Weak and Measure-Valued Solutions to Evolutionary PDEs

Weak and Measure-Valued Solutions to Evolutionary PDEs PDF Author: J. Necas
Publisher: CRC Press
ISBN: 1000723127
Category : Mathematics
Languages : en
Pages : 334

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Book Description
This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. It provides a rigorous analysis of non-Newtonian fluids, and outlines its results for applications in physics, biology, and mechanical engineering

Weak and Measure-Valued Solutions to Evolutionary PDEs

Weak and Measure-Valued Solutions to Evolutionary PDEs PDF Author: J. Necas
Publisher: CRC Press
ISBN: 9780412577505
Category : Mathematics
Languages : en
Pages : 334

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Book Description
This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. It provides a rigorous analysis of non-Newtonian fluids, and outlines its results for applications in physics, biology, and mechanical engineering

Weak and Measure-Valued Solutions to Evolutionary PDEs

Weak and Measure-Valued Solutions to Evolutionary PDEs PDF Author: J. Necas
Publisher: CRC Press
ISBN: 1000723127
Category : Mathematics
Languages : en
Pages : 334

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Book Description
This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. It provides a rigorous analysis of non-Newtonian fluids, and outlines its results for applications in physics, biology, and mechanical engineering

WEAL AND MEASURE-VALUED SOLUTIONS TO EVOLUTIONARY PDEs

WEAL AND MEASURE-VALUED SOLUTIONS TO EVOLUTIONARY PDEs PDF Author: Josef Malek
Publisher:
ISBN:
Category :
Languages : en
Pages : 317

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Book Description


Fourteenth International Conference Zaragoza–Pau on Mathematics and its Applications

Fourteenth International Conference Zaragoza–Pau on Mathematics and its Applications PDF Author: López de Silanes, M. C.
Publisher: Prensas de la Universidad de Zaragoza
ISBN: 8417358005
Category : Mathematics
Languages : en
Pages : 242

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Book Description
The International Conference Zaragoza-Pau on Mathematics and its Applications was organized by the Departamento de Matemática Aplicada, the Departamento de Métodos Estadísticos and the Departamento de Matemáticas, all of them from the Universidad de Zaragoza (Spain), and the Laboratoire de Mathématiques et de leurs Applications, from the Université de Pau et des Pays de l’Adour (France). This conference has been held every two years since 1989. The aim of this conference is to present recent advances in Applied Mathematics, Statistics and Pure Mathematics, putting special emphasis on subjects linked to petroleum engineering and environmental problems. The Fourteenth Conference took place in Jaca (Spain) from 12nd to 15th September 2016. During those four days, 99 mathematicians, coming from di erent universities, research institutes or the industrial sector, attended 14 plenary lectures, 62 contributed talks and a poster session with 4 posters. We note that in this edition there were 11 mini-symposia, two of them co-organized by colleagues from the Universidad de Zaragoza and the Université de Pau et des Pays de l’Adour.

Handbook of Differential Equations: Evolutionary Equations

Handbook of Differential Equations: Evolutionary Equations PDF Author: C.M. Dafermos
Publisher: Gulf Professional Publishing
ISBN: 9780444520487
Category : Mathematics
Languages : en
Pages : 684

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Book Description
This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous, and in depth surveys on the most important aspects of the present theory.

Evolution PDEs with Nonstandard Growth Conditions

Evolution PDEs with Nonstandard Growth Conditions PDF Author: Stanislav Antontsev
Publisher: Springer
ISBN: 9462391122
Category : Mathematics
Languages : en
Pages : 417

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Book Description
This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account of recent results. An overview of other approaches to the study of PDEs of this kind is provided. The presentation is focused on the issues of existence and uniqueness of solutions in appropriate function spaces and on the study of the specific qualitative properties of solutions, such as localization in space and time, extinction in a finite time and blow-up, or nonexistence of global in time solutions. Special attention is paid to the study of the properties intrinsic to solutions of equations with nonstandard growth.

Non-Newtonian Fluids

Non-Newtonian Fluids PDF Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110549611
Category : Mathematics
Languages : en
Pages : 350

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Book Description
This book provides an up-to-date overview of mathematical theories and research results in non-Newtonian fluid dynamics. Related mathematical models, solutions as well as numerical experiments are discussed. Fundamental theories and practical applications make it a handy reference for researchers and graduate students in mathematics, physics and engineering. Contents Non-Newtonian fluids and their mathematical model Global solutions to the equations of non-Newtonian fluids Global attractors of incompressible non-Newtonian fluids Global attractors of modified Boussinesq approximation Inertial manifolds of incompressible non-Newtonian fluids The regularity of solutions and related problems Global attractors and time-spatial chaos Non-Newtonian generalized fluid and their applications

Measure Theory and Nonlinear Evolution Equations

Measure Theory and Nonlinear Evolution Equations PDF Author: Flavia Smarrazzo
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110556049
Category : Mathematics
Languages : en
Pages : 307

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Book Description
This text on measure theory with applications to partial differential equations covers general measure theory, Lebesgue spaces of real-valued and vector-valued functions, different notions of measurability for the latter, weak convergence of functions and measures, Radon and Young measures, capacity. A comprehensive discussion of applications to quasilinear parabolic and hyperbolic problems is provided.

Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces

Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces PDF Author: Iwona Chlebicka
Publisher: Springer Nature
ISBN: 3030888568
Category : Mathematics
Languages : en
Pages : 389

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Book Description
This book provides a detailed study of nonlinear partial differential equations satisfying certain nonstandard growth conditions which simultaneously extend polynomial, inhomogeneous and fully anisotropic growth. The common property of the many different kinds of equations considered is that the growth conditions of the highest order operators lead to a formulation of the equations in Musielak–Orlicz spaces. This high level of generality, understood as full anisotropy and inhomogeneity, requires new proof concepts and a generalization of the formalism, calling for an extended functional analytic framework. This theory is established in the first part of the book, which serves as an introduction to the subject, but is also an important ingredient of the whole story. The second part uses these theoretical tools for various types of PDEs, including abstract and parabolic equations but also PDEs arising from fluid and solid mechanics. For connoisseurs, there is a short chapter on homogenization of elliptic PDEs. The book will be of interest to researchers working in PDEs and in functional analysis.

Hyperbolic Problems: Theory, Numerics, Applications

Hyperbolic Problems: Theory, Numerics, Applications PDF Author: Sylvie Benzoni-Gavage
Publisher: Springer Science & Business Media
ISBN: 3540757120
Category : Mathematics
Languages : en
Pages : 1117

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Book Description
This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.