Advances in Mathematical Fluid Mechanics – serie
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51 produkter
51 produkter
1 286 kr
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This book summarizes the main advances in the field of nonlinear evolution and pattern formation caused by longwave instabilities in fluids. It will allow readers to master the multiscale asymptotic methods and become familiar with applications of these methods in a variety of physical problems. Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout. This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics.
913 kr
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This book summarizes the main advances in the field of nonlinear evolution and pattern formation caused by longwave instabilities in fluids. It will allow readers to master the multiscale asymptotic methods and become familiar with applications of these methods in a variety of physical problems. Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout. This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics.
806 kr
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This book offers a thorough guide starting from fundamental functional analysis leading to the coupling of Stokes and Darcy equations, including numerical analysis and scientific computing.
Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and its Sharpness
Häftad, Engelska, 2019
541 kr
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This monograph focuses on the partial regularity theorem, as developed by Caffarelli, Kohn, and Nirenberg (CKN), and offers a proof of the upper bound on the Hausdorff dimension of the singular set of weak solutions of the Navier-Stokes inequality, while also providing a clear and insightful presentation of Scheffer’s constructions showing their bound cannot be improved. A short, complete, and self-contained proof of CKN is presented in the second chapter, allowing the remainder of the book to be fully dedicated to a topic of central importance: the sharpness result of Scheffer. Chapters three and four contain a highly readable proof of this result, featuring new improvements as well. Researchers in mathematical fluid mechanics, as well as those working in partial differential equations more generally, will find this monograph invaluable.
Large Flux Problem to the Navier-Stokes Equations
Global Strong Solutions in Cylindrical Domains
Häftad, Engelska, 2019
492 kr
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This monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without any restrictions on the magnitude of the initial velocity, the external force, or the flux.
1 499 kr
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This contributed volume is based on talks given at the August 2016 summer school “Fluids Under Pressure,” held in Prague as part of the “Prague-Sum” series. Written by experts in their respective fields, chapters explore the complex role that pressure plays in physics, mathematical modeling, and fluid flow analysis. Specific topics covered include:Oceanic and atmospheric dynamicsIncompressible flowsViscous compressible flowsWell-posedness of the Navier-Stokes equationsWeak solutions to the Navier-Stokes equationsFluids Under Pressure will be a valuable resource for graduate students and researchers studying fluid flow dynamics.
1 499 kr
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This contributed volume is based on talks given at the August 2016 summer school “Fluids Under Pressure,” held in Prague as part of the “Prague-Sum” series. Written by experts in their respective fields, chapters explore the complex role that pressure plays in physics, mathematical modeling, and fluid flow analysis. Specific topics covered include:Oceanic and atmospheric dynamicsIncompressible flowsViscous compressible flowsWell-posedness of the Navier-Stokes equationsWeak solutions to the Navier-Stokes equationsFluids Under Pressure will be a valuable resource for graduate students and researchers studying fluid flow dynamics.
1 393 kr
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This volume offers an overview of the area of waves in fluids and the role they play in the mathematical analysis and numerical simulation of fluid flows. Based on lectures given at the summer school “Waves in Flows”, held in Prague from August 27-31, 2018, chapters are written by renowned experts in their respective fields. Featuring an accessible and flexible presentation, readers will be motivated to broaden their perspectives on the interconnectedness of mathematics and physics. A wide range of topics are presented, working from mathematical modelling to environmental, biomedical, and industrial applications. Specific topics covered include:Equatorial wave–current interactionsWater–wave problemsGravity wave propagationFlow–acoustic interactionsWaves in Flows will appeal to graduate students and researchers in both mathematics and physics. Because of the applications presented, it will also be of interest to engineers working on environmental and industrial issues.
1 391 kr
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This volume offers an overview of the area of waves in fluids and the role they play in the mathematical analysis and numerical simulation of fluid flows. Based on lectures given at the summer school “Waves in Flows”, held in Prague from August 27-31, 2018, chapters are written by renowned experts in their respective fields. Featuring an accessible and flexible presentation, readers will be motivated to broaden their perspectives on the interconnectedness of mathematics and physics. A wide range of topics are presented, working from mathematical modelling to environmental, biomedical, and industrial applications. Specific topics covered include:Equatorial wave–current interactionsWater–wave problemsGravity wave propagationFlow–acoustic interactionsWaves in Flows will appeal to graduate students and researchers in both mathematics and physics. Because of the applications presented, it will also be of interest to engineers working on environmental and industrial issues.
860 kr
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This volume explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods.
966 kr
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This mathematical monograph details the authors' results on solutions to problems governing the simultaneous motion of two incompressible fluids.
Equations of Motion for Incompressible Viscous Fluids
With Mixed Boundary Conditions
Inbunden, Engelska, 2021
1 393 kr
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This monograph explores the motion of incompressible fluids by presenting and incorporating various boundary conditions possible for real phenomena.
Equations of Motion for Incompressible Viscous Fluids
With Mixed Boundary Conditions
Häftad, Engelska, 2022
1 176 kr
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This monograph explores the motion of incompressible fluids by presenting and incorporating various boundary conditions possible for real phenomena.
Bio-Mimetic Swimmers in Incompressible Fluids
Modeling, Well-Posedness, and Controllability
Häftad, Engelska, 2021
492 kr
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This monograph presents an original, concise mathematical theory for bio-mimetic swimmers in the framework of a coupled system of PDEs and ODEs.
Recent Advances in Mechanics and Fluid-Structure Interaction with Applications
The Bong Jae Chung Memorial Volume
Inbunden, Engelska, 2022
1 393 kr
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This volume examines current research in mechanics and its applications to various disciplines, with a particular focus on fluid-structure interaction (FSI).
Recent Advances in Mechanics and Fluid-Structure Interaction with Applications
The Bong Jae Chung Memorial Volume
Häftad, Engelska, 2023
1 393 kr
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This volume examines current research in mechanics and its applications to various disciplines, with a particular focus on fluid-structure interaction (FSI).
860 kr
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This volume presents state-of-the-art developments in theoretical and applied fluid mechanics.
1 499 kr
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Specific topics covered include:Stabilization of the 3D Navier-Stokes systemFlutter stabilization of flow-state systemsTurbulence controlDesign through analysisFluids Under Control will appeal to graduate students and researchers in both mathematics and physics.
1 499 kr
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Specific topics covered include:Stabilization of the 3D Navier-Stokes systemFlutter stabilization of flow-state systemsTurbulence controlDesign through analysisFluids Under Control will appeal to graduate students and researchers in both mathematics and physics.
1 710 kr
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This book provides a successful solution to one of the central problems of mathematical fluid mechanics: the Leray’s problem on existence of a solution to the boundary value problem for the stationary Navier—Stokes system in bounded domains under sole condition of zero total flux.
1 712 kr
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This book provides a successful solution to one of the central problems of mathematical fluid mechanics: the Leray’s problem on existence of a solution to the boundary value problem for the stationary Navier—Stokes system in bounded domains under sole condition of zero total flux.
1 712 kr
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This book presents the analysis of viscous flows in thin tube structures, and develops a multi-scale method for modeling blood flow. The problems of all asymptotic methods used in the book are explained as well, such as the dimension reduction and the boundary layer method.
1 712 kr
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This book presents the analysis of viscous flows in thin tube structures, and develops a multi-scale method for modeling blood flow. For the reader’s convenience, the authors introduce all necessary notions and theorems from functional analysis and the classical theory of the Navier-Stokes equations. The problems of all asymptotic methods used in the book are explained as well, such as the dimension reduction and the boundary layer method. Through several numerical experiments, readers will discover that the proposed methods are more flexible than the theoretically predicted conditions. Multiscale Analysis of Viscous Flows in Thin Tube Structures will be a valuable resource for a wide range of readers, including applied mathematicians, specialists in bio-engineering, and biophysicists.
Nonlinear Dispersive Waves
Based on the 2023 Workshop at University College Cork, Ireland
Inbunden, Engelska, 2024
1 606 kr
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This volume explores a number of exciting developments in the field of nonlinear dispersive waves with a particular focus on waves arising in the ocean. Chapters are based on talks given at the workshop “Nonlinear Dispersive Waves” that was held at University College Cork, Ireland, on April 24-25, 2023. Specific topics covered include:The recovery of steady rotational wave surface profiles;Hamiltonian models for the propagation of long gravity waves;Waves propagating at the surface of a fluid covered by floating ice plates;The use of spherical coordinates to describe arctic ocean waves;Boundary value problems related to the Muskat Problem.Nonlinear Dispersive Waves will appeal to researchers as well as graduate students interested in this active area of research.
1 174 kr
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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.
1 926 kr
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1 179 kr
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Compressible Euler System
2 317 kr
Kommande
This book explores state-of-the-art developments in theoretical and applied fluid mechanics with a focus on stochastics and their role in mathematical analysis and numerical simulation of different types of flows. Chapters are based on lectures given at the summer school “Stochastics in Fluids,” held in Prague in August 2023. With its accessible and flexible presentation, readers will be motivated to deepen their understanding of how mathematics and physics are connected. Specific topics covered include:Stochastic Lagrangian theory of zonal flowsStochastic models in turbulenceTurbulent flows and stochastic modelingSmall noise inviscid limitThis book appeals to graduate students and researchers in both mathematics and physics.
New Directions in Mathematical Fluid Mechanics
The Alexander V. Kazhikhov Memorial Volume
Inbunden, Engelska, 2009
1 073 kr
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A.V. Kazhikhov was a giant in the field of Mathematical Fluid Mechanics. Dedicated to him, this book offers contributions from many specialists and covers the latest in Mathematical Fluid Mechanics and the field of nonlinear partial differential equations.
1 073 kr
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The book collects the most significant contributions of the outstanding Czech mathematician Jindřich Nečas, who was honoured with the Order of Merit of the Czech Republic by President Václav Havel. Starting with Nečas’s brief biography and short comments on his role in the beginnings of modern PDE research in Prague, the book then follows the periods of his research career. The first part is devoted to the linear theory of partial differential equations. Its topics include the variational approach to linear boundary value problems and the Rellich - Nečas inequalities, together with their applications to boundary regularity. The second part is concerned with the regularity for nonlinear elliptic systems, which are related to Hilbert’s 19th and 20th problems. The third part focuses on Nonlinear Functional Analysis and its applications to non-linear PDEs, while the last part deals with topics in the mathematical theory of various models in Continuum Mechanics, including elasticity and plasticity, the Navier-Stokes equations, transonic flows, and multipolar fluids. The editorial contributions were written by: I. Babuška, P. Ciarlet, P. Drábek, M. Feistauer, I. Hlaváček, J. Jarušek, O. John, J. Kristensen, A. Kufner, J. Málek, G. Mingione, Š. Nečasová, M. Pokorný, P. Quittner, T. Roubíček, G. Seregin and J. Stará.