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Author : Wolf von Wahl
Publisher : Vieweg+teubner Verlag
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Equations of Navier-Stokes and Abstract Parabolic Equations written by Wolf von Wahl and published by Vieweg+teubner Verlag. This book was released on 1985 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joanna Rencławowicz
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (44 download)
Download or read book Parabolic and Navier-Stokes equations written by Joanna Rencławowicz and published by . This book was released on 2008 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.3/5 (91 download)
Download or read book Parabolic and Navier-Stokes Equations written by and published by . This book was released on 2008 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Prüss
Publisher : Birkhäuser
ISBN 13 : 3319276980
Total Pages : 609 pages
Book Rating : 4.3/5 (192 download)
Download or read book Moving Interfaces and Quasilinear Parabolic Evolution Equations written by Jan Prüss and published by Birkhäuser. This book was released on 2016-07-25 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows. The theory of maximal regularity, an essential element, is also fully developed. The authors present a modern approach based on powerful tools in classical analysis, functional analysis, and vector-valued harmonic analysis. The theory is applied to problems in two-phase fluid dynamics and phase transitions, one-phase generalized Newtonian fluids, nematic liquid crystal flows, Maxwell-Stefan diffusion, and a variety of geometric evolution equations. The book also includes a discussion of the underlying physical and thermodynamic principles governing the equations of fluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.
Author : Heinz-Otto Kreiss
Publisher : SIAM
ISBN 13 : 0898719135
Total Pages : 408 pages
Book Rating : 4.8/5 (987 download)
Download or read book Initial-boundary Value Problems and the Navier-Stokes Equations written by Heinz-Otto Kreiss and published by SIAM. This book was released on 1989-01-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This book provides an introduction to the vast subject of initial and initial-boundary value problems for PDEs, with an emphasis on applications to parabolic and hyperbolic systems. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. Researchers and graduate students in applied mathematics and engineering will find Initial-Boundary Value Problems and the Navier-Stokes Equations invaluable. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are used in modeling or when they are solved numerically. The reader will learn what well-posedness or ill-posedness means and how it can be demonstrated for concrete problems. There are many new results, in particular on the Navier-Stokes equations. The direct approach to the subject still gives a valuable introduction to an important area of applied analysis.
Author : Tomasz W. Dłotko
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311059983X
Total Pages : 300 pages
Book Rating : 4.1/5 (15 download)
Download or read book Critical Parabolic-Type Problems written by Tomasz W. Dłotko and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-05 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book covers the theory of semilinear equations with sectorial operator going back to the studies of Yosida, Henry, and Pazy, which are deeply extended nowadays. The treatment emphasizes existence-uniqueness theory as a topic of functional analysis and examines abstract evolutionary equations, with applications to the Navier-Stokes system, the quasi-geostrophic equation, and fractional reaction-diffusion equations.
Author :
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (316 download)
Download or read book Parabolic and Navier-Stokes Equations written by and published by . This book was released on 2008 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yuming Qin
Publisher : Springer Science & Business Media
ISBN 13 : 3034802803
Total Pages : 181 pages
Book Rating : 4.0/5 (348 download)
Download or read book Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems written by Yuming Qin and published by Springer Science & Business Media. This book was released on 2012-02-28 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent results on nonlinear parabolic-hyperbolic coupled systems such as the compressible Navier-Stokes equations, and liquid crystal system. It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material. All models under consideration are built on compressible equations and liquid crystal systems. This type of partial differential equations arises not only in many fields of mathematics, but also in other branches of science such as physics, fluid dynamics and material science.
Author : Beatrice Riviere
Publisher : SIAM
ISBN 13 : 089871656X
Total Pages : 201 pages
Book Rating : 4.8/5 (987 download)
Download or read book Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations written by Beatrice Riviere and published by SIAM. This book was released on 2008-12-18 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on three primal DG methods, covering both theory and computation, and providing the basic tools for analysis.
Author : Tomasz W. Dłotko
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311059868X
Total Pages : 217 pages
Book Rating : 4.1/5 (15 download)
Download or read book Critical Parabolic-Type Problems written by Tomasz W. Dłotko and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-05 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book covers the theory of semilinear equations with sectorial operator going back to the studies of Yosida, Henry, and Pazy, which are deeply extended nowadays. The treatment emphasizes existence-uniqueness theory as a topic of functional analysis and examines abstract evolutionary equations, with applications to the Navier-Stokes system, the quasi-geostrophic equation, and fractional reaction-diffusion equations.
Author : Ionuţ Munteanu
Publisher : Springer
ISBN 13 : 3030110990
Total Pages : 214 pages
Book Rating : 4.0/5 (31 download)
Download or read book Boundary Stabilization of Parabolic Equations written by Ionuţ Munteanu and published by Springer. This book was released on 2019-02-15 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a technique, developed by the author, to design asymptotically exponentially stabilizing finite-dimensional boundary proportional-type feedback controllers for nonlinear parabolic-type equations. The potential control applications of this technique are wide ranging in many research areas, such as Newtonian fluid flows modeled by the Navier-Stokes equations; electrically conducted fluid flows; phase separation modeled by the Cahn-Hilliard equations; and deterministic or stochastic semi-linear heat equations arising in biology, chemistry, and population dynamics modeling. The text provides answers to the following problems, which are of great practical importance: Designing the feedback law using a minimal set of eigenfunctions of the linear operator obtained from the linearized equation around the target state Designing observers for the considered control systems Constructing time-discrete controllers requiring only partial knowledge of the state After reviewing standard notations and results in functional analysis, linear algebra, probability theory and PDEs, the author describes his novel stabilization algorithm. He then demonstrates how this abstract model can be applied to stabilization problems involving magnetohydrodynamic equations, stochastic PDEs, nonsteady-states, and more. Boundary Stabilization of Parabolic Equations will be of particular interest to researchers in control theory and engineers whose work involves systems control. Familiarity with linear algebra, operator theory, functional analysis, partial differential equations, and stochastic partial differential equations is required.
Author : Franck Boyer
Publisher : Springer Science & Business Media
ISBN 13 : 1461459753
Total Pages : 538 pages
Book Rating : 4.4/5 (614 download)
Download or read book Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models written by Franck Boyer and published by Springer Science & Business Media. This book was released on 2012-11-06 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors’ aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject. .
Author : Victor A. Galaktionov
Publisher : CRC Press
ISBN 13 : 1482251736
Total Pages : 565 pages
Book Rating : 4.4/5 (822 download)
Download or read book Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations written by Victor A. Galaktionov and published by CRC Press. This book was released on 2014-09-22 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs.The book
Author : Viorel Barbu
Publisher : Springer
ISBN 13 : 331976666X
Total Pages : 226 pages
Book Rating : 4.3/5 (197 download)
Download or read book Controllability and Stabilization of Parabolic Equations written by Viorel Barbu and published by Springer. This book was released on 2018-04-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents controllability and stabilization methods in control theory that solve parabolic boundary value problems. Starting from foundational questions on Carleman inequalities for linear parabolic equations, the author addresses the controllability of parabolic equations on a variety of domains and the spectral decomposition technique for representing them. This method is, in fact, designed for use in a wider class of parabolic systems that include the heat and diffusion equations. Later chapters develop another process that employs stabilizing feedback controllers with a finite number of unstable modes, with special attention given to its use in the boundary stabilization of Navier–Stokes equations for the motion of viscous fluid. In turn, these applied methods are used to explore related topics like the exact controllability of stochastic parabolic equations with linear multiplicative noise. Intended for graduate students and researchers working on control problems involving nonlinear differential equations, Controllability and Stabilization of Parabolic Equations is the distillation of years of lectures and research. With a minimum of preliminaries, the book leaps into its applications for control theory with both concrete examples and accessible solutions to problems in stabilization and controllability that are still areas of current research.
Author : James C. Robinson
Publisher : Cambridge University Press
ISBN 13 : 9780521632041
Total Pages : 488 pages
Book Rating : 4.6/5 (32 download)
Download or read book Infinite-Dimensional Dynamical Systems written by James C. Robinson and published by Cambridge University Press. This book was released on 2001-04-23 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the theory of global attractors, a recent development in the theory of partial differential equations, in a way that also includes much of the traditional elements of the subject. As such it gives a quick but directed introduction to some fundamental concepts, and by the end proceeds to current research problems. Since the subject is relatively new, this is the first book to attempt to treat these various topics in a unified and didactic way. It is intended to be suitable for first year graduate students.
Author : David Hoff
Publisher : American Mathematical Soc.
ISBN 13 : 1470461617
Total Pages : 226 pages
Book Rating : 4.4/5 (74 download)
Download or read book Linear and Quasilinear Parabolic Systems: Sobolev Space Theory written by David Hoff and published by American Mathematical Soc.. This book was released on 2020-11-18 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinear systems are given, including local existence for large data, global existence near an attractor, the Leray and Hopf theorems for the Navier-Stokes equations and results concerning invariant regions. Supplementary material is provided, including a self-contained treatment of the calculus of Sobolev functions on the boundaries of Lipschitz domains and a thorough discussion of measurability considerations for elements of Bochner-Sobolev spaces. This book will be particularly useful both for researchers requiring accessible and broadly applicable formulations of standard results as well as for students preparing for research in applied analysis. Readers should be familiar with the basic facts of measure theory and functional analysis, including weak derivatives and Sobolev spaces. Prior work in partial differential equations is helpful but not required.
Author : Robert Denk
Publisher : Springer Science & Business Media
ISBN 13 : 3319020005
Total Pages : 254 pages
Book Rating : 4.3/5 (19 download)
Download or read book General Parabolic Mixed Order Systems in Lp and Applications written by Robert Denk and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, a theory for general linear parabolic partial differential equations is established which covers equations with inhomogeneous symbol structure as well as mixed-order systems. Typical applications include several variants of the Stokes system and free boundary value problems. We show well-posedness in Lp-Lq-Sobolev spaces in time and space for the linear problems (i.e., maximal regularity) which is the key step for the treatment of nonlinear problems. The theory is based on the concept of the Newton polygon and can cover equations which are not accessible by standard methods as, e.g., semigroup theory. Results are obtained in different types of non-integer Lp-Sobolev spaces as Besov spaces, Bessel potential spaces, and Triebel–Lizorkin spaces. The last-mentioned class appears in a natural way as traces of Lp-Lq-Sobolev spaces. We also present a selection of applications in the whole space and on half-spaces. Among others, we prove well-posedness of the linearizations of the generalized thermoelastic plate equation, the two-phase Navier–Stokes equations with Boussinesq–Scriven surface, and the Lp-Lq two-phase Stefan problem with Gibbs–Thomson correction.
