Spde In Hydrodynamics Recent Progress And Prospects

Author : Sergio Albeverio,Franco Flandoli,Yakov G. Sinai
Publisher : Springer Science & Business Media
Page : 183 pages
File Size : 54,5 Mb
Release : 2008-04-14
Category : Mathematics
ISBN : 9783540784920

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SPDE in Hydrodynamics: Recent Progress and Prospects by Sergio Albeverio,Franco Flandoli,Yakov G. Sinai Pdf

Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics. In the second course, Franco Flandoli starts from 3D Navier-Stokes equations and ends with turbulence. Finally, Yakov Sinai, in the 3rd course, describes some rigorous mathematical results for multidimensional Navier-Stokes systems and some recent results on the one-dimensional Burgers equation with random forcing.

Author : Sergio Albeverio,Franco Flandoli,Yakov G. Sinai
Publisher : Springer
Page : 174 pages
File Size : 43,5 Mb
Release : 2008-04-01
Category : Mathematics
ISBN : 9783540784937

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SPDE in Hydrodynamics: Recent Progress and Prospects by Sergio Albeverio,Franco Flandoli,Yakov G. Sinai Pdf

Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics. In the second course, Franco Flandoli starts from 3D Navier-Stokes equations and ends with turbulence. Finally, Yakov Sinai, in the 3rd course, describes some rigorous mathematical results for multidimensional Navier-Stokes systems and some recent results on the one-dimensional Burgers equation with random forcing.

Author : Anonim
Publisher : Unknown
Page : 166 pages
File Size : 43,6 Mb
Release : 2008
Category : Hydrodynamics
ISBN : OCLC:228105435

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SPDE in Hydrodynamic by Anonim Pdf

Author : Sergio Albeverio,Franco Flandoli,Yakov G. Sinai
Publisher : Springer
Page : 174 pages
File Size : 51,5 Mb
Release : 2009-09-03
Category : Mathematics
ISBN : 3540847731

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SPDE in Hydrodynamics: Recent Progress and Prospects by Sergio Albeverio,Franco Flandoli,Yakov G. Sinai Pdf

Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics. In the second course, Franco Flandoli starts from 3D Navier-Stokes equations and ends with turbulence. Finally, Yakov Sinai, in the 3rd course, describes some rigorous mathematical results for multidimensional Navier-Stokes systems and some recent results on the one-dimensional Burgers equation with random forcing.

Author : James C. Robinson,José L. Rodrigo,Witold Sadowski,Alejandro Vidal-López
Publisher : Cambridge University Press
Page : 247 pages
File Size : 45,5 Mb
Release : 2016-01-21
Category : Mathematics
ISBN : 9781107554979

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Recent Progress in the Theory of the Euler and Navier-Stokes Equations by James C. Robinson,José L. Rodrigo,Witold Sadowski,Alejandro Vidal-López Pdf

An accessible summary of a wide range of active research topics written by leaders in their field, including exciting new results.

Author : Helge Holden,Ragni Piene
Publisher : Springer
Page : 774 pages
File Size : 47,9 Mb
Release : 2019-02-23
Category : Mathematics
ISBN : 9783319990286

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The Abel Prize 2013-2017 by Helge Holden,Ragni Piene Pdf

The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an accompanying website (http://extras.springer.com/). This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the work of the previous Abel Prize winners.

Author : Laure Saint-Raymond
Publisher : Springer
Page : 194 pages
File Size : 43,9 Mb
Release : 2009-04-20
Category : Science
ISBN : 9783540928478

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Hydrodynamic Limits of the Boltzmann Equation by Laure Saint-Raymond Pdf

The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy.

Author : Rolf Rannacher,Adélia Sequeira
Publisher : Springer Science & Business Media
Page : 667 pages
File Size : 49,6 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 : Franco Flandoli,Eliseo Luongo
Publisher : Springer Nature
Page : 206 pages
File Size : 43,9 Mb
Release : 2023-06-11
Category : Mathematics
ISBN : 9789819903856

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Stochastic Partial Differential Equations in Fluid Mechanics by Franco Flandoli,Eliseo Luongo Pdf

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 consequences on large-scale properties of a fluid.

Author : Astrid Hilbert,Elisa Mastrogiacomo,Sonia Mazzucchi,Barbara Rüdiger,Stefania Ugolini
Publisher : Springer Nature
Page : 390 pages
File Size : 42,8 Mb
Release : 2023-04-02
Category : Mathematics
ISBN : 9783031140310

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Quantum and Stochastic Mathematical Physics by Astrid Hilbert,Elisa Mastrogiacomo,Sonia Mazzucchi,Barbara Rüdiger,Stefania Ugolini Pdf

Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had several impacts to solve problems related, among other topics, to thermo- and fluid dynamics. His scientific works in the theory of interacting particles and its extension to configuration spaces lead, e.g., to the solution of open problems in statistical mechanics and quantum field theory. Together with Raphael Hoegh Krohn he introduced the theory of infinite dimensional Dirichlet forms, which nowadays is used in many different contexts, and new methods in the theory of Feynman path integration. He did not fear to further develop different methods in Mathematics, like, e.g., the theory of non-standard analysis and p-adic numbers.

Author : Sergio Albeverio,Ana Bela Cruzeiro,Darryl Holm
Publisher : Springer
Page : 265 pages
File Size : 50,6 Mb
Release : 2017-11-17
Category : Mathematics
ISBN : 9783319634531

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Stochastic Geometric Mechanics by Sergio Albeverio,Ana Bela Cruzeiro,Darryl Holm Pdf

Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled “Geometric mechanics – variational and stochastic methods” run in the first half of 2015 at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Fédérale de Lausanne. The aim of the semester was to develop a common language needed to handle the wide variety of problems and phenomena occurring in stochastic geometric mechanics. It gathered mathematicians and scientists from several different areas of mathematics (from analysis, probability, numerical analysis and statistics, to algebra, geometry, topology, representation theory, and dynamical systems theory) and also areas of mathematical physics, control theory, robotics, and the life sciences, with the aim of developing the new research area in a concentrated joint effort, both from the theoretical and applied points of view. The lectures were given by leading specialists in different areas of mathematics and its applications, building bridges among the various communities involved and working jointly on developing the envisaged new interdisciplinary subject of stochastic geometric mechanics.

Author : Franco Flandoli
Publisher : Springer
Page : 182 pages
File Size : 44,5 Mb
Release : 2011-03-02
Category : Mathematics
ISBN : 9783642182310

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Random Perturbation of PDEs and Fluid Dynamic Models by Franco Flandoli Pdf

The book deals with the random perturbation of PDEs which lack well-posedness, mainly because of their non-uniqueness, in some cases because of blow-up. The aim is to show that noise may restore uniqueness or prevent blow-up. This is not a general or easy-to-apply rule, and the theory presented in the book is in fact a series of examples with a few unifying ideas. The role of additive and bilinear multiplicative noise is described and a variety of examples are included, from abstract parabolic evolution equations with non-Lipschitz nonlinearities to particular fluid dynamic models, like the dyadic model, linear transport equations and motion of point vortices.

Author : Miroslav Bulíček,Eduard Feireisl,Milan Pokorný
Publisher : Springer
Page : 190 pages
File Size : 50,5 Mb
Release : 2018-09-26
Category : Mathematics
ISBN : 9783319943435

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New Trends and Results in Mathematical Description of Fluid Flows by Miroslav Bulíček,Eduard Feireisl,Milan Pokorný Pdf

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 of mathematical fluid mechanics.

Author : Kaïs Ammari,Stéphane Gerbi
Publisher : American Mathematical Soc.
Page : 185 pages
File Size : 44,5 Mb
Release : 2020-11-12
Category : Education
ISBN : 9781470455477

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Identification and Control: Some New Challenges by Kaïs Ammari,Stéphane Gerbi Pdf

This volume contains the proceedings of the Summer School on Identification and Control: some challenges, held from June 18–20, 2019, in Monastir, Tunisia. The articles cover new developments in control theory and inverse problems. First, the problem of Calderón, which consists of determining a conductivity appearing in an elliptic equation from excitation and measurements on a part of the boundary of the domain, is studied. Second, an introduction to the mathematical analysis of inverse spectral problems of Borg-Levinson type is presented. Third, the control of multi-component systems of wave equations, focusing on the notion of simultaneous control (using the same control scheme in all components of the system at hand) and indirect control (using a single control for a system consisting of two components), is presented. Last, the study of the cost of control for parabolic systems, the finite time stabilization of hyperbolic control systems by boundary feedback laws, and image reconstruction by data assimilation are addressed.

Author : James C. Robinson,José Luis Rodrigo Diez,Witold Sadowski
Publisher : Cambridge University Press
Page : 275 pages
File Size : 44,7 Mb
Release : 2012-10-18
Category : Mathematics
ISBN : 9781107609259

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Mathematical Aspects of Fluid Mechanics by James C. Robinson,José Luis Rodrigo Diez,Witold Sadowski Pdf

A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.