The Equations of Navier-Stokes and Abstract Parabolic Equations PDF Download
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Author: Wolf von Wahl
Publisher: Vieweg+teubner Verlag
ISBN:
Category : Mathematics
Languages : de
Pages : 296
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Book Description
Author: Wolf von Wahl
Publisher: Vieweg+teubner Verlag
ISBN:
Category : Mathematics
Languages : de
Pages : 296
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Book Description
Author: Joanna Rencławowicz
Publisher:
ISBN:
Category :
Languages : en
Pages : 320
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 292
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Book Description
Author: Joanna Rencławowicz
Publisher:
ISBN:
Category : Differential equations, Parabolic
Languages : en
Pages : 612
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Book Description
Author: Tomasz W. Dłotko
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311059983X
Category : Mathematics
Languages : en
Pages : 300
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Book Description
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: Yuming Qin
Publisher: Springer Science & Business Media
ISBN: 3034802803
Category : Mathematics
Languages : en
Pages : 181
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Book Description
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 It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material.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: Jan Prüss
Publisher: Birkhäuser
ISBN: 3319276980
Category : Mathematics
Languages : en
Pages : 618
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Book Description
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: Beatrice Riviere
Publisher: SIAM
ISBN: 089871656X
Category : Mathematics
Languages : en
Pages : 201
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Book Description
Focuses on three primal DG methods, covering both theory and computation, and providing the basic tools for analysis.
Author: Heinz-Otto Kreiss
Publisher: SIAM
ISBN: 0898719135
Category : Science
Languages : en
Pages : 408
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Book Description
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.
