Stochastically Forced Compressible Fluid Flows
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Stochastically Forced Compressible Fluid Flows
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Author : Dominic Breit
language : en
Publisher:
Release Date : 2018
Stochastically Forced Compressible Fluid Flows written by Dominic Breit and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Stochastically Forced Compressible Fluid Flows
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Author : Dominic Breit
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-01-22
Stochastically Forced Compressible Fluid Flows written by Dominic Breit and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-22 with Mathematics categories.
This book contains a first systematic study of compressible fluid flows subject to stochastic forcing. The bulk is the existence of dissipative martingale solutions to the stochastic compressible Navier-Stokes equations. These solutions are weak in the probabilistic sense as well as in the analytical sense. Moreover, the evolution of the energy can be controlled in terms of the initial energy. We analyze the behavior of solutions in short-time (where unique smooth solutions exists) as well as in the long term (existence of stationary solutions). Finally, we investigate the asymptotics with respect to several parameters of the model based on the energy inequality. Contents Part I: Preliminary results Elements of functional analysis Elements of stochastic analysis Part II: Existence theory Modeling fluid motion subject to random effects Global existence Local well-posedness Relative energy inequality and weak–strong uniqueness Part III: Applications Stationary solutions Singular limits
Stochastically Forced Compressible Fluid Flows
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Author : Dominic Breit
language : en
Publisher: de Gruyter
Release Date : 2018
Stochastically Forced Compressible Fluid Flows written by Dominic Breit and has been published by de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
This book presents a comprehensive treatment of compressible fluid flows which also include stochastic effects. Topics covered are weak and strong solutions of the compressible Navier-Stokes equations, existence, uniqueness, and well-posedeness theo
Boltzmann Equation Maxwell Models And Hydrodynamics Beyond Navier Stokes
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Author : Alexander V. Bobylev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-10-12
Boltzmann Equation Maxwell Models And Hydrodynamics Beyond Navier Stokes written by Alexander V. Bobylev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-12 with Mathematics categories.
This two-volume monograph is a comprehensive and up-to-date presentation of the theory and applications of kinetic equations. The first volume covers many-particle dynamics, Maxwell models of the Boltzmann equation (including their exact and self-similar solutions), and hydrodynamic limits beyond the Navier-Stokes level.
Hyperbolic Problems Theory Numerics Applications Volume I
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Author : Carlos Parés
language : en
Publisher: Springer Nature
Release Date : 2024-05-27
Hyperbolic Problems Theory Numerics Applications Volume I written by Carlos Parés and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-27 with Mathematics categories.
The present volume contains a selection of papers from the XVIII International Conference on Hyperbolic Problems: Theory, Numerics, and Applications (HYP2022), which was held on June 20-24, 2022 in Málaga (Spain). The goal of this series of conferences is to bring together scientists with interests in the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models. The chapters in this volume correspond to some of the plenary lectures and to selected contributions related to theoretical aspects.
Stochastic Partial Differential Equations In Fluid Mechanics
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Author : Franco Flandoli
language : en
Publisher: Springer Nature
Release Date : 2023-06-11
Stochastic Partial Differential Equations In Fluid Mechanics written by Franco Flandoli and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-11 with Mathematics categories.
This book is devoted to stochastic Navier–Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail for using the book as a reference for advanced courses. By contrast, the third and fourth chapters describe new material that has been developed in very recent years or in works now in preparation. The new material deals with transport-type noise, its origin, and its consequences on dissipation and well-posedness properties. Finally, the last chapter is devoted to the physical intuition behind the stochastic modeling presented in the book, giving great attention to the question of the origin of noise in connection with small-scale turbulence, its mathematical form, and its consequenceson large-scale properties of a fluid.
Numerical Simulation Of Incompressible Viscous Flow
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Author : Roland Glowinski
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-09-20
Numerical Simulation Of Incompressible Viscous Flow written by Roland Glowinski and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-20 with Mathematics categories.
This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.
New Trends And Results In Mathematical Description Of Fluid Flows
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Author : Miroslav Bulíček
language : en
Publisher: Springer
Release Date : 2018-09-26
New Trends And Results In Mathematical Description Of Fluid Flows written by Miroslav Bulíček and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-26 with Mathematics categories.
The book presents recent results and new trends in the theory of fluid mechanics. Each of the four chapters focuses on a different problem in fluid flow accompanied by an overview of available older results. The chapters are extended lecture notes from the ESSAM school "Mathematical Aspects of Fluid Flows" held in Kácov (Czech Republic) in May/June 2017. The lectures were presented by Dominic Breit (Heriot-Watt University Edinburgh), Yann Brenier (École Polytechnique, Palaiseau), Pierre-Emmanuel Jabin (University of Maryland) and Christian Rohde (Universität Stuttgart), and cover various aspects of mathematical fluid mechanics – from Euler equations, compressible Navier-Stokes equations and stochastic equations in fluid mechanics to equations describing two-phase flow; from the modeling and mathematical analysis of equations to numerical methods. Although the chapters feature relatively recent results, they are presented in a form accessible to PhD students in the field ofmathematical fluid mechanics.
Fluid Structure Interactions
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Author : Michael P. Paidoussis
language : en
Publisher: Academic Press
Release Date : 2013-12-07
Fluid Structure Interactions written by Michael P. Paidoussis and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-07 with Science categories.
The first of two books concentrating on the dynamics of slender bodies within or containing axial flow, Fluid-Structure Interaction, Volume 1 covers the fundamentals and mechanisms giving rise to flow-induced vibration, with a particular focus on the challenges associated with pipes conveying fluid. This volume has been thoroughly updated to reference the latest developments in the field, with a continued emphasis on the understanding of dynamical behaviour and analytical methods needed to provide long-term solutions and validate the latest computational methods and codes. In this edition, Chapter 7 from Volume 2 has also been moved to Volume 1, meaning that Volume 1 now mainly treats the dynamics of systems subjected to internal flow, whereas in Volume 2 the axial flow is in most cases external to the flow or annular. - Provides an in-depth review of an extensive range of fluid-structure interaction topics, with detailed real-world examples and thorough referencing throughout for additional detail - Organized by structure and problem type, allowing you to dip into the sections that are relevant to the particular problem you are facing, with numerous appendices containing the equations relevant to specific problems - Supports development of long-term solutions by focusing on the fundamentals and mechanisms needed to understand underlying causes and operating conditions under which apparent solutions might not prove effective
Stochastic Geophysical Fluid Dynamics
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Author : Franco Flandoli
language : en
Publisher: Springer Nature
Release Date : 2025-08-19
Stochastic Geophysical Fluid Dynamics written by Franco Flandoli and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-19 with Mathematics categories.
This book is based on an Oberwolfach Seminar, and it intends to give an introduction and an overview to several directions of the recent research on stochastic geophysical fluid dynamics and to discuss different geophysical stochastic partial differential equations.