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Author : Anonim
Publisher : Unknown
Page : 420 pages
File Size : 51,8 Mb
Release : 2007
Category : Navier-Stokes equations
ISBN : CORNELL:31924104814367
Author : Herbert Amann,Yoshikazu Giga,Hideo Kozono,Hisashi Okamoto,Masao Yamazaki
Publisher : Birkhäuser
Page : 482 pages
File Size : 54,7 Mb
Release : 2016-03-17
Category : Mathematics
ISBN : 9783034809399
The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: 1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics.
Author : Yasunori Maekawa,Shuichi Jimbo
Publisher : Springer
Page : 303 pages
File Size : 52,7 Mb
Release : 2017-11-01
Category : Mathematics
ISBN : 9783319667645
This volume covers some of the most seminal research in the areas of mathematical analysis and numerical computation for nonlinear phenomena. Collected from the international conference held in honor of Professor Yoshikazu Giga’s 60th birthday, the featured research papers and survey articles discuss partial differential equations related to fluid mechanics, electromagnetism, surface diffusion, and evolving interfaces. Specific focus is placed on topics such as the solvability of the Navier-Stokes equations and the regularity, stability, and symmetry of their solutions, analysis of a living fluid, stochastic effects and numerics for Maxwell’s equations, nonlinear heat equations in critical spaces, viscosity solutions describing various kinds of interfaces, numerics for evolving interfaces, and a hyperbolic obstacle problem. Also included in this volume are an introduction of Yoshikazu Giga’s extensive academic career and a long list of his published work. Students and researchers in mathematical analysis and computation will find interest in this volume on theoretical study for nonlinear phenomena.
Author : Rolf Rannacher,Adélia Sequeira
Publisher : Springer Science & Business Media
Page : 667 pages
File Size : 54,7 Mb
Release : 2010-03-17
Category : Mathematics
ISBN : 9783642040689
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 : Jafar Ghazanfarian
Publisher : CRC Press
Page : 246 pages
File Size : 44,5 Mb
Release : 2024-06-21
Category : Science
ISBN : 9781040026335
Applied Continuum Mechanics for Thermo-Fluids presents the tensor notation rules and integral theorems before defining the preliminary concepts and applications of continuum mechanics. It bridges the gap between physical concepts and mathematical expressions with a rigorous mathematical treatment. After discussing fundamental concepts of continuum mechanics, the text explains basic subjects such as the Stokes hypothesis, the second coefficient of viscosity, non-Newtonian fluids, non-symmetric stress tensor, and the full Navier-Stokes equation. With coverage of interdisciplinary topics, the book highlights issues such as relativistic fluid mechanics, stochastic mechanics, fractional calculus, nanoscale fluid mechanics, polar fluids, electrodynamics, and traffic flows. It describes fundamental concepts of vorticity dynamics, including the definition of vorticity and circulation, with corresponding balance equations and related theorems. This text is intended for upper-level undergraduate and postgraduate mechanical, chemical, aerospace, civil engineering, and physics students taking continuum mechanics, advanced fluid mechanics, convective heat transfer, turbulence, or any other similar courses. In addition, this book can be an excellent resourec for scientists who want to trigger research on topics related to thermo-fluids. Instructors will be able to utilize a Solutions Manual and Figure Slides for their course.
Author : Tohru Ozawa
Publisher : Springer Nature
Page : 396 pages
File Size : 53,6 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 9783031192524
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.
Author : Joachim Escher,Patrick Guidotti,Matthias Hieber,Piotr Mucha,Jan W. Prüss,Yoshihiro Shibata,Gieri Simonett,Christoph Walker,Wojciech Zajaczkowski
Publisher : Springer Science & Business Media
Page : 712 pages
File Size : 53,5 Mb
Release : 2011-07-20
Category : Mathematics
ISBN : 9783034800754
The volume originates from the 'Conference on Nonlinear Parabolic Problems' held in celebration of Herbert Amann's 70th birthday at the Banach Center in Bedlewo, Poland. It features a collection of peer-reviewed research papers by recognized experts highlighting recent advances in fields of Herbert Amann's interest such as nonlinear evolution equations, fluid dynamics, quasi-linear parabolic equations and systems, functional analysis, and more.
Author : Piotr Mucha,Marek Niezgódka,Piotr Rybka
Publisher : Unknown
Page : 332 pages
File Size : 54,8 Mb
Release : 2009
Category : Differential equations, Parabolic
ISBN : UOM:39015075682990
Author : Karoline Götze
Publisher : Logos Verlag Berlin GmbH
Page : 106 pages
File Size : 54,5 Mb
Release : 2010
Category : Mathematics
ISBN : 9783832525996
We consider the initial boundary value problem for the movement of a rigid body in a viscous incompressible fluid. It is shown that, locally in time, a unique strong solution exists. This result has been known in the case of Newtonian fluids, in Hilbert spaces. Here, Banach space techniques are used to relax the conditions on the data and to extend the result to generalized Newtonian models. The proof rests on a suitable choice of coordinates, on maximal regularity estimates for the linearized fluid systems and on a suitable decomposition of the forces which determine the coupling of rigid and fluid parts. It works similarly in two and in three space dimensions, for exterior and for bounded fluid domains.
Author : Anonim
Publisher : Unknown
Page : 932 pages
File Size : 49,7 Mb
Release : 2008
Category : Mathematics
ISBN : UOM:39015078588798
Author : Sven Gross,Arnold Reusken
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 52,8 Mb
Release : 2011-04-26
Category : Mathematics
ISBN : 9783642196867
This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.
Author : Mitsuru Sugimoto,Tohru Ozawa
Publisher : Unknown
Page : 136 pages
File Size : 45,9 Mb
Release : 2012
Category : Differential equations, Nonlinear
ISBN : UCBK:C111815564
Author : Tohru Ozawa,Mitsuru Sugimoto
Publisher : Unknown
Page : 160 pages
File Size : 55,5 Mb
Release : 2010
Category : Differential equations, Nonlinear
ISBN : UCBK:C105175143
Author : Hua Chen,Yiming Long,Yasumasa Nishiura
Publisher : World Scientific
Page : 319 pages
File Size : 44,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814449755
The aim of the SinoOCoJapan Conference of Young Mathematicians was to provide a forum for presenting and discussing recent trends and developments in differential equations and their applications, as well as to promote scientific exchanges and collaborations among young mathematicians both from China and Japan.The topics discussed in this proceedings include mean curvature flows, KAM theory, N-body problems, flows on Riemannian manifolds, hyperbolic systems, vortices, water waves, and reaction diffusion systems.
Author : Yiming Long,Hua Chen,Yasumasa Nishiura
Publisher : World Scientific
Page : 320 pages
File Size : 51,8 Mb
Release : 2012-12-31
Category : Mathematics
ISBN : 9789814449762
The aim of the Sino-Japan Conference of Young Mathematicians was to provide a forum for presenting and discussing recent trends and developments in differential equations and their applications, as well as to promote scientific exchanges and collaborations among young mathematicians both from China and Japan.The topics discussed in this proceedings include mean curvature flows, KAM theory, N-body problems, flows on Riemannian manifolds, hyperbolic systems, vortices, water waves, and reaction diffusion systems.