Well Posedness Of Linear Hyperbolic Problems

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Well-posedness of Linear Hyperbolic Problems

Author : Aleksandr Mikhaĭlovich Blokhin
Publisher : Nova Publishers
ISBN 13 : 9781594549762
Total Pages : 178 pages
Book Rating : 4.5/5 (497 download)

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Book Synopsis Well-posedness of Linear Hyperbolic Problems by : Aleksandr Mikhaĭlovich Blokhin

Download or read book Well-posedness of Linear Hyperbolic Problems written by Aleksandr Mikhaĭlovich Blokhin and published by Nova Publishers. This book was released on 2006 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book will be useful for students and specialists of partial differential equations and the mathematical sciences because it clarifies crucial points of Kreiss' symmetrizer technique. The Kreiss technique was developed by H.O. Kreiss for initial boundary value problems for linear hyperbolic systems. This technique is important because it involves equations that are used in many of the applied sciences. The research presented in this book takes unique approaches to exploring the Kreiss technique that will add insight and new perspectives to linear hyperbolic problems"--Publ. web site.

Hyperbolic Systems with Analytic Coefficients

Author : Tatsuo Nishitani
Publisher : Springer
ISBN 13 : 3319022733
Total Pages : 245 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Hyperbolic Systems with Analytic Coefficients by : Tatsuo Nishitani

Download or read book Hyperbolic Systems with Analytic Coefficients written by Tatsuo Nishitani and published by Springer. This book was released on 2013-11-19 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses on the well-posedness of the Cauchy problem for linear hyperbolic systems with matrix coefficients. Mainly two questions are discussed: (A) Under which conditions on lower order terms is the Cauchy problem well posed? (B) When is the Cauchy problem well posed for any lower order term? For first order two by two systems with two independent variables with real analytic coefficients, we present complete answers for both (A) and (B). For first order systems with real analytic coefficients we prove general necessary conditions for question (B) in terms of minors of the principal symbols. With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contain strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term. We also prove that any hyperbolic system which is close to a hyperbolic system with a nondegenerate characteristic of multiple order has a nondegenerate characteristic of the same order nearby.

New Trends in the Theory of Hyperbolic Equations

Author : Michael Reissig
Publisher : Springer Science & Business Media
ISBN 13 : 3764373865
Total Pages : 520 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis New Trends in the Theory of Hyperbolic Equations by : Michael Reissig

Download or read book New Trends in the Theory of Hyperbolic Equations written by Michael Reissig and published by Springer Science & Business Media. This book was released on 2006-03-21 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting several developments in the theory of hyperbolic equations, this book's contributions deal with questions of low regularity, critical growth, ill-posedness, decay estimates for solutions of different non-linear hyperbolic models, and introduce new approaches based on microlocal methods.

Handbook of Numerical Methods for Hyperbolic Problems

Author : Remi Abgrall
Publisher : Elsevier
ISBN 13 : 044463911X
Total Pages : 610 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Handbook of Numerical Methods for Hyperbolic Problems by : Remi Abgrall

Download or read book Handbook of Numerical Methods for Hyperbolic Problems written by Remi Abgrall and published by Elsevier. This book was released on 2017-01-16 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and become familiar with their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage

Hyperbolic Problems: Theory, Numerics and Applications

Author : Eitan Tadmor
Publisher : American Mathematical Soc.
ISBN 13 : 0821847295
Total Pages : 361 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics and Applications by : Eitan Tadmor

Download or read book Hyperbolic Problems: Theory, Numerics and Applications written by Eitan Tadmor and published by American Mathematical Soc.. This book was released on 2009 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 'HYP2008', was held at the University of Maryland from June 9-13, 2008. This book, the first in a two-part volume, contains nineteen papers based on plenary and invited talks presented at the conference.

Hyperbolic Problems: Theory, Numerics, Applications

Author : Sylvie Benzoni-Gavage
Publisher : Springer Science & Business Media
ISBN 13 : 3540757120
Total Pages : 1117 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Sylvie Benzoni-Gavage

Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Sylvie Benzoni-Gavage and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 1117 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hyperbolic Differential Operators And Related Problems

Author : Vincenzo Ancona
Publisher : CRC Press
ISBN 13 : 9780203911143
Total Pages : 390 pages
Book Rating : 4.9/5 (111 download)

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Book Synopsis Hyperbolic Differential Operators And Related Problems by : Vincenzo Ancona

Download or read book Hyperbolic Differential Operators And Related Problems written by Vincenzo Ancona and published by CRC Press. This book was released on 2003-03-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting research from more than 30 international authorities, this reference provides a complete arsenal of tools and theorems to analyze systems of hyperbolic partial differential equations. The authors investigate a wide variety of problems in areas such as thermodynamics, electromagnetics, fluid dynamics, differential geometry, and topology. Renewing thought in the field of mathematical physics, Hyperbolic Differential Operators defines the notion of pseudosymmetry for matrix symbols of order zero as well as the notion of time function. Surpassing previously published material on the topic, this text is key for researchers and mathematicians specializing in hyperbolic, Schrödinger, Einstein, and partial differential equations; complex analysis; and mathematical physics.

Multi-dimensional Hyperbolic Partial Differential Equations

Author : Sylvie Benzoni-Gavage
Publisher : Oxford University Press on Demand
ISBN 13 : 019921123X
Total Pages : 535 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Multi-dimensional Hyperbolic Partial Differential Equations by : Sylvie Benzoni-Gavage

Download or read book Multi-dimensional Hyperbolic Partial Differential Equations written by Sylvie Benzoni-Gavage and published by Oxford University Press on Demand. This book was released on 2007 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by leading scholars, this comprehensive text presents a view of the multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved useful. It is useful to graduates and researchers in both hyperbolic PDEs and compressible fluid dynamics.

Hyperbolic Equations and Related Topics

Author : Sigeru Mizohata
Publisher : Academic Press
ISBN 13 : 1483269256
Total Pages : 458 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Hyperbolic Equations and Related Topics by : Sigeru Mizohata

Download or read book Hyperbolic Equations and Related Topics written by Sigeru Mizohata and published by Academic Press. This book was released on 2014-05-10 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hyperbolic Equations and Related Topics covers the proceedings of the Taniguchi International Symposium, held in Katata, Japan on August 27-31, 1984 and in Kyoto, Japan on September 3-5, 1984. The book focuses on the mathematical analyses involved in hyperbolic equations. The selection first elaborates on complex vector fields; holomorphic extension of CR functions and related problems; second microlocalization and propagation of singularities for semi-linear hyperbolic equations; and scattering matrix for two convex obstacles. Discussions focus on the construction of asymptotic solutions, singular vector fields and Leibniz formula, second microlocalization along a Lagrangean submanifold, and hypo-analytic structures. The text then ponders on the Cauchy problem for effectively hyperbolic equations and for uniformly diagonalizable hyperbolic systems in Gevrey classes. The book takes a look at generalized Hamilton flows and singularities of solutions of the hyperbolic Cauchy problem and analytic and Gevrey well-posedness of the Cauchy problem for second order weakly hyperbolic equations with coefficients irregular in time. The selection is a dependable reference for researchers interested in hyperbolic equations.

Hyperbolic Problems: Theory, Numerics, Applications. Volume I

Author : Carlos Parés
Publisher : Springer Nature
ISBN 13 : 3031552601
Total Pages : 376 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications. Volume I by : Carlos Parés

Download or read book Hyperbolic Problems: Theory, Numerics, Applications. Volume I written by Carlos Parés and published by Springer Nature. This book was released on with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Geometry and Inverse Problems for Hyperbolic Equations

Author : V. G. Romanov
Publisher : Springer Science & Business Media
ISBN 13 : 364280781X
Total Pages : 160 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Integral Geometry and Inverse Problems for Hyperbolic Equations by : V. G. Romanov

Download or read book Integral Geometry and Inverse Problems for Hyperbolic Equations written by V. G. Romanov and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are currently many practical situations in which one wishes to determine the coefficients in an ordinary or partial differential equation from known functionals of its solution. These are often called "inverse problems of mathematical physics" and may be contrasted with problems in which an equation is given and one looks for its solution under initial and boundary conditions. Although inverse problems are often ill-posed in the classical sense, their practical importance is such that they may be considered among the pressing problems of current mathematical re search. A. N. Tihonov showed [82], [83] that there is a broad class of inverse problems for which a particular non-classical definition of well-posed ness is appropriate. This new definition requires that a solution be unique in a class of solutions belonging to a given subset M of a function space. The existence of a solution in this set is assumed a priori for some set of data. The classical requirement of continuous dependence of the solution on the data is retained but it is interpreted differently. It is required that solutions depend continuously only on that data which does not take the solutions out of M.

Well-Posed Linear Systems

Author : Olof J. Staffans
Publisher : Cambridge University Press
ISBN 13 : 0521825849
Total Pages : 795 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Well-Posed Linear Systems by : Olof J. Staffans

Download or read book Well-Posed Linear Systems written by Olof J. Staffans and published by Cambridge University Press. This book was released on 2005-02-24 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Hyperbolic Problems: Theory, Numerics, Applications

Author : Michael Fey
Publisher : Springer Science & Business Media
ISBN 13 : 9783764360870
Total Pages : 534 pages
Book Rating : 4.3/5 (68 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Michael Fey

Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Michael Fey and published by Springer Science & Business Media. This book was released on 1999-04-01 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: [Infotext]((Kurztext))These are the proceedings of the 7th International Conference on Hyperbolic Problems, held in Zürich in February 1998. The speakers and contributors have been rigorously selected and present the state of the art in this field. The articles, both theoretical and numerical, encompass a wide range of applications, such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics. ((Volltext))These proceedings contain, in two volumes, approximately one hundred papers presented at the conference on hyperbolic problems, which has focused to a large extent on the laws of nonlinear hyperbolic conservation. Two-fifths of the papers are devoted to mathematical aspects such as global existence, uniqueness, asymptotic behavior such as large time stability, stability and instabilities of waves and structures, various limits of the solution, the Riemann problem and so on. Roughly the same number of articles are devoted to numerical analysis, for example stability and convergence of numerical schemes, as well as schemes with special desired properties such as shock capturing, interface fitting and high-order approximations to multidimensional systems. The results in these contributions, both theoretical and numerical, encompass a wide range of applications such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics.

Hyperbolic Partial Differential Equations

Author : Serge Alinhac
Publisher : Springer Science & Business Media
ISBN 13 : 0387878238
Total Pages : 159 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Hyperbolic Partial Differential Equations by : Serge Alinhac

Download or read book Hyperbolic Partial Differential Equations written by Serge Alinhac and published by Springer Science & Business Media. This book was released on 2009-06-17 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent introduction to hyperbolic differential equations is devoted to linear equations and symmetric systems, as well as conservation laws. The book is divided into two parts. The first, which is intuitive and easy to visualize, includes all aspects of the theory involving vector fields and integral curves; the second describes the wave equation and its perturbations for two- or three-space dimensions. Over 100 exercises are included, as well as "do it yourself" instructions for the proofs of many theorems. Only an understanding of differential calculus is required. Notes at the end of the self-contained chapters, as well as references at the end of the book, enable ease-of-use for both the student and the independent researcher.

Hyperbolic Problems

Author : Eitan Tadmor
Publisher : American Mathematical Society(RI)
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Hyperbolic Problems by : Eitan Tadmor

Download or read book Hyperbolic Problems written by Eitan Tadmor and published by American Mathematical Society(RI). This book was released on 2009 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The International Conference on Hyperbolic Problems: Theory, Numerics and Applications', 'HYP2008', was held at the University of Maryland from June 9-14, 2008. This title contains articles that cover a range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of 'hyperbolic PDEs'.

Hyperbolic Problems: Theory, Numerics, Applications

Author : Heinrich Freistühler
Publisher : Birkhäuser
ISBN 13 : 3034883722
Total Pages : 471 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Heinrich Freistühler

Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Heinrich Freistühler and published by Birkhäuser. This book was released on 2012-12-06 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. The mathematical theory of hyperbolic equations has recently made considerable progress. Accurate and efficient numerical schemes for computation have been and are being further developed. This two-volume set of conference proceedings contains about 100 refereed and carefully selected papers. The books are intended for researchers and graduate students in mathematics, science and engineering interested in the most recent results in theory and practice of hyperbolic problems. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended thermodynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability of shock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite element schemes, adaptive, multiresolution, and artificial dissipation methods.

Hyperbolic Problems and Regularity Questions

Author : Mariarosaria Padula
Publisher : Springer Science & Business Media
ISBN 13 : 3764374519
Total Pages : 229 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Hyperbolic Problems and Regularity Questions by : Mariarosaria Padula

Download or read book Hyperbolic Problems and Regularity Questions written by Mariarosaria Padula and published by Springer Science & Business Media. This book was released on 2007-01-21 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses new challenges in the quickly developing field of hyperbolic problems. Particular emphasis lies on the interaction between nonlinear partial differential equations, functional analysis and applied analysis as well as mechanics. The book originates from a recent conference focusing on hyperbolic problems and regularity questions. It is intended for researchers in functional analysis, PDE, fluid dynamics and differential geometry.