Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types, Chun Wen, Guo

Автор: Pr?ss
Название: Moving Interfaces and Quasilinear Parabolic Evolution Equations
ISBN: 3319276972 ISBN-13(EAN): 9783319276977
Издательство: Springer
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Цена: 121110.00 T
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Описание: 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.

Автор: Alexander Koshelev
Название: Regularity Problem for Quasilinear Elliptic and Parabolic Systems
ISBN: 3540602518 ISBN-13(EAN): 9783540602514
Издательство: Springer
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Цена: 41880.00 T
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Описание: This text deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described.

Автор: Randall J. LeVeque
Название: Finite Volume Methods for Hyperbolic Problems
ISBN: 0521009243 ISBN-13(EAN): 9780521009249
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.

Автор: Christian Klingenberg; Michael Westdickenberg
Название: Theory, Numerics and Applications of Hyperbolic Problems I
ISBN: 3030082725 ISBN-13(EAN): 9783030082727
Издательство: Springer
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Цена: 214280.00 T
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Описание: The first of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences.

Автор: Shi Jin; Lorenzo Pareschi
Название: Uncertainty Quantification for Hyperbolic and Kinetic Equations
ISBN: 331967109X ISBN-13(EAN): 9783319671093
Издательство: Springer
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Цена: 88500.00 T
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Описание: This book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance sampling, and moment methods.

Автор: Fuensanta Andreu-Vaillo; Vicent Caselles; Jos? M.
Название: Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
ISBN: 3764366192 ISBN-13(EAN): 9783764366193
Издательство: Springer
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Цена: 93130.00 T
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Описание: Details the mathematical developments in total variation based image restauration. This book is devoted to PDE`s of elliptic and parabolic type associated to functionals having a linear growth in the gradient, with a special emphasis on the applications related to image restoration and nonlinear filters.

Автор: David Hoff
Название: Linear and Quasilinear Parabolic Systems: Sobolev Space Theory
ISBN: 1470461617 ISBN-13(EAN): 9781470461614
Издательство: Mare Nostrum (Eurospan)
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Цена: 117040.00 T
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Описание: 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.

Автор: Jared Speck
Название: Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations
ISBN: 1470428571 ISBN-13(EAN): 9781470428570
Издательство: Mare Nostrum (Eurospan)
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Цена: 109950.00 T
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Описание: Serge Alinhac`s groundbreaking work on wave equations in the late 1990s was the first to treat more than one spatial dimension. In 2007, for the compressible Euler equations in vorticity-free regions, Demetrios Christodoulou remarkably sharpened Alinhac`s results. In this monograph, Christodoulou`s framework is extended to two classes of wave equations in three spatial dimensions.

Автор: Prьss Jan, Simonett Gieri
Название: Moving Interfaces and Quasilinear Parabolic Evolution Equations
ISBN: 3319801961 ISBN-13(EAN): 9783319801964
Издательство: Springer
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Цена: 158380.00 T
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Описание: 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.

Автор: Herbert Amann
Название: Linear and Quasilinear Parabolic Problems
ISBN: 3034899505 ISBN-13(EAN): 9783034899505
Издательство: Springer
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Цена: 130430.00 T
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Описание: This distinguishes it from the theory of nonlinear contraction semigroups whose basis is a nonlinear version of the Hille- Yosida theorem: the Crandall-Liggett theorem. Thus the theory of nonlinear contraction semigroups does not apply to systems, in general, since they do not allow for a maximum principle.

Автор: Luigi Ambrosio; Fabio Ancona; Gianluca Crippa; Ste
Название: Transport Equations and Multi-D Hyperbolic Conservation Laws
ISBN: 3540767800 ISBN-13(EAN): 9783540767800
Издательство: Springer
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Цена: 32560.00 T
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Описание: The theory of nonlinear hyperbolic equations in several space dimensions has obtained many achievements thanks to ideas and techniques related to the structure and fine properties of functions of bounded variation. This work gives an overview of the status and perspectives of two areas of research in PDEs, related to hyperbolic conservation laws.

Автор: Fuensanta Andreu-Vaillo; Vicent Caselles; Jos? M.
Название: Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
ISBN: 3034896247 ISBN-13(EAN): 9783034896245
Издательство: Springer
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Цена: 46570.00 T
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This book contains a detailed mathematical analysis of the variational approach to image restoration based on the minimization of the total variation submitted to the constraints given by the image acquisition model. This model, initially introduced by Rudin, Osher, and Fatemi, had a strong influence in the development of variational methods for image denoising and restoration, and pioneered the use of the BV model in image processing. After a full analysis of the model, the minimizing total variation flow is studied under different boundary conditions, and its main qualitative properties are exhibited. In particular, several explicit solutions of the denoising problem are computed.