Of The Navier Stokes Equations


Theory Of The Navier Stokes Equations
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Author : John Groves Heywood
language : en
Publisher: World Scientific
Release Date : 1998

Theory Of The Navier Stokes Equations written by John Groves Heywood and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


This volume collects the articles presented at the Third International Conference on ?The Navier-Stokes Equations: Theory and Numerical Methods?, held in Oberwolfach, Germany. The articles are important contributions to a wide variety of topics in the Navier-Stokes theory: general boundary conditions, flow exterior to an obstacle, conical boundary points, the controllability of solutions, compressible flow, non-Newtonian flow, magneto-hydrodynamics, thermal convection, the interaction of fluids with elastic solids, the regularity of solutions, and Rothe's method of approximation.