Global Special Regular Solutions To The Navier Stokes Equations In Axially Symmetric Domains Under Boundary Slip Conditions
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The Large Flux Problem To The Navier Stokes Equations
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Author : Joanna Rencławowicz
language : en
Publisher: Springer Nature
Release Date : 2019-12-09
The Large Flux Problem To The Navier Stokes Equations written by Joanna Rencławowicz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-09 with Mathematics categories.
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. To accomplish this, some assumptions are necessary: The flux is close to homogeneous, and the initial velocity and the external force do not change too much along the axis of the cylinder. This is achieved by utilizing a sophisticated method of deriving energy type estimates for weak solutions and global estimates for regular solutions—an approach that is wholly unique within the existing literature on the Navier-Stokes equations. To demonstrate these results, three main steps are followed: first, the existence of weak solutions is shown; next, the conditions guaranteeing the regularity of weak solutions are presented; and, lastly, global regular solutions are proven. This volume is ideal for mathematicians whose work involves the Navier-Stokes equations, and, more broadly, researchers studying fluid mechanics.
Global Special Regular Solutions To The Navier Stokes Equations In Axially Symmetric Domains Under Boundary Slip Conditions
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Author : Wojciech M. Zajączkowski
language : en
Publisher:
Release Date : 2005
Global Special Regular Solutions To The Navier Stokes Equations In Axially Symmetric Domains Under Boundary Slip Conditions written by Wojciech M. Zajączkowski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Boundary value problems categories.
Topological Methods In Nonlinear Analysis
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Author :
language : en
Publisher:
Release Date : 2007
Topological Methods In Nonlinear Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Nonlinear functional analysis categories.
Annales Polonici Mathematici
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Author :
language : en
Publisher:
Release Date : 2005
Annales Polonici Mathematici written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Dissertationes Mathematicae
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Author :
language : en
Publisher:
Release Date : 2005
Dissertationes Mathematicae written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Every Separable Banach Space Has A Basis With Uniformly Controlled Permutations
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Author : Paolo Terenzi
language : en
Publisher:
Release Date : 2006
Every Separable Banach Space Has A Basis With Uniformly Controlled Permutations written by Paolo Terenzi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Banach spaces categories.
Nonlinear Problems In Mathematical Physics And Related Topics I
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Author : Michael Sh. Birman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Problems In Mathematical Physics And Related Topics I written by Michael Sh. Birman 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 2012-12-06 with Mathematics categories.
The new series, International Mathematical Series founded by Kluwer / Plenum Publishers and the Russian publisher, Tamara Rozhkovskaya is published simultaneously in English and in Russian and starts with two volumes dedicated to the famous Russian mathematician Professor Olga Aleksandrovna Ladyzhenskaya, on the occasion of her 80th birthday. O.A. Ladyzhenskaya graduated from the Moscow State University. But throughout her career she has been closely connected with St. Petersburg where she works at the V.A. Steklov Mathematical Institute of the Russian Academy of Sciences. Many generations of mathematicians have become familiar with the nonlinear theory of partial differential equations reading the books on quasilinear elliptic and parabolic equations written by O.A. Ladyzhenskaya with V.A. Solonnikov and N.N. Uraltseva. Her results and methods on the Navier-Stokes equations, and other mathematical problems in the theory of viscous fluids, nonlinear partial differential equations and systems, the regularity theory, some directions of computational analysis are well known. So it is no surprise that these two volumes attracted leading specialists in partial differential equations and mathematical physics from more than 15 countries, who present their new results in the various fields of mathematics in which the results, methods, and ideas of O.A. Ladyzhenskaya played a fundamental role. Nonlinear Problems in Mathematical Physics and Related Topics I presents new results from distinguished specialists in the theory of partial differential equations and analysis. A large part of the material is devoted to the Navier-Stokes equations, which play an important role in the theory of viscous fluids. In particular, the existence of a local strong solution (in the sense of Ladyzhenskaya) to the problem describing some special motion in a Navier-Stokes fluid is established. Ladyzhenskaya's results on axially symmetric solutions to the Navier-Stokes fluid are generalized and solutions with fast decay of nonstationary Navier-Stokes equations in the half-space are stated. Application of the Fourier-analysis to the study of the Stokes wave problem and some interesting properties of the Stokes problem are presented. The nonstationary Stokes problem is also investigated in nonconvex domains and some Lp-estimates for the first-order derivatives of solutions are obtained. New results in the theory of fully nonlinear equations are presented. Some asymptotics are derived for elliptic operators with strongly degenerated symbols. New results are also presented for variational problems connected with phase transitions of means in controllable dynamical systems, nonlocal problems for quasilinear parabolic equations, elliptic variational problems with nonstandard growth, and some sufficient conditions for the regularity of lateral boundary. Additionally, new results are presented on area formulas, estimates for eigenvalues in the case of the weighted Laplacian on Metric graph, application of the direct Lyapunov method in continuum mechanics, singular perturbation property of capillary surfaces, partially free boundary problem for parametric double integrals.
Reconstruction Of Manifolds And Subsets Of Normed Spaces From Subgroups Of Their Homeomorphism Groups
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Author : Matatyahu Rubin
language : en
Publisher:
Release Date : 2005
Reconstruction Of Manifolds And Subsets Of Normed Spaces From Subgroups Of Their Homeomorphism Groups written by Matatyahu Rubin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Group theory categories.
Parabolic And Navier Stokes Equations
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Author :
language : en
Publisher:
Release Date : 2008
Parabolic And Navier Stokes Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Differential equations, Parabolic categories.
Regularity And Other Aspects Of The Navier Stokes Equations
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Author : Piotr Mucha
language : en
Publisher:
Release Date : 2005
Regularity And Other Aspects Of The Navier Stokes Equations written by Piotr Mucha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Navier-Stokes equations categories.